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Closed form Solutions to Some Nonlinear equations by a Generalized Cole-Hopf Transformation
Mayer Humi
2014-07-20T23:59:59.000Z
In the first part of this paper we linearize and solve the Van der Pol and Lienard equations with some additional nonlinear terms by the application of a generalized form of Cole-Hopf transformation. We then show that the same transformation can be used to linearize Painleve III equation for certain combinations of its parameters. Finally we linearize new forms of Burger's and related convective equations with higher order nonlinearities.
Nonlinear H Control of Uncertain Nonholonomic Systems in Chained Forms
Guo, Yi
in their chained form kinematic models. State feedback controllers are explicitly constructed to guarantee an L2, the system states are regulated to the origin. Recent results in robust and adaptive control of uncertain of a similar configuration was presented in [7]. Near optimal tracking control was designed in [18] to take
Nonlinear models Nonlinear Regression
Penny, Will
Nonlinear models Will Penny Nonlinear Regression Nonlinear Regression Priors Energies Posterior, UCL, March 2013 #12;Nonlinear models Will Penny Nonlinear Regression Nonlinear Regression Priors Example Sampling Metropolis-Hasting Proposal density References Nonlinear Regression We consider
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Stationary nonlinear Airy beams
Lotti, A. [Dipartimento di Fisica e Matematica, Universita del'Insubria, Via Valleggio 11, I-22100 Como (Italy); Centre de Physique Theorique, CNRS, Ecole Polytechnique, F-91128 Palaiseau (France); Faccio, D. [Dipartimento di Fisica e Matematica, Universita del'Insubria, Via Valleggio 11, I-22100 Como (Italy); School of Engineering and Physical Sciences, SUPA, Heriot-Watt University, Edinburgh EH14 4AS (United Kingdom); Couairon, A. [Centre de Physique Theorique, CNRS, Ecole Polytechnique, F-91128 Palaiseau (France); Papazoglou, D. G. [Institute of Electronic Structure and Laser (IESL), Foundation for Research and Technology, Hellas (FORTH), P.O. Box 1527, GR-71110 Heraklion (Greece); Materials Science and Technology Department, University of Crete, GR-71003 Heraklion (Greece); Panagiotopoulos, P.; Tzortzakis, S. [Institute of Electronic Structure and Laser (IESL), Foundation for Research and Technology, Hellas (FORTH), P.O. Box 1527, GR-71110 Heraklion (Greece); Abdollahpour, D. [Institute of Electronic Structure and Laser (IESL), Foundation for Research and Technology, Hellas (FORTH), P.O. Box 1527, GR-71110 Heraklion (Greece); Physics Department, University of Crete, GR-71003 Heraklion (Greece)
2011-08-15T23:59:59.000Z
We demonstrate the existence of an additional class of stationary accelerating Airy wave forms that exist in the presence of third-order (Kerr) nonlinearity and nonlinear losses. Numerical simulations and experiments, in agreement with the analytical model, highlight how these stationary solutions sustain the nonlinear evolution of Airy beams. The generic nature of the Airy solution allows extension of these results to other settings, and a variety of applications are suggested.
Reconstruction of nonlinear wave propagation
Fleischer, Jason W; Barsi, Christopher; Wan, Wenjie
2013-04-23T23:59:59.000Z
Disclosed are systems and methods for characterizing a nonlinear propagation environment by numerically propagating a measured output waveform resulting from a known input waveform. The numerical propagation reconstructs the input waveform, and in the process, the nonlinear environment is characterized. In certain embodiments, knowledge of the characterized nonlinear environment facilitates determination of an unknown input based on a measured output. Similarly, knowledge of the characterized nonlinear environment also facilitates formation of a desired output based on a configurable input. In both situations, the input thus characterized and the output thus obtained include features that would normally be lost in linear propagations. Such features can include evanescent waves and peripheral waves, such that an image thus obtained are inherently wide-angle, farfield form of microscopy.
NONLINEAR OPTICS AT INTERFACES
Chen, Chenson K.
2010-01-01T23:59:59.000Z
N. Bloembergen, Nonlinear Optics (W. A. Benjamin, 1977) p.Research Division NONLINEAR OPTICS AT INTERFACES Chenson K.ED LBL-12084 NONLINEAR OPTICS AT INTERFACES Chenson K. Chen
Graphene Nanobubble: A New Optical Nonlinear Material
Bao, Qiaoliang; Xiang, Yuanjiang; Zhang, Kai; Li, Shaojuan; Jiang, Xiaofang; Xu, Qing-Hua; Loh, Kian Ping; Venkatesan, T
2015-01-01T23:59:59.000Z
Graphene is a rising star in nonlinear optics due to its saturable absorption and giant Kerr nonlinearity, these properties are useful in digital optics based on optical nonlinear devices. However, practical applications require large optical nonlinearities and these are inherently limited by the interaction length of atomically thin graphene. Here, we demonstrate optical bistability in a Fabry Perot cavity containing monolayer and bilayer graphene which have been restructured to form nanobubbles. We find that graphene nanobubble can act as a new type of optical nonlinear media due to its vertical side wall as well as added curvature, which enable strong non linear dispersive effects leading to a large optically induced phase change. Unlike thermally induced bistability, the all optical switching between two transmission states happens within a time scale of tens of nanoseconds. Nanobubble based optical devices with intrinsic optical nonlinearity help to overcome the optical path length limitation of atomical...
Barus, R. P. P., E-mail: rismawan.ppb@gmail.com [Engineering Physics, Faculty of Industrial Technology, Institut Teknologi Bandung, Jalan Ganesa 10 Bandung and Centre for Material and Technical Product, Jalan Sangkuriang No. 14 Bandung (Indonesia); Tjokronegoro, H. A.; Leksono, E. [Engineering Physics, Faculty of Industrial Technology, Institut Teknologi Bandung, Jalan Ganesa 10 Bandung (Indonesia); Ismunandar [Chemistry Study, Faculty of Mathematics and Science, Institut Teknologi Bandung, Jalan Ganesa 10 Bandung (Indonesia)
2014-09-25T23:59:59.000Z
Fuel cells are promising new energy conversion devices that are friendly to the environment. A set of control systems are required in order to operate a fuel cell based power plant system optimally. For the purpose of control system design, an accurate fuel cell stack model in describing the dynamics of the real system is needed. Currently, linear model are widely used for fuel cell stack control purposes, but it has limitations in narrow operation range. While nonlinear models lead to nonlinear control implemnetation whos more complex and hard computing. In this research, nonlinear cancellation technique will be used to transform a nonlinear model into a linear form while maintaining the nonlinear characteristics. The transformation is done by replacing the input of the original model by a certain virtual input that has nonlinear relationship with the original input. Then the equality of the two models is tested by running a series of simulation. Input variation of H2, O2 and H2O as well as disturbance input I (current load) are studied by simulation. The error of comparison between the proposed model and the original nonlinear model are less than 1 %. Thus we can conclude that nonlinear cancellation technique can be used to represent fuel cell nonlinear model in a simple linear form while maintaining the nonlinear characteristics and therefore retain the wide operation range.
Liu, Chang
2015-01-01T23:59:59.000Z
The nonlinear frequency shift is derived in a transparent asymptotic form for intense Langmuir waves in general collisionless plasma. The formula describes both fluid and kinetic effects simultaneously. The fluid nonlinearity is expressed, for the ?first time, through the plasma dielectric function, and the kinetic nonlinearity accounts for both smooth distributions and trapped-particle beams. Various known limiting scalings are reproduced as special cases. The calculation avoids differential equations and can be extended straightforwardly to other nonlinear plasma waves.
Gallium/aluminum nanocomposite material for nonlinear optics and nonlinear plasmonics
Zheludev, Nikolay
Gallium/aluminum nanocomposite material for nonlinear optics and nonlinear plasmonics A. V penetration of gallium into an aluminum film. These composite films form mirrorlike interfaces with silica optics and active plasmonics. The material is a polycrystalline aluminum film on a silica sub- strate
Oakland City Center (OCC)_Directions.pptx
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Shen, Y.R.
2010-01-01T23:59:59.000Z
B. de Castro, and Y. R. Shen, Optics Lett. i, 393 See, for3, 1980 SURFACE NONLINEAR OPTICS Y.R. Shen, C.K. Chen, andde Janiero SURFRACE NONLINEAR OPTICS Y. R. Shen, C. K. Chen,
57
2014-05-12T23:59:59.000Z
Journal of Nonlinear Science. The Principle of Hamilton for Mechanical Systems with Impacts and Unilateral. Constraints. --Manuscript Draft--. Manuscript ...
Nonlinear multiferroic phase shifters for microwave frequencies
Ustinov, Alexey B.; Kalinikos, Boris A. [Department of Physical Electronics and Technology, St. Petersburg Electrotechnical University, St. Petersburg 197376 (Russian Federation); Srinivasan, G. [Department of Physics, Oakland University, Rochester, Michigan 48309 (United States)
2014-02-03T23:59:59.000Z
A nonlinear microwave phase shifter based on a planar multiferroic composite has been studied. The multiferroic structure is fabricated in the form of a bilayer consisting of yttrium iron garnet and barium strontium titanate. The principle of operation of the device is based on the linear and nonlinear control of the phase shift of the hybrid spin-electromagnetic waves propagating in the bilayer. The linear control is realized with magnetic and electric fields. The nonlinear control is provided by the input power of microwave signal. The device showed a nonlinear phase shift up to 250°, electric field induced phase shift up to 330°, and magnetic field induced phase shift of more than 180°.
Nonlinear Circuit Analysis An Introduction 1. Why nonlinear circuits?
Hart, Gus
Nonlinear Circuit Analysis An Introduction 1. Why nonlinear circuits? Electrical devices: the oscillator. 2. What is a nonlinear circuit? It is easy to understand the difference between a linear and a nonlinear circuit by looking at the difference between a linear and a nonlinear equation: y x ¡ 2 (1) y
Shock wave in Euler - Heisenberg - Köckel nonlinear vacuum
Lubomir M. Kovachev; Daniela A. Georgieva; Kamen L. Kovachev
2014-09-05T23:59:59.000Z
An analytical approach to the theory of electromagnetic waves in nonlinear vacuum is developed. The evolution of the pulse is governed by a system of nonlinear wave vector equations. Exact solution with own angular momentum in form of a shock wave is obtained.
NONLINEAR OPTICS AT INTERFACES
Chen, Chenson K.
2010-01-01T23:59:59.000Z
Surface Plasmons at a Metal-Dielectric Interface . . . .Plasmons at Metal-Dielectric Interfaces . . . . A. GeneralNONLINEAR OPTICS AT INTERFACES Chenson K. Chen (Ph.D.
Spherical Wave Propagation in a Nonlinear Elastic Medium
Korneev, Valeri A.
2009-07-01T23:59:59.000Z
Nonlinear propagation of spherical waves generated by a point-pressure source is considered for the cases of monochromatic and impulse primary waveforms. The nonlinear five-constant elastic theory advanced by Murnaghan is used where general equations of motion are put in the form of vector operators, which are independent of the coordinate system choice. The ratio of the nonlinear field component to the primary wave in the far field is proportional to ln(r) where r is a propagation distance. Near-field components of the primary field do not contribute to the far field of nonlinear component.
Variable nonlinear resistances
Howard, James Edgar
1955-01-01T23:59:59.000Z
VARIETAL". NONLINEAR RESIS'IANCES A Thes1s JA'. 4ES EDGAR HOWARD as to style and content by Head Department January 1955 LIBRARY A 4 IS COLLEGE PF TEXAS VARIABLE NONLINEAR RESISTANCES A Thesis By JAMES EDGAR HOWARD Submitted...
Optimization Online - Nonlinear Optimization Submissions - 2014
Nonlinear Optimization Submissions - 2014. January 2014. Constrained Nonlinear Optimization New active set identification for general constrained ...
DEWI OCC Offshore and Certification Centre GmbH DEWI OCC | Open Energy
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE: Alternative Fuels Data Center Home Page on Google Bookmark EERE: Alternative Fuels Data Center Home Page on DeliciousPlasmaP a g eWorks - As Prepared forChoice Electric Co Jump to: navigation,CommentsCumas Geracao de
Nonlinear extraordinary wave in dense plasma
Krasovitskiy, V. B., E-mail: krasovit@mail.ru [Russian Academy of Sciences, Keldysh Institute of Applied Mathematics (Russian Federation); Turikov, V. A. [Russian University of Peoples’ Friendship (Russian Federation)] [Russian University of Peoples’ Friendship (Russian Federation)
2013-10-15T23:59:59.000Z
Conditions for the propagation of a slow extraordinary wave in dense magnetized plasma are found. A solution to the set of relativistic hydrodynamic equations and Maxwell’s equations under the plasma resonance conditions, when the phase velocity of the nonlinear wave is equal to the speed of light, is obtained. The deviation of the wave frequency from the resonance frequency is accompanied by nonlinear longitudinal-transverse oscillations. It is shown that, in this case, the solution to the set of self-consistent equations obtained by averaging the initial equations over the period of high-frequency oscillations has the form of an envelope soliton. The possibility of excitation of a nonlinear wave in plasma by an external electromagnetic pulse is confirmed by numerical simulations.
Lyapunov functions nonlinear spaces
Hafstein, Sigurður Freyr
Lyapunov functions on nonlinear spaces R. Sepulchre -- University of Liege, Belgium Reykjavik - July 2013 Constructing Lyapunov functions: a personal journey · Lyap functions in linear spaces (1994: homogeneous spaces with flat, positive, and negative curvature) Lyapunov functions in linear spaces 3
Separable nonlinear programming
Bunton, Wiley Ray
1963-01-01T23:59:59.000Z
. . . An Example . . Development of the Simplex Algorithm Definition of Nonlinear Programming . Survey of Nonlinear Methods. . . . . . II. MILLER'S METHOD 10 The Algorithm. An Example . . Termination and Optimality. . . . . . . . . . . Modeling Devices... oils. In order to maximize daily profits. how much of each motor fuel should be made and how should the raw stocks be blended? Let: motor fuel A = premium gasoline motor fuel 8 = regular gasoline and let subscripts p and r refer to premium...
Lu, Jen-Tang; Fleischer, Jason W
2015-01-01T23:59:59.000Z
Nonlinear imaging systems can surpass the limits of linear optics, but to date they have all relied on physical media (e.g. crystals) to work. These materials are all constrained by their physical properties, such as frequency selectivity, environmental sensitivity, time behavior, and fixed nonlinear response. Here, we show that electro-optic spatial light modulators (SLMs) can take the place of traditional nonlinear media, provided that there is a feedback between the shape of the object and the pattern on the modulator. This feedback creates a designer illumination that generalizes the field of adaptive optics to include object-dependent patterns. Unlike physical media, the SLM response can provide arbitrary mathematical functions, operate over broad bandwidths at high speeds, and work equally well at high power and single-photon levels. We demonstrate the method experimentally for both coherent and incoherent light.
Nonlinearly driven harmonics of Alfvén modes
Zhang, B., E-mail: bozhang@austin.utexas.edu; Breizman, B. N.; Zheng, L. J.; Berk, H. L. [Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712 (United States)] [Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712 (United States)
2014-01-15T23:59:59.000Z
In order to study the leading order nonlinear magneto-hydrodynamic (MHD) harmonic response of a plasma in realistic geometry, the AEGIS code has been generalized to account for inhomogeneous source terms. These source terms are expressed in terms of the quadratic corrections that depend on the functional form of a linear MHD eigenmode, such as the Toroidal Alfvén Eigenmode. The solution of the resultant equation gives the second order harmonic response. Preliminary results are presented here.
Nonlinear compressions in merging plasma jets
Messer, S.; Case, A.; Wu, L.; Brockington, S.; Witherspoon, F. D. [HyperV Technologies Corp., Chantilly, Virginia 20151 (United States)
2013-03-15T23:59:59.000Z
We investigate the dynamics of merging supersonic plasma jets using an analytic model. The merging structures exhibit supersonic, nonlinear compressions which may steepen into full shocks. We estimate the distance necessary to form such shocks and the resulting jump conditions. These theoretical models are compared to experimental observations and simulated dynamics. We also use those models to extrapolate behavior of the jet-merging compressions in a Plasma Jet Magneto-Inertial Fusion reactor.
Completeness is Unnecessary for Fast Nonlinear Quantum Search
David A. Meyer; Thomas G. Wong
2015-02-22T23:59:59.000Z
Although strongly regular graphs and the hypercube are not complete, they are "sufficiently complete" such that a randomly walking quantum particle asymptotically searches on them in the same $\\Theta(\\sqrt{N})$ time as on the complete graph, the latter of which is precisely Grover's algorithm. We show that physically realistic nonlinearities of the form $f(|\\psi|^2)\\psi$ can speed up search on sufficiently complete graphs, depending on the nonlinearity and graph. Thus nonlinear (quantum) computation can retain its power even when a degree of noncompleteness is introduced.
Spatiotemporal electromagnetic soliton and spatial ring formation in nonlinear metamaterials
Zhang Jinggui; Wen Shuangchun; Xiang Yuanjiang; Wang Youwen; Luo Hailu [Key Laboratory for Micro/Nano Optoelectronic Devices of Ministry of Education, School of Computer and Communication, Hunan University, Changsha 410082 (China)
2010-02-15T23:59:59.000Z
We present a systematic investigation of ultrashort electromagnetic pulse propagation in metamaterials (MMs) with simultaneous cubic electric and magnetic nonlinearity. We predict that spatiotemporal electromagnetic solitons may exist in the positive-index region of a MM with focusing nonlinearity and anomalous group velocity dispersion (GVD), as well as in the negative-index region of the MM with defocusing nonlinearity and normal GVD. The experimental circumstances for generating and manipulating spatiotemporal electromagnetic solitons can be created by elaborating appropriate MMs. In addition, we find that, in the negative-index region of a MM, a spatial ring may be formed as the electromagnetic pulse propagates for focusing nonlinearity and anomalous GVD; while the phenomenon of temporal splitting of the electromagnetic pulse may appear for the same case except for the defocusing nonlinearity. Finally, we demonstrate that the nonlinear magnetization makes the sign of effective electric nonlinear effect switchable due to the combined action of electric and magnetic nonlinearity, exerting a significant influence on the propagation of electromagnetic pulses.
An investigation into methods of solution for nonlinear structural problems
Henkel, Edwin Eugene
1973-01-01T23:59:59.000Z
integration. The methods of Runge-Kutta are tested on a one degree of freedom system. These methods are then modified to avoid excessive updating of the nonlinear stiffness matrix. The results are discussed and presented in graphical form. ACKNOWLEDGEMENT... V-12 Comparison of First Order Self-Correcting Method to the Modified Classical Runge-Kutta Method, AP=llb. 67 Comparison of Three Methods, Updating the Nonlinear Stiffness Matrix Every 100 Load Increments. V-14 Effect of Application...
Tunable nonlinear graphene metasurfaces
Smirnova, Daria A; Kivshar, Yuri S; Khanikaev, Alexander B
2015-01-01T23:59:59.000Z
We introduce the concept of nonlinear graphene metasurfaces employing the controllable interaction between a graphene layer and a planar metamaterial. Such hybrid metasurfaces support two types of subradiant resonant modes, asymmetric modes of structured metamaterial elements ("metamolecules") and graphene plasmons exhibiting strong mutual coupling and avoided dispersion crossing. High tunability of graphene plasmons facilitates strong interaction between the subradiant modes, modifying the spectral position and lifetime of the associated Fano resonances. We demonstrate that strong resonant interaction, combined with the subwavelength localization of plasmons, leads to the enhanced nonlinear response and high efficiency of the second-harmonic generation.
Nonlinear estimation of water network demands form limited measurement information
Rabie, Ahmed Ibrahim El Said
2009-05-15T23:59:59.000Z
such as the requirement to meet the new dynamic regulations in the Safe Drinking Water Act and the Clean Water Act. This includes providing sufficient capacity to satisfy uncertain and changing water demands, maintaining consistent water quality, and identifying...
Nonlinear estimation of water network demands form limited measurement information
Rabie, Ahmed Ibrahim El Said
2009-05-15T23:59:59.000Z
the simulator EPANET using 3 case studies. In the second phase, the estimation formulation was tested using the same 3 case studies with different sensor configurations. In each of the case studies, estimation results are reasonable with fewer sensors than...
Some Nonlinear Optimal Control Problems with Closed-Form Solutions
Margaliot, Michael
and robustness. Linear-quadratic optimal control systems have favorable gain and phase margins and reduced sensitivity [1]. Similar robustness properties hold also for non- linear control systems that are optimal-loop system. Unfortunately, the design of optimal controllers is generally very diÆcult because it requires
Universal nonlinear entanglement witnesses
Kotowski, Marcin; Kotowski, Michal [College of Inter-Faculty Individual Studies in Mathematics and Natural Sciences, Warsaw University, PL-Warszawa (Poland); Center for Theoretical Physics, Polish Academy of Sciences, Aleja Lotnikow 32/44, PL-02-668 Warszawa (Poland); Kus, Marek [Center for Theoretical Physics, Polish Academy of Sciences, Aleja Lotnikow 32/44, PL-02-668 Warszawa (Poland)
2010-06-15T23:59:59.000Z
We give a universal recipe for constructing nonlinear entanglement witnesses able to detect nonclassical correlations in arbitrary systems of distinguishable and/or identical particles for an arbitrary number of constituents. The constructed witnesses are expressed in terms of expectation values of observables. As such, they are, at least in principle, measurable in experiments.
Variable nonlinear resistances
Howard, James Edgar
1955-01-01T23:59:59.000Z
or another. " An 1mportant characterist1c 1n a nonlinear resistor 1s that the res1stor may be varied in linear constant and exponential constant. The resistor must vary exponentially with current I in the following relation- ship R = KI . K is the linea...
Intramolecular and nonlinear dynamics
Davis, M.J. [Argonne National Laboratory, IL (United States)
1993-12-01T23:59:59.000Z
Research in this program focuses on three interconnected areas. The first involves the study of intramolecular dynamics, particularly of highly excited systems. The second area involves the use of nonlinear dynamics as a tool for the study of molecular dynamics and complex kinetics. The third area is the study of the classical/quantum correspondence for highly excited systems, particularly systems exhibiting classical chaos.
ARTICLE IN PRESS Nonlinear Analysis ( )
47J25 47J35 Keywords: Nonlinear inequality Dynamical systems method (DSM) Stability a b s t r a c to this inequality is obtained. This inequality is of interest in a study of dynamical systems and nonlinear in a study of the Dynamical Systems Method (DSM) for solving nonlinear equations of the type F(u) = f , where
Optical Theorem in Nonlinear Media
Li, Wei
2015-01-01T23:59:59.000Z
We consider the optical theorem for scattering of electromagnetic waves in nonlinear media. This result is used to obtain the power extinguished from a field by a nonlinear scatterer. The cases of second harmonic generation and the Kerr effect are studied in some detail. Applications to nonlinear apertureless scanning near-field optical microscopy are considered.
Nonlinear chemical dynamics Francesc Sagusa
Epstein, Irving R.
Nonlinear chemical dynamics Francesc Saguésa and Irving R. Epsteinb a Departament de Química Física March 2003 The interdisciplinary field of nonlinear chemical dynamics has grown significantly in breadth an overview of some of the key results of nonlinear chemical dynamics, with emphasis on those areas most
Nonlinear regression Gordon K. Smyth
Smyth, Gordon K.
Nonlinear regression Gordon K. Smyth Volume 3, pp 14051411 in Encyclopedia of Environmetrics (ISBN, 2002 #12;Nonlinear regression The basic idea of nonlinear regression is the same as that of linear regression, namely to relate a response Y to a vector of predictor variables x D x1, . . . , xk T (see Linear
Coupled Oscillator Model for Nonlinear Gravitational Perturbations
Huan Yang; Fan Zhang; Stephen R. Green; Luis Lehner
2015-04-07T23:59:59.000Z
Motivated by the gravity/fluid correspondence, we introduce a new method for characterizing nonlinear gravitational interactions. Namely we map the nonlinear perturbative form of the Einstein equation to the equations of motion of a collection of nonlinearly-coupled harmonic oscillators. These oscillators correspond to the quasinormal or normal modes of the background spacetime. We demonstrate the mechanics and the utility of this formalism within the context of perturbed asymptotically anti-de Sitter black brane spacetimes. We confirm in this case that the boundary fluid dynamics are equivalent to those of the hydrodynamic quasinormal modes of the bulk spacetime. We expect this formalism to remain valid in more general spacetimes, including those without a fluid dual. In other words, although borne out of the gravity/fluid correspondence, the formalism is fully independent and it has a much wider range of applicability. In particular, as this formalism inspires an especially transparent physical intuition, we expect its introduction to simplify the often highly technical analytical exploration of nonlinear gravitational dynamics.
Poniz, Philip
1976-01-01T23:59:59.000Z
~ . . . , e )u A . . . A u REMARK 4. 16. Since there are pk) possibilities to chose among n ele- ments the set of k distinct elements the dimension of the space Ak(R ;R) equals (&) for nk k 26 CHAPTER V DIFFERENTIAL FORMS ? INTRODUCTION AND DEFINITION... v(x) (41, . . . , 4k 1) (m (x) (g )) (62, . . . , 4k I) (7. 1) Since (m (x))(4 ) c A (E;F) Theorem 4. 1. ). it follows that v(x) t Al k(Ei ) ~ ( We now introduce the mapping dm:U ~ A + (E;F) defined as follows: dw(x) = v(x) = Esgn(p)pv(x). Pt...
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AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports(Journal Article) | SciTech Connect Journal Article: X-rayContract Documents PPPLHighlyResearch CenterDenverJLF Forms JLF Target Fab
Shen, Y.R.; Chen, C.K.; de Castro, A.R.B.
1980-01-01T23:59:59.000Z
Surface electromagnetic waves are waves propagating along the interface of two media. Their existence was predicted by Sommerfield in 1909. In recent years, interesting applications have been found in the study of overlayers and molecular adsorption on surfaces, in probing of phase transitions, and in measurements of refractive indices. In the laboratory, the nonlinear interaction of surface electromagnetic waves were studied. The preliminary results of this recent venture in this area are presented.
Normal form approach for dispersive equations with low-regularity data
Oh, Seungly
2012-01-01T23:59:59.000Z
In this dissertation, we examine applications of the normal form technique to nonlinear dispersive equations with rough initial data. Working within the framework of Bourgain spaces, the normal form method often produces ...
2001, Applied Statistics, 50, 143-154. Nonlinear autoregressive time series with multivariate
Glasbey, Chris
2001, Applied Statistics, 50, 143-154. Nonlinear autoregressive time series with multivariate's Buildings, Edinburgh, EH9 3JZ, Scotland July 27, 2000 Abstract A new form of nonlinear autoregressive time to be multivariate Gaussian mixtures. The model is also a type of multiprocess dynamic linear model
Soliton generation in active nonlinear metamaterials Alexander B. Kozyrev,1,2
Soliton generation in active nonlinear metamaterials Alexander B. Kozyrev,1,2 Ilya V. Shadrivov,1 generation in nonlinear active metamaterials. Our meta-structure consists of a ring resonator formed dynamics, including the generation of envelope solitons being realized only for the backward-wave regime
Nonlinear elastodynamics and energy transport in biopolymers
Radha Balakrishnan; Rossen Dandoloff
2003-04-30T23:59:59.000Z
We present an exact analysis of the intrinsic dynamics of two types of biopolymers, described by the wormlike chain (WLC) and the wormlike rod chain (WLRC) models, respectively. We map each model to a classical field theory for an appropriate unit vector field defined on the space curve formed by the axis of the biopolymer. Conformation dynamics and energy transport are shown to be described, respectively, by the soliton-bearing Landau-Lifshitz equation and the nonlinear Schr\\"odinger equation. This enables us to identify the soliton representing the ``conformon'' hypothesized in biopolymers.
Nonlinear simulations to optimize magnetic nanoparticle hyperthermia
Reeves, Daniel B., E-mail: dbr@Dartmouth.edu; Weaver, John B. [Department of Physics and Astronomy, Dartmouth College, Hanover, New Hampshire 03755 (United States)
2014-03-10T23:59:59.000Z
Magnetic nanoparticle hyperthermia is an attractive emerging cancer treatment, but the acting microscopic energy deposition mechanisms are not well understood and optimization suffers. We describe several approximate forms for the characteristic time of Néel rotations with varying properties and external influences. We then present stochastic simulations that show agreement between the approximate expressions and the micromagnetic model. The simulations show nonlinear imaginary responses and associated relaxational hysteresis due to the field and frequency dependencies of the magnetization. This suggests that efficient heating is possible by matching fields to particles instead of resorting to maximizing the power of the applied magnetic fields.
Topological horseshoes in travelling waves of discretized nonlinear wave equations
Chen, Yi-Chiuan, E-mail: YCChen@math.sinica.edu.tw [Institute of Mathematics, Academia Sinica, Taipei 10617, Taiwan (China)] [Institute of Mathematics, Academia Sinica, Taipei 10617, Taiwan (China); Chen, Shyan-Shiou, E-mail: sschen@ntnu.edu.tw [Department of Mathematics, National Taiwan Normal University, Taipei 11677, Taiwan (China)] [Department of Mathematics, National Taiwan Normal University, Taipei 11677, Taiwan (China); Yuan, Juan-Ming, E-mail: jmyuan@pu.edu.tw [Department of Financial and Computational Mathematics, Providence University, Shalu, Taichung 43301, Taiwan (China)] [Department of Financial and Computational Mathematics, Providence University, Shalu, Taichung 43301, Taiwan (China)
2014-04-15T23:59:59.000Z
Applying the concept of anti-integrable limit to coupled map lattices originated from space-time discretized nonlinear wave equations, we show that there exist topological horseshoes in the phase space formed by the initial states of travelling wave solutions. In particular, the coupled map lattices display spatio-temporal chaos on the horseshoes.
Goulielmakis, E.; Max-Planck-Institut fur Quantenoptik
2008-01-01T23:59:59.000Z
g l e - C y c l e Nonlinear Optics E. G o u l i e l m a k iSingle-Cycle Nonlinear Optics E. Goulielmakis *, M.D-85748 Garching. Center for X-Ray Optics, Lawrence Berkeley
The Mathematics of Nonlinear Optics
MÃ©tivier, Guy
The Mathematics of Nonlinear Optics Guy MÂ´etivier March 7, 2009 Contents 1 Introduction 4 2 Examples of equations arising in nonlinear optics 11 3 The framework of hyperbolic systems 18 3.1 Equations Optics 49 5.1 Linear geometric optics . . . . . . . . . . . . . . . . . . . . . . . . . 49 5
Nonlinear friction in quantum mechanics
Roumen Tsekov
2013-03-10T23:59:59.000Z
The effect of nonlinear friction forces in quantum mechanics is studied via dissipative Madelung hydrodynamics. A new thermo-quantum diffusion equation is derived, which is solved for the particular case of quantum Brownian motion with a cubic friction. It is extended also by a chemical reaction term to describe quantum reaction-diffusion systems with nonlinear friction as well.
Nonlinear arcsin-electrodynamics
S. I. Kruglov
2015-03-21T23:59:59.000Z
A new model of nonlinear electrodynamics with three parameters is suggested and investigated. It is shown that if the external constant magnetic field presents the phenomenon of vacuum birefringence takes place. The indexes of refraction for two polarizations of electromagnetic waves, parallel and perpendicular to the magnetic induction field are calculated. The electric field of a point-like charge is not singular at the origin and the static electric energy is finite. We have calculated the static electric energy of point-like particles for different parameters of the model. The canonical and symmetrical Belinfante energy-momentum tensors and dilatation current are obtained. We demonstrate that the dilatation symmetry and dual symmetry are broken in the model suggested.
Nonlinear characterization of a single-axis acoustic levitator
Andrade, Marco A. B. [Institute of Physics, University of São Paulo, São Paulo (Brazil)] [Institute of Physics, University of São Paulo, São Paulo (Brazil); Ramos, Tiago S.; Okina, Fábio T. A.; Adamowski, Julio C. [Department of Mechatronics and Mechanical Systems Engineering, Escola Politécnica, University of São Paulo, São Paulo (Brazil)] [Department of Mechatronics and Mechanical Systems Engineering, Escola Politécnica, University of São Paulo, São Paulo (Brazil)
2014-04-15T23:59:59.000Z
The nonlinear behavior of a 20.3 kHz single-axis acoustic levitator formed by a Langevin transducer with a concave radiating surface and a concave reflector is experimentally investigated. In this study, a laser Doppler vibrometer is applied to measure the nonlinear sound field in the air gap between the transducer and the reflector. Additionally, an electronic balance is used in the measurement of the acoustic radiation force on the reflector as a function of the distance between the transducer and the reflector. The experimental results show some effects that cannot be described by the linear acoustic theory, such as the jump phenomenon, harmonic generation, and the hysteresis effect. The influence of these nonlinear effects on the acoustic levitation of small particles is discussed.
Nonlinear and distributed sensory estimation
Sugathevan, Suranthiran
2005-08-29T23:59:59.000Z
Methods to improve performance of sensors with regard to sensor nonlinearity, sensor noise and sensor bandwidths are investigated and new algorithms are developed. The necessity of the proposed research has evolved from the ever-increasing need...
Dmitriy Palatnik
2005-08-12T23:59:59.000Z
Suggested modification of the Einstein-Maxwell system, such that Maxwell equations become non-gauge and nonlinear. The theory is based on assumption that observable (i.e., felt by particles) metric is $ {\\tilde{g}}_{ab} = g_{ab} - l^2{A}_a{A}_b$, where $g_{ab}$ is metric (found from Einstein equations), $A_a$ is electromagnetic potential, and $l$ is fundamental constant of the theory. Specific model of the mass and charge densities of a fundamental particle is considered. As a result, one obtains solutions corresponding to quantized electrical charge with spectrum $q_{n} = {{2n}\\over3}e$ and $q'_{n} = -{(2n+1)\\over3}e$, where $n = 0, 1, 2, ...$ Theory predicts Coulomb interaction between electrical charges and masses. Namely, if ($m, e$) and ($m',e'$) describe masses and electrical charges of two particles respectively, then energy of interaction (in non-relativistic limit) is $V(r) = [ee' - kmm' - \\sqrt k(em' + e'm)]/r$. It follows, then, that the Earth's mass, $M_E$, contributes negative electrical charge, $Q_E = - \\sqrt k M_E$, which explains why primary cosmic rays consist mainly of positively charged particles. One may attribute the fairweather electric field at the Earth's surface to the charge $Q_E$.
Epstein, Irving R.
FOCUS ISSUE: Nonlinear dynamics related to polymeric systems Overview: Nonlinear dynamics related is another promising practical application of nonlinear chemical dynamics. In this issue we focus on non is known about nonlinear phenom- ena in polymeric systems. One reason for the lack of interest in nonlinear
Occ Med open house/tailgate | The Ames Laboratory
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AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5(Million Cubic Feet) Oregon (Including Vehicle Fuel) (Million Cubic Feet) Natural GasSpeedingScientificPhase in AxFe2-ySe2Aerosoland
Foundations of nonlinear gyrokinetic theory
Brizard, A. J.; Hahm, T. S. [Department of Chemistry and Physics, Saint Michael's College, Colchester, Vermont 05439 (United States); Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08543 (United States)
2007-04-15T23:59:59.000Z
Nonlinear gyrokinetic equations play a fundamental role in our understanding of the long-time behavior of strongly magnetized plasmas. The foundations of modern nonlinear gyrokinetic theory are based on three pillars: (i) a gyrokinetic Vlasov equation written in terms of a gyrocenter Hamiltonian with quadratic low-frequency ponderomotivelike terms, (ii) a set of gyrokinetic Maxwell (Poisson-Ampere) equations written in terms of the gyrocenter Vlasov distribution that contain low-frequency polarization (Poisson) and magnetization (Ampere) terms, and (iii) an exact energy conservation law for the gyrokinetic Vlasov-Maxwell equations that includes all the relevant linear and nonlinear coupling terms. The foundations of nonlinear gyrokinetic theory are reviewed with an emphasis on rigorous application of Lagrangian and Hamiltonian Lie-transform perturbation methods in the variational derivation of nonlinear gyrokinetic Vlasov-Maxwell equations. The physical motivations and applications of the nonlinear gyrokinetic equations that describe the turbulent evolution of low-frequency electromagnetic fluctuations in a nonuniform magnetized plasmas with arbitrary magnetic geometry are discussed.
Quantum Dynamics of Nonlinear Cavity Systems
Paul D. Nation
2010-09-16T23:59:59.000Z
We investigate the quantum dynamics of three different configurations of nonlinear cavity systems. To begin, we carry out a quantum analysis of a dc superconducting quantum interference device (SQUID) mechanical displacement detector comprised of a SQUID with a mechanically compliant loop segment. The SQUID is approximated by a nonlinear current-dependent inductor, inducing a flux tunable nonlinear Duffing term in the cavity equation of motion. Expressions are derived for the detector signal and noise response where it is found that a soft-spring Duffing self-interaction enables a closer approach to the displacement detection standard quantum limit, as well as cooling closer to the ground state. Next, we make use of a superconducting transmission line formed from an array of dc-SQUIDs for investigating analogue Hawking radiation. Biasing the array with a space-time varying flux modifies the propagation velocity of the transmission line, leading to an effective metric with a horizon. This setup allows for quantum effects such as backreaction and analogue space-time fluctuations on the Hawking process. Finally, we look at a quantum parametric amplifier with dynamical pump mode, viewed as a zero-dimensional model of Hawking radiation from an evaporating black hole. The conditions are derived under which the spectrum of particles generated from vacuum fluctuations deviates from the thermal spectrum predicted for the conventional parametric amplifier. We find that significant deviation occurs once the pump mode (black hole) has released nearly half of its initial energy in the signal (Hawking radiation) and idler (in-falling particle) modes. As a model of black hole dynamics, this finding lends support to the view that late-time Hawking radiation contains information about the quantum state of the black hole and is entangled with the black hole's quantum gravitational degrees of freedom.
Non-linear power spectra in the synchronous gauge
Jai-chan Hwang; Hyerim Noh; Donghui Jeong; Jinn-Ouk Gong; Sang Gyu Biern
2014-08-20T23:59:59.000Z
We study the non-linear corrections to the matter and velocity power spectra in the synchronous gauge (SG). We consider the perturbations up to third order in a zero-pressure fluid in flat cosmological background, which is relevant for the non-linear growth of cosmic structure. As a result, we point out that the SG is an inappropriate coordinate choice when handling the non-linear growth of the large-scale structure. Although the equations in the SG happen to coincide with those in the comoving gauge (CG) to linear order, they differ from second order. In particular, the second order hydrodynamic equations in the the SG are apparently in the Lagrangian form, whereas those in the CG are in the Eulerian form. Thus, the non-linear power spectra naively presented in the original SG show strange behavior quite different from the result of the Newtonian theory even on sub-horizon scales. The power spectra in the SG show regularized behaviors only after we introduce convective terms in the second order so that the equations in two gauges coincide to the second order.
Nonlinear continuous feedback controllers
Sitharaman, Sai Ganesh
2004-09-30T23:59:59.000Z
scheme introduced by Kelly [6] that has known useful properties including smoother non-oscillatory convergence (theoretic convergence), fairness towards similar flows and existence of globally stable operating point. Proportional... and their applicability to the current Internet. The general form of Kelly?s source rate differential equation studied in [6] can be written as shown in the equation (4) below. For any user k, the rate differential equation 6 KDV D FRQVWDQW DGGLWLYH...
IIA/IIB Supergravity and Ten-forms
E. A. Bergshoeff; J. Hartong; P. S. Howe; T. Ortin; F. Riccioni
2010-04-08T23:59:59.000Z
We perform a careful investigation of which p-form fields can be introduced consistently with the supersymmetry algebra of IIA and/or IIB ten-dimensional supergravity. In particular the ten-forms, also known as "top-forms", require a careful analysis since in this case, as we will show, closure of the supersymmetry algebra at the linear level does not imply closure at the non-linear level. Consequently, some of the (IIA and IIB) ten-form potentials introduced in earlier work of some of us are discarded. At the same time we show that new ten-form potentials, consistent with the full non-linear supersymmetry algebra can be introduced. We give a superspace explanation of our work. All of our results are precisely in line with the predictions of the E(11) algebra.
Parameter and state estimation in nonlinear dynamical systems
Creveling, Daniel R.
2008-01-01T23:59:59.000Z
and J. Kurths. Nonlinear dynamical system identi?ca- tionEstimation In Nonlinear Dynamical Systems A dissertationState Estimation In Nonlinear Dynamical Systems by Daniel R.
Block-oriented nonlinear system identification using semidenite programming
Han, Younghee
2012-01-01T23:59:59.000Z
repre- sents a nonlinear dynamical system as a combinationlinear dynamical system and the static nonlinear functionunknown linear dynamical systems G(q) and a static nonlinear
Nonlinear Time Domain Modeling and Simulation of Surface and...
Office of Environmental Management (EM)
Nonlinear Time Domain Modeling and Simulation of Surface and Embedded NPPS Nonlinear Time Domain Modeling and Simulation of Surface and Embedded NPPS Nonlinear Time Domain Modeling...
Non-Linear Seismic Soil Structure Interaction (SSI) Method for...
Office of Environmental Management (EM)
Non-Linear Seismic Soil Structure Interaction (SSI) Method for Developing Non-Linear Seismic SSI Analysis Techniques Non-Linear Seismic Soil Structure Interaction (SSI) Method for...
Zhou Gang; Michael Weinstein
2008-11-03T23:59:59.000Z
Nonlinear Schrodinger / Gross-Pitaevskii equations play a central role in the understanding of nonlinear optical and macroscopic quantum systems. The large time dynamics of such systems is governed by interactions of the nonlinear ground state manifold, discrete neutral modes (``excited states'') and dispersive radiation. Systems with symmetry, in spatial dimensions larger than one, typically have degenerate neutral modes. Thus, we study the large time dynamics of systems with degenerate neutral modes. This requires a new normal form (nonlinear matrix Fermi Golden Rule) governing the system's large time asymptotic relaxation to the ground state (soliton) manifold.
Mandal, Debraj; Sharma, Devendra [Institute for Plasma Research, Bhat, Gandhinagar 382428 (India)
2014-10-15T23:59:59.000Z
The finite amplitude ion acoustic waves that trap electrons modify the structure of the evolving nonlinear soliton solutions. In the numerical simulations, self-consistently generated solitary waves are studied that emerge as a result of a current driven microinstability growing the ion acoustic mode in a collisionless Vlasov plasma. The growth saturates as a result of nonlinear effects governed by a combination of nonlinearities originating from the hydrodynamic model and kinetic particle trapping effects. The resulting solitary waves also coexist with a finite current and an electron plasma wave capable of perturbing the trapping potential. The results of multiscale simulation are analyzed and characterized following the kinetic prescription of undamped trapped particle mode in the form of phase space vortex solutions that are generalized form of Sagdeev's solitons and obey the solutions of a modified Korteweg-de Vries equation, accounting for a stronger nonlinearity originating from the electron trapping.
Time Displaced Entanglement and Non-Linear Quantum Evolution
T. C. Ralph
2005-10-06T23:59:59.000Z
We discuss time displaced entanglement, produced by taking one member of a Bell pair on a round trip at relativistic speeds, thus inducing a time-shift between the pair. We show that decoherence with respect to Bell measurements on the pair is predicted. We then study a teleportation protocol, using time displaced entanglement as its resource, in which a time-like loop is apparently formed. The result is non-unitary, non-linear evolution of the teleported state.
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OFFSITE USE FORM Fill form out in triplicate, send original to Property Control, ms 85A, give a copy to the Gate Guard and keep a copy for your files. This form needs to be...
Nonlinear Processes in Geophysics (2002) 9: 497512 Nonlinear Processes
Paris-Sud XI, Université de
2002-01-01T23:59:59.000Z
function de- scribing the balance of energy for waves under consideration and U(x, t) is the local wind de Pesquisas Espaciais (INPE), CPTEC/INPE, Cachoeira Paulista, SP, 12630-000, Brazil *permanent. To evaluate a quality of any approxima- tion for the 2-D nonlinear energy transfer, a mathematical measure
TECHNICAL NOTES Closed-Form Stiffness Matrix for the Four-Node
Vecchio, Frank J.
-form stiffness matrices in finite-element analysis has long been recognized, while the con- ventional numerical presents closed-form finite-element stiffness formulations for the four-node quadrilateral element and prestrain effects, the developed closed-form element stiffness can be incorporated into a nonlinear finite-element
Developments and advances in nonlinear terahertz spectroscopy
Brandt, Nathaniel Curran
2014-01-01T23:59:59.000Z
Nonlinear terahertz (THz) spectroscopy is a rapidly developing field, which is concerned with driving and observing nonlinear material responses in the THz range of the electromagnetic spectrum. In this thesis, I present ...
Mathematics 658 Nonlinear Dynamics and Geometic Mechanics
Bloch, Anthony
Mathematics 658 Nonlinear Dynamics and Geometic Mechanics Instructor: Anthony M. Bloch. Office of ordinary differential equations and dynamical systems, with applications to various mechanical and physical geometry, nonlinear stability theory, Lagrangian and Hamiltonian mechanics, integrable systems, reduction
Optimization Online - Nonlinear Optimization Submissions - 2013
Nonlinear Optimization Submissions - 2013. January 2013. A Framework of Constraint Preserving Update Schemes for Optimization on Stiefel Manifold
Optimization Online - Nonlinear Optimization Submissions - 2012
Nonlinear Optimization Submissions - 2012. January 2012. Systems governed by Differential Equations Optimization Squeeze-and-Breathe Evolutionary Monte ...
Nonlinear Michelson interferometer for improved quantum metrology
Alfredo Luis; Ángel Rivas
2015-04-21T23:59:59.000Z
We examine nonlinear quantum detection via a Michelson interferometer embedded in a gas with Kerr nonlinearity. The interferometer is illuminated by pulses of classical light. This strategy combines the robustness against practical imperfections of classical light with the improvement provided by nonlinear detection. Regarding ultimate quantum limits, we stress that, as a difference with linear schemes, the nonlinearity introduces pulse duration as a new variable into play along with the energy resources.
Ã¥ Risa-R-411 Nonlinear Finite Element Analysis of Concrete Structures Niels Saabye Ottosen RisÃ¸ | other IAEA P. 0. Box 100 A-1400, Vienna, Austria #12;RISÃ?-R-411 NONLINEAR FINITE ELEMENT ANALYSIS OF CONCRETE STRUCTURES Niels Saabye Ottosen Abstract. This report deals with nonlinear finite element analy
LANGUAGE LEARNING AND NONLINEAR DYNAMICAL SYSTEMS
Andrews, Mark W.
LANGUAGE LEARNING AND NONLINEAR DYNAMICAL SYSTEMS A Dissertation Presented to the Faculty LEARNING AND NONLINEAR DYNAMICAL SYSTEMS Mark William Andrews, Ph.D. Cornell University 2003 The thesis be provided by an better appreciation of the capacities of nonlinear dynamical systems to learn, rep- resent
APPENDIX A: Forms and Instructions Form Form R93D-44 Form R93D...
U.S. Energy Information Administration (EIA) Indexed Site
.... Mid-Year Coding Form ... Coding and Data Entry Control Card ... Mid-Year Keying Instructions ......
Condition assessment of nonlinear processes
Hively, Lee M. (Philadelphia, TN); Gailey, Paul C. (Athens, OH); Protopopescu, Vladimir A. (Knoxville, TN)
2002-01-01T23:59:59.000Z
There is presented a reliable technique for measuring condition change in nonlinear data such as brain waves. The nonlinear data is filtered and discretized into windowed data sets. The system dynamics within each data set is represented by a sequence of connected phase-space points, and for each data set a distribution function is derived. New metrics are introduced that evaluate the distance between distribution functions. The metrics are properly renormalized to provide robust and sensitive relative measures of condition change. As an example, these measures can be used on EEG data, to provide timely discrimination between normal, preseizure, seizure, and post-seizure states in epileptic patients. Apparatus utilizing hardware or software to perform the method and provide an indicative output is also disclosed.
Nonlinear effects in kinetic resolutions
Johnson, Derrell W.
1999-01-01T23:59:59.000Z
~TRIC AMPLIFICATION IN THE JACOBSEN HKR: THE POSSIBLE ITERATIVE ENHANCE~ OF OPTICAL ACTIVITY 35 Using Jacobsen HKR Nonlinear Effects to Demonstrate the Potendal Generation of Optical Activity from "Racemic" Styrene Oxide The Synthetic Conversion of Styrene Oxide... to 1-Phenyl-1, 2-Diaminoethane. Generation of 10% ee S-2 from 10% ee (S)-1-Phenyl-1, 2-Diaminoethane Optimized Amplification Condidons and Degree of Amplification for HKR Reactions with Styrene Oxide and 10% ee S-2. 37 39 43 VI CONCLUSIONS VII...
McInnis, Martha Jane
1982-01-01T23:59:59.000Z
Physical manifestations of time occur in natural forms of all sizes. Architectural form serves as shelter while providing a built envelope of human life, simultaneously influencing and influenced by energetic activities ...
The extreme nonlinear optics of gases and femtosecond optical filamentation
Milchberg, H. M.; Chen, Y.-H.; Cheng, Y.-H.; Jhajj, N.; Palastro, J. P.; Rosenthal, E. W.; Varma, S.; Wahlstrand, J. K.; Zahedpour, S. [Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, Maryland 20742 (United States)
2014-10-15T23:59:59.000Z
Under certain conditions, powerful ultrashort laser pulses can form greatly extended, propagating filaments of concentrated high intensity in gases, leaving behind a very long trail of plasma. Such filaments can be much longer than the longitudinal scale over which a laser beam typically diverges by diffraction, with possible applications ranging from laser-guided electrical discharges to high power laser propagation in the atmosphere. Understanding in detail the microscopic processes leading to filamentation requires ultrafast measurements of the strong field nonlinear response of gas phase atoms and molecules, including absolute measurements of nonlinear laser-induced polarization and high field ionization. Such measurements enable the assessment of filamentation models and make possible the design of experiments pursuing applications. In this paper, we review filamentation in gases and some applications, and discuss results from diagnostics developed at Maryland for ultrafast measurements of laser-gas interactions.
Dynamics of nonlinear excitations of helically confined charges
Zampetaki, A V; Schmelcher, P
2015-01-01T23:59:59.000Z
We explore the long-time dynamics of a system of identical charged particles trapped on a closed helix. This system has recently been found to exhibit an unconventional deformation of the linear spectrum when tuning the helix radius. Here we show that the same geometrical parameter can affect significantly also the dynamical behaviour of an initially broad excitation for long times. In particular, for small values of the radius, the excitation disperses into the whole crystal whereas within a specific narrow regime of larger radii the excitation self-focuses, assuming finally a localized form. Beyond this regime, the excitation defocuses and the dispersion gradually increases again. We analyze this geometrically controlled nonlinear behaviour using an effective discrete nonlinear Schr\\"{o}dinger model, which allows us among others to identify a number of breather-like excitations.
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Entropic and information inequality for nonlinearly transformed two-qubit X-states
V. I. Man'ko; R. S. Puzko
2014-10-11T23:59:59.000Z
The entropic and information inequalities for two qubit X-states transformed by the nonlinear channels are given in explicit form. The subadditivity condition and nonnegativity of von Neumann quantum information are studied for both initial X-state and the state after action of the nonlinear channel. Partial case of Werner state is considered in detail. We shown that the von Neumann information increases due to action of the nonlinear channel. We generalize the results obtained for Werner state in our earlier article [J. Russ. Laser Res., \\textbf{35}, iss. 3 (2014)] to the case of X-state of two qubit system. We study the influence of nonlinear channel acting on X-state of two qubit system onto von Neumann mutual information.
Ka?amajska, Agnieszka
2011-01-01T23:59:59.000Z
We derive inequality [\\int_{\\r} |f^{'}(x)|^ph(f(x))dx \\le (\\sqrt{p-1})^p\\int_{\\r}(\\sqrt{|f^{"}(x){\\cal T}_h(f(x))|})^ph(f(x))dx,] where $f$ belongs locally to Sobolev space $W^{2,1}$ and $f^{'}$ has bounded support. Here $h(...)$ is a given function and ${\\cal T}_h(...)$ is its given transform, it is independent of $p$. In case when $h\\equiv 1$ we retrieve the well known inequality: (\\int_{\\r} |f^{'}(x)|^pdx \\le (\\sqrt{p-1})^p \\int_{\\r}(\\sqrt{|f^{"}(x)f(x)|})^pdx.) Our inequalities have form similar to the classical second order Oppial inequalites. They also extend certain class of inequalities due to Mazya, used to obtain second order isoperimetric inequalities and capacitary estimates. We apply them to obtain new apriori estimates for nonlinear eigenvalue problems.
Branagan, Daniel J. (Iona, ID); Burch, Joseph V. (Shelley, ID)
2001-01-01T23:59:59.000Z
In one aspect, the invention encompasses a method of forming a steel. A metallic glass is formed and at least a portion of the glass is converted to a crystalline steel material having a nanocrystalline scale grain size. In another aspect, the invention encompasses another method of forming a steel. A molten alloy is formed and cooled the alloy at a rate which forms a metallic glass. The metallic glass is devitrified to convert the glass to a crystalline steel material having a nanocrystalline scale grain size. In yet another aspect, the invention encompasses another method of forming a steel. A first metallic glass steel substrate is provided, and a molten alloy is formed over the first metallic glass steel substrate to heat and devitrify at least some of the underlying metallic glass of the substrate.
Nonlinear Control of Delay and PDE Systems
Bekiaris-Liberis, Nikolaos
delay systems, IEEE Transactions on Automatic Control, 56 (lag systems, IEEE Transactions on Automatic Control, 31 (nonlinear systems, IEEE Transactions on Automatic Control,
Single-ion nonlinear mechanical oscillator
Akerman, N.; Kotler, S.; Glickman, Y.; Dallal, Y.; Keselman, A.; Ozeri, R. [Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100 (Israel)
2010-12-15T23:59:59.000Z
We study the steady-state motion of a single trapped ion oscillator driven to the nonlinear regime. Damping is achieved via Doppler laser cooling. The ion motion is found to be well described by the Duffing oscillator model with an additional nonlinear damping term. We demonstrate here the unique ability of tuning both the linear as well as the nonlinear damping coefficients by controlling the laser-cooling parameters. Our observations pave the way for the investigation of nonlinear dynamics on the quantum-to-classical interface as well as mechanical noise squeezing in laser-cooling dynamics.
Sandia National Laboratories: Careers: Special Programs: Nonlinear...
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Nonlinear Mechanics and Dynamics Summer Research Institute FEA modeling simulation A test specimen for measuring dissipation across a lap joint under different loading environments...
Engineering Giant Nonlinearities in Quantum Nanosystems
Kurt Jacobs; Andrew Landahl
2009-08-06T23:59:59.000Z
We describe a method to engineer giant nonlinearities in, and probes to measure nonlinear observables of, mesoscopic quantum resonators. This involves tailoring the Hamiltonian of a simple auxiliary system perturbatively coupled to the resonator, and has the potential to engineer a wide range of nonlinearities to high accuracy. We give a number of explicit examples, including a readily realizable two-qubit auxiliary system that creates an x^4 potential and a Chi^(3) (Kerr) nonlinearity, valid to fifth-order in the perturbative coupling.
Linear conic optimization for nonlinear optimal control
Didier Henrion
2014-07-07T23:59:59.000Z
Jul 7, 2014 ... Abstract: Infinite-dimensional linear conic formulations are described for nonlinear optimal control problems. The primal linear problem consists ...
Nonlinear conformation of secondary protein folding
Januar, M; Handoko, L T
2012-01-01T23:59:59.000Z
A model to describe the mechanism of conformational dynamics in secondary protein based on matter interactions is proposed. The approach deploys the lagrangian method by imposing certain symmetry breaking. The protein backbone is initially assumed to be nonlinear and represented by the Sine-Gordon equation, while the nonlinear external bosonic sources is represented by $\\phi^4$ interaction. It is argued that the nonlinear source induces the folding pathway in a different way than the previous work with initially linear backbone. Also, the nonlinearity of protein backbone decreases the folding speed.
Detonator comprising a nonlinear transmission line
Elizondo-Decanini, Juan M
2014-12-30T23:59:59.000Z
Detonators are described herein. In a general embodiment, the detonator includes a nonlinear transmission line that has a variable capacitance. Capacitance of the nonlinear transmission line is a function of voltage on the nonlinear transmission line. The nonlinear transmission line receives a voltage pulse from a voltage source and compresses the voltage pulse to generate a trigger signal. Compressing the voltage pulse includes increasing amplitude of the voltage pulse and decreasing length of the voltage pulse in time. An igniter receives the trigger signal and detonates an explosive responsive to receipt of the trigger signal.
Optimization Online - Nonlinear Model Predictive Control via ...
M. J. Tenny
2002-08-15T23:59:59.000Z
Aug 15, 2002 ... Nonlinear Model Predictive Control via Feasibility-Perturbed Sequential Quadratic Programming. M. J. Tenny (tenny ***at*** bevo.che.wisc.edu)
AN INDUCTION THEOREM AND NONLINEAR REGULARITY ...
2014-10-11T23:59:59.000Z
Federation University Australia (pqkhanhus@gmail.com). ‡Centre for ... majority of researchers focus on the particular case of “power nonlinearities” when µ.
Optimization Online - Nonlinear Optimization Submissions - 2015
Nonlinear Optimization Submissions - 2015. January 2015. On iteratively reweighted Algorithms for Non-smooth Non-convex Optimization in Computer Vision
On Test Sets for Nonlinear Integer Maximization
2008-02-05T23:59:59.000Z
On Test Sets for Nonlinear. Integer Maximization. July 2007; revised February 2008. Jon Leea, Shmuel Onnb, Robert Weismantelc a IBM T.J. Watson Research
Nonlinear and magic ponderomotive spectroscopy
Moore, Kaitlin
2015-01-01T23:59:59.000Z
In ponderomotive spectroscopy an amplitude-modulated optical standing wave is employed to probe Rydberg-atom transitions, utilizing a ponderomotive rather than a dipole-field interaction. Here, we engage nonlinearities in the modulation to drive dipole-forbidden transitions up to the fifth order. We reach transition frequencies approaching the sub-THz regime. We also demonstrate magic-wavelength conditions, which result in symmetric spectral lines with a Fourier-limited feature at the line center. Applicability to precision measurement is discussed.
Nonlinear structural crack growth monitoring
Welch, Donald E. (Oak Ridge, TN); Hively, Lee M. (Philadelphia, TN); Holdaway, Ray F. (Clinton, TN)
2002-01-01T23:59:59.000Z
A method and apparatus are provided for the detection, through nonlinear manipulation of data, of an indicator of imminent failure due to crack growth in structural elements. The method is a process of determining energy consumption due to crack growth and correlating the energy consumption with physical phenomena indicative of a failure event. The apparatus includes sensors for sensing physical data factors, processors or the like for computing a relationship between the physical data factors and phenomena indicative of the failure event, and apparatus for providing notification of the characteristics and extent of such phenomena.
A model of nonlinear electrodynamics
S. I. Kruglov
2014-12-02T23:59:59.000Z
A new model of nonlinear electrodynamics with two parameters is investigated. We also consider a model with one dimensional parameter. It was shown that the electric field of a point-like charge is not singular at the origin and there is the finiteness of the static electric energy of point-like charged particle. We obtain the canonical and symmetrical Belinfante energy-momentum tensors and dilatation currents. It is demonstrated that the dilatation symmetry and dual symmetry are broken in the models suggested. We have calculated the static electric energy of point-like particles.
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Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
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Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
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AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5(Million Cubic Feet) Oregon (Including Vehicle Fuel) (Million Cubic Feet) Natural Gas Delivered toNew6ALCATOR C-MODPlasmaof Dec. 31
Office of Energy Efficiency and Renewable Energy (EERE) Indexed Site
Partnership Agreement Form Learn more at energy.goveereamobetter-plants The Better Buildings, Better Plants Program is a national initiative to significantly improve energy...
Butcher, Eric A.
2005-01-01T23:59:59.000Z
Nonlinear Dynamics (2005) 41: 237273 c Springer 2005 Order Reduction of Parametrically Excited Nonlinear Systems: Techniques and Applications S. C. SINHA1, , SANGRAM REDKAR1 , VENKATESH DESHMUKH2 , and ERIC A. BUTCHER2 1Nonlinear Systems Research Laboratory, Department of Mechanical Engineering, Auburn
Ding-jiang Huang; Qin-min Yang; Shui-geng Zhou
2013-12-18T23:59:59.000Z
Reduction operators, i.e. the operators of nonclassical (or conditional) symmetry of a class of variable coefficient nonlinear wave equations with power nonlinearities is investigated within the framework of singular reduction operator. A classification of regular reduction operators is performedwith respect to generalized extended equivalence groups. Exact solutions of some nonlinear wave model which are invariant under certain reduction operators are also constructed.
Loop Quantum Theory Applied to Biology and Nonlinear Whole Biology
Yi-Fang Chang
2008-01-02T23:59:59.000Z
The loop quantum theory, which constitutes a very small discontinuous space, as new method is applied to biology. The model of protein folding and lungs is proposed. In the model, some known results are used, and four approximate conclusions are obtained: their structures are quantized, their space regions are finite, various singularities correspond to folding and crossed points, and different types of catastrophe exist. Further, based on the inseparability and correlativity of the biological systems, the nonlinear whole biology is proposed, and four basic hypotheses are formed. It may unify reductionism and holism, structuralism and functionalism. Finally, the medical meaning of the theory is discussed briefly.
Nonlinear Spectroscopy of Trapped Ions
Frank Schlawin; Manuel Gessner; Shaul Mukamel; Andreas Buchleitner
2014-10-07T23:59:59.000Z
Nonlinear spectroscopy employs a series of laser pulses to interrogate dynamics in large interacting many-body systems, and has become a highly successful method for experiments in chemical physics. Current quantum optical experiments approach system sizes and levels of complexity which require the development of efficient techniques to assess spectral and dynamical features with scalable experimental overhead. However, established methods from optical spectroscopy of macroscopic ensembles cannot be applied straightforwardly to few-atom systems. Based on the ideas proposed in [M. Gessner et al. New J. Phys. 16 092001 (2014)], we develop a diagrammatic approach to construct nonlinear measurement protocols for controlled quantum systems and discuss experimental implementations with trapped ion technology in detail. These methods in combination with distinct features of ultra-cold matter systems allow us to monitor and analyze excitation dynamics in both the electronic and vibrational degrees of freedom. They are independent of system size, and can therefore reliably probe systems where, e.g., quantum state tomography becomes prohibitively expensive. We propose signals that can probe steady state currents, detect the influence of anharmonicities on phonon transport, and identify signatures of chaotic dynamics near a quantum phase transition in an Ising-type spin chain.
Physica D 159 (2001) 2234 Energy dissipation in a nonlinearly damped Duffing oscillator
Rey Juan Carlos, Universidad
2001-01-01T23:59:59.000Z
forces may act on a system in the form of dry friction, such as Coulomb friction, which is typically damping (p = 1) and draglike friction (p = 2). A historical review of the applications of the Coulomb: Energy dissipation; Duffing oscillator; Nonlinear friction 1. Introduction The phenomenon of dissipation
Deshmukh, Venkatesh
Dynamical Systems Venkatesh Deshmukh Center for Nonlinear Dynamics and Control Department of Mechanical dynamic system models to be constructed from available data. The parameters to be estimated are assumed in the dynamic system models are assumed to have a known form, and the models are assumed to be parameter affine
AN UNCONDITIONALLY STABLE SPLITTING SCHEME FOR A CLASS OF NONLINEAR PARABOLIC EQUATIONS
that it is possible to identify what is thrown away as a residual ux term. Moreover, if this residual ux is taken and surface water [2]. We consider a class of nonlinear advection{diusion{reaction equations of the form @ @tu
Glasses having a low non-linear refractive index for laser applications
Faulstich, Marga (Mainz, DE); Jahn, Walter (Ingelheim, DE); Krolla, Georg (Mainz, DE); Neuroth, Norbert (Mainz-Mombach, DE)
1980-01-01T23:59:59.000Z
Glass composition ranges are described which permit the introduction of laser activators into fluorphosphate glass with exceptionally high fluorine content while forming glasses of high crystallization stability and permitting the realization of large melt volumes. The high fluorine content imparts to the glasses an exceptionally low nonlinear refractive index n.sub.2 down to O,4 .times.10.sup.-13 esu.
Time sub-optimal nonlinear PI and PID controllers applied to
Paris-Sud XI, Université de
issue is close to the line of research on "proximate" time- optimal for linear systems admitting closed to infinity yields the discontinuous time-optimal controls for these systems, will be derived and will form1 Time sub-optimal nonlinear PI and PID controllers applied to longitudinal headway car control
Method of forming nanodielectrics
Tuncer, Enis [Knoxville, TN; Polyzos, Georgios [Oak Ridge, TN
2014-01-07T23:59:59.000Z
A method of making a nanoparticle filled dielectric material. The method includes mixing nanoparticle precursors with a polymer material and reacting the nanoparticle mixed with the polymer material to form nanoparticles dispersed within the polymer material to form a dielectric composite.
Tolle, Charles R. (Idaho Falls, ID); Clark, Denis E. (Idaho Falls, ID); Smartt, Herschel B. (Idaho Falls, ID); Miller, Karen S. (Idaho Falls, ID)
2009-10-06T23:59:59.000Z
A material-forming tool and a method for forming a material are described including a shank portion; a shoulder portion that releasably engages the shank portion; a pin that releasably engages the shoulder portion, wherein the pin defines a passageway; and a source of a material coupled in material flowing relation relative to the pin and wherein the material-forming tool is utilized in methodology that includes providing a first material; providing a second material, and placing the second material into contact with the first material; and locally plastically deforming the first material with the material-forming tool so as mix the first material and second material together to form a resulting material having characteristics different from the respective first and second materials.
Computational Reality XIII Non-linear regression
Berlin,Technische Universität
Computational Reality XIII Non-linear regression Inverse analysis II B. Emek Abali @ LKM - TU Berlin Abstract Linear regression to fit and determine parameters, shown in the last tutorial, is quite useful and widely implemented, however, there are material models where parameters are coupled non-linearly
Nonlinear Peltier effect in semiconductors Mona Zebarjadia
Nonlinear Peltier effect in semiconductors Mona Zebarjadia Department of Electrical Engineering; published online 18 September 2007 Nonlinear Peltier coefficient of a doped InGaAs semiconductor for single parabolic band semiconductors assuming a shifted Fermi-Dirac electronic distribution under
Nonlinear Lattice Waves in Random Potentials
Sergej Flach
2014-09-10T23:59:59.000Z
Localization of waves by disorder is a fundamental physical problem encompassing a diverse spectrum of theoretical, experimental and numerical studies in the context of metal-insulator transition, quantum Hall effect, light propagation in photonic crystals, and dynamics of ultra-cold atoms in optical arrays. Large intensity light can induce nonlinear response, ultracold atomic gases can be tuned into an interacting regime, which leads again to nonlinear wave equations on a mean field level. The interplay between disorder and nonlinearity, their localizing and delocalizing effects is currently an intriguing and challenging issue in the field. We will discuss recent advances in the dynamics of nonlinear lattice waves in random potentials. In the absence of nonlinear terms in the wave equations, Anderson localization is leading to a halt of wave packet spreading. Nonlinearity couples localized eigenstates and, potentially, enables spreading and destruction of Anderson localization due to nonintegrability, chaos and decoherence. The spreading process is characterized by universal subdiffusive laws due to nonlinear diffusion. We review extensive computational studies for one- and two-dimensional systems with tunable nonlinearity power. We also briefly discuss extensions to other cases where the linear wave equation features localization: Aubry-Andre localization with quasiperiodic potentials, Wannier-Stark localization with dc fields, and dynamical localization in momentum space with kicked rotors.
PROCESS CONTROLLABILITY ANALYSIS USING LINEAR AND NONLINEAR
Skogestad, Sigurd
PROCESS CONTROLLABILITY ANALYSIS USING LINEAR AND NONLINEAR OPTIMISATION Samara D. Chenery October linear and nonlinear dynamic optimisation techniques. For the linear case an optimal control problem is formulated to assess the best achievable performance for the set of linear time invariant (LTI) controllers
Nonlinear Radon and Fourier Transforms Franois Rouvire
Vallette, Bruno
Nonlinear Radon and Fourier Transforms François Rouvière Université de Nice Laboratoire Dieudonné, of the clas- sical Radon transform on hyperplanes. A function f on Rn can be reconstructed from nonlinear Radon transforms, obtained by integrating f and a ...nite num- ber of multiples x f over a family
Nonlinear principal component analysis by neural networks
Hsieh, William
Nonlinear principal component analysis by neural networks William W. Hsieh Oceanography oversimplification of the datasets being analyzed. The advent of neural network (NN) models, a class of powerful by a neural net- work model which nonlinearly generalizes the classical principal component analysis (PCA
Nonlinear principal component analysis by neural networks
Hsieh, William
Nonlinear principal component analysis by neural networks William W. Hsieh Oceanography a potential oversimplification of the datasets being analyzed. The advent of neural network (NN) models by a neural net work model which nonlinearly generalizes the classical principal component analysis (PCA
Scale-invariant nonlinear optics in gases
Heyl, C M; Miranda, M; Louisy, M; Kovacs, K; Tosa, V; Balogh, E; Varjú, K; L'Huillier, A; Couairon, A; Arnold, C L
2015-01-01T23:59:59.000Z
Nonlinear optical methods are becoming ubiquitous in many areas of modern photonics. They are, however, often limited to a certain range of input parameters, such as pulse energy and average power, since restrictions arise from, for example, parasitic nonlinear effects, damage problems and geometrical considerations. Here, we show that many nonlinear optics phenomena in gaseous media are scale-invariant if spatial coordinates, gas density and laser pulse energy are scaled appropriately. We develop a general scaling model for (3+1)-dimensional wave equations, demonstrating the invariant scaling of nonlinear pulse propagation in gases. Our model is numerically applied to high-order harmonic generation and filamentation as well as experimentally verified using the example of pulse post-compression via filamentation. Our results provide a simple recipe for up-or downscaling of nonlinear processes in gases with numerous applications in many areas of science.
Annual Energy Outlook 2013 [U.S. Energy Information Administration (EIA)]
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 334 318 706Production% of41.1Diesel prices increase nationallyFAQs for Survey FormFormsFORM
Coherent Vibrational Dynamics and High-Resolution Nonlinear Spectrosco...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
Vibrational Dynamics and High-Resolution Nonlinear Spectroscopy: A Comparison with the AirDMSO Liquid Interface. Coherent Vibrational Dynamics and High-Resolution Nonlinear...
MODELING OF STATIC MINING SUBSIDENCE IN A NONLINEAR MEDIUM
Ratigan, J.L.
2013-01-01T23:59:59.000Z
for Static Evaluation of Mining Subsidence," Rep. No. LBL-6, 1981 MODELING OF STATIC MINING SUBSIDENCE IN A NONLINEAR11896 MODELING OF STATIC MINING SUBSIDENCE IN A NONLINEAR ~
Convex Quadratic Relaxations for Mixed-Integer Nonlinear ...
H. Hijazi, C. Coffrin and P. Van Hentenryck
2014-06-03T23:59:59.000Z
nonlinear and mixed-integer nonlinear programs arising in power systems. The ...... International Symposium on Computer Aided Control Systems Design, pp.
Satoh, Hisao (Hachioji, JP); Haneda, Satoshi (Hachioji, JP); Ikeda, Tadayoshi (Hachioji, JP); Morita, Shizuo (Hachioji, JP); Fukuchi, Masakazu (Hachioji, JP)
1996-01-01T23:59:59.000Z
In an image forming apparatus having a detachable process cartridge in which an image carrier on which an electrostatic latent image is formed, and a developing unit which develops the electrostatic latent image so that a toner image can be formed, both integrally formed into one unit. There is provided a developer container including a discharge section which can be inserted into a supply opening of the developing unit, and a container in which a predetermined amount of developer is contained, wherein the developer container is provided to the toner supply opening of the developing unit and the developer is supplied into the developing unit housing when a toner stirring screw of the developing unit is rotated.
Introduction to differential forms
2015-03-09T23:59:59.000Z
Mar 9, 2015 ... 8. 7 2-forms. 8. 8. Exactness in R3 and conservation of energy ...... As a typical example, consider a fluid such as air or water. Associated to this ...
2015 Electricity Form Proposals
U.S. Energy Information Administration (EIA) Indexed Site
form-the EIA-63C, Densified Biomass Fuel Report. Consumption of densified biomass fuel, a renewable energy source that includes wood pellets and other densified biomass fuels, is...
Electromagetic proton form factors
M Y Hussein
2006-10-31T23:59:59.000Z
The electromagnetic form factors are crucial to our understanding of the proton internal structure, and thus provide a strong constraint of the distributions of the charge and magnetization current within the proton. We adopted the quark-parton model for calculating and understanding the charge structure of the proton interms of the electromagnetic form factors. A remarkable agreement with the available experimental evidence is found.
Laser theory in manifest Lindblad form
C. Henkel
2007-05-06T23:59:59.000Z
We discuss the laser theory for a single-mode laser with nonlinear gain. We focus in particular on a micromaser which is pumped with a dilute beam of excited atoms crossing the laser cavity. In the weak-coupling regime, an expansion in the coupling strength is developed that preserves the Lindblad form of the master equation, securing the positivity of the density matrix. This expansion breaks rapidly down above threshold. This can be improved with an alternative approach, not restricted to weak coupling: the Lindblad operators are expanded in orthogonal polynomials adapted to the probability distribution for the atom-laser interaction time. Results for the photon statistics and the laser linewidth illustrate the theory.
Nonlinear dynamical system approaches towards neural prosthesis
Torikai, Hiroyuki; Hashimoto, Sho [Graduate School of Engineering Science, Osaka University (Japan)
2011-04-19T23:59:59.000Z
An asynchronous discrete-state spiking neurons is a wired system of shift registers that can mimic nonlinear dynamics of an ODE-based neuron model. The control parameter of the neuron is the wiring pattern among the registers and thus they are suitable for on-chip learning. In this paper an asynchronous discrete-state spiking neuron is introduced and its typical nonlinear phenomena are demonstrated. Also, a learning algorithm for a set of neurons is presented and it is demonstrated that the algorithm enables the set of neurons to reconstruct nonlinear dynamics of another set of neurons with unknown parameter values. The learning function is validated by FPGA experiments.
Minimizing radiation damage in nonlinear optical crystals
Cooke, D. Wayne (Santa Fe, NM); Bennett, Bryan L. (Los Alamos, NM); Cockroft, Nigel J. (Santa Fe, NM)
1998-01-01T23:59:59.000Z
Methods are disclosed for minimizing laser induced damage to nonlinear crystals, such as KTP crystals, involving various means for electrically grounding the crystals in order to diffuse electrical discharges within the crystals caused by the incident laser beam. In certain embodiments, electrically conductive material is deposited onto or into surfaces of the nonlinear crystals and the electrically conductive surfaces are connected to an electrical ground. To minimize electrical discharges on crystal surfaces that are not covered by the grounded electrically conductive material, a vacuum may be created around the nonlinear crystal.
Minimizing radiation damage in nonlinear optical crystals
Cooke, D.W.; Bennett, B.L.; Cockroft, N.J.
1998-09-08T23:59:59.000Z
Methods are disclosed for minimizing laser induced damage to nonlinear crystals, such as KTP crystals, involving various means for electrically grounding the crystals in order to diffuse electrical discharges within the crystals caused by the incident laser beam. In certain embodiments, electrically conductive material is deposited onto or into surfaces of the nonlinear crystals and the electrically conductive surfaces are connected to an electrical ground. To minimize electrical discharges on crystal surfaces that are not covered by the grounded electrically conductive material, a vacuum may be created around the nonlinear crystal. 5 figs.
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports(Journal Article) |govInstrumentsmfrirt DocumentationSitesWeather6Environmental1 |MAgnEt forFirst ProofAbout TargetForForofForm EIA-3E Form
Bobyrev, Yu V; Petnikova, V M; Rudenko, K V; Shuvalov, V V [International Laser Center, M. V. Lomonosov Moscow State University, Moscow (Russian Federation)
2008-02-28T23:59:59.000Z
It is shown that for the appropriate choice of the spectral measurement range (the choice of the coincidence point for the pumping component frequencies in the methods of biharmonic pumping and degenerate four-photon spectroscopy), the spectral and temperature features of the picosecond nonlinear response of high-temperature super-conductors (HTSCs) caused by interband transitions in the electronic spectrum with a metastable energy gap are stable with respect to the excitation level. The character of these features is determined by the resonance component of the total nonlinear response, which is formed at initial HTSC temperatures below the phase transition point (when the energy gap appears in the electronic spectrum). (nonlinear optical phenomena)
Parameter Synthesis in Nonlinear Dynamical Systems: Application to Systems Biology
Langmead, Christopher James
Parameter Synthesis in Nonlinear Dynamical Systems: Application to Systems Biology Alexandre Donz. The dynamics of biological processes are often modeled as systems of nonlinear ordinary differential equations problem for nonlinear dynamical systems. That is, for systems of nonlinear ordinary differential equations
Nonlinear Independent Component Analysis: Existence and Uniqueness Results
Hyvärinen, Aapo
\\Lambda Corresponding author 1 #12; Nonlinear Independent Component Analysis: Existence and Uniqueness
PROGRAM CLARIFICATION RETURN FORM
Amin, S. Massoud
year 3rd year beyond 3rd year During the 2015 spring semester I will: have undergraduate student status year 3rd year beyond 3rd year PART C. Certification You must sign this form certifying (hearing impaired): 612-626-0701 Email: onestop@umn.edu Academic Year 20142015 *FA711* DIRECTIONS
Woerner, Robert L. (Livermore, CA)
1980-01-01T23:59:59.000Z
Apparatus and method for cryoinduced uniform deposition of cryogenic materials, such as deuterium-tritium (DT) mixtures, on the inner surface of hollow spherical members, such as inertially imploded targets. By vaporizing and quickly refreezing cryogenic materials contained within a hollow spherical member, a uniform layer of the materials is formed on the inner surface of the spherical member. Heating of the cryogenic material, located within a non-isothermal compact freezing cell, is accomplished by an electrical heat pulse, whereafter the material is quickly frozen forming a uniform layer on the inner surface of the spherical member. The method is not restricted to producing a frozen layer on only the inner surface of the innermost hollow member, but where multiple concentric hollow spheres are involved, such as in multiple shell targets for lasers, electron beams, etc., layers of cryogenic material may also be formed on the inner surface of intermediate or outer spherical members, thus providing the capability of forming targets having multiple concentric layers or shells of frozen DT.
Nonlinear transform coding with lossless polar coordinates
Ba, Demba Elimane
2006-01-01T23:59:59.000Z
In conventional transform coding, the importance of preserving desirable quantization partition cell shapes prevents one from considering the use of a nonlinear change of variables. If no linear transformation of a given ...
Nonlinear and Complex Dynamics in Real Systems
Barnett, William A.; Serletis, Apostolos; Serletis, Demitre
2006-06-01T23:59:59.000Z
In this article we provide a review of the literature with respect to fluctuations in real systems and chaos. In doing so, we contrast the order and organization hypothesis of real systems to nonlinear chaotic dynamics and discuss some techniques...
Nonlinear Systems and Complexity Series Editor
Carretero, Ricardo
-Acebedo Editors Localized Excitations in Nonlinear Complex Systems Current State of the Art and Future University California San Diego, USA Jesús Cuevas-Maraver Dept. de Física Aplicada I Escuela Politécnica
Nonlinear multivariate analysis of Neurophysiological Signals
Ernesto Pereda; Rodrigo Quian Quiroga; Joydeep Bhattacharya
2005-10-31T23:59:59.000Z
Multivariate time series analysis is extensively used in neurophysiology with the aim of studying the relationship between simultaneously recorded signals. Recently, advances on information theory and nonlinear dynamical systems theory have allowed the study of various types of synchronization from time series. In this work, we first describe the multivariate linear methods most commonly used in neurophysiology and show that they can be extended to assess the existence of nonlinear interdependences between signals. We then review the concepts of entropy and mutual information followed by a detailed description of nonlinear methods based on the concepts of phase synchronization, generalized synchronization and event synchronization. In all cases, we show how to apply these methods to study different kinds of neurophysiological data. Finally, we illustrate the use of multivariate surrogate data test for the assessment of the strength (strong or weak) and the type (linear or nonlinear) of interdependence between neurophysiological signals.
Rotordynamic instability: nonlinear modeling and analysis
Cooper, Charles Ira
1998-01-01T23:59:59.000Z
A basic rotordynamic model is developed for an crographics. unbalanced rotor connected to a shaft modeled as a continuous beam. This model examines the effects of nonlinear dynamics strictly related to the rotor and shaft. The model dynamics include...
Nonlinear terahertz devices utilizing semiconducting plasmonic metamaterials
Seren, Huseyin R; Keiser, George R; Maddox, Scott J; Zhao, Xiaoguang; Fan, Kebin; Bank, Seth R; Zhang, Xin; Averitt, Richard D
2015-01-01T23:59:59.000Z
The development of responsive metamaterials has enabled the realization of compact tunable photonic devices capable of manipulating the amplitude, polarization, wave vector, and frequency of light. Integration of semiconductors into the active regions of metallic resonators is a proven approach for creating nonlinear metamaterials through optoelectronic control of the semiconductor carrier density. Metal-free subwavelength resonant semiconductor structures offer an alternative approach to create dynamic metamaterials. We present InAs plasmonic disk arrays as a viable resonant metamaterial at terahertz frequencies. Importantly, InAs plasmonic disks exhibit a strong nonlinear response arising from electric field induced intervalley scattering resulting in a reduced carrier mobility thereby damping the plasmonic response. We demonstrate nonlinear perfect absorbers configured as either optical limiters or saturable absorbers, including flexible nonlinear absorbers achieved by transferring the disks to polyimide f...
Perspective Reformulations of Mixed Integer Nonlinear Programs ...
2009-06-02T23:59:59.000Z
Since software for nonlinear programs continues to become more efficient ... Mathematical Sciences Department, IBM T.J. Watson Research Center, P.O. Box 218, York- ...... the instances are reported at http://www.di.unipi.it/optimize/Data/
Nonlinear response theory in chemical kinetics
Kryvohuz, M; Mukamel, S
2014-01-01T23:59:59.000Z
?D(t) are D 0 (t) = (1) Chemical reactions, N h i ( x , t) iOF NONLINEAR RESPONSE THEORY TO CHEMICAL KINETICS Equation (non- linear responses of chemical systems to perturbations
Electromagnetic nonlinear gyrokinetics with polarization drift
Duthoit, F.-X. [SNU Division of Graduate Education for Sustainabilization of Foundation Energy, Seoul National University, Gwanak-ro 1, Gwanak-gu, 151-744 Seoul (Korea, Republic of); Hahm, T. S., E-mail: tshahm@snu.ac.kr [Department of Nuclear Engineering, Seoul National University, Gwanak-ro 1, Gwanak-gu, 151-744 Seoul (Korea, Republic of); Wang, Lu [College of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074 (China)
2014-08-15T23:59:59.000Z
A set of new nonlinear electromagnetic gyrokinetic Vlasov equation with polarization drift and gyrokinetic Maxwell equations is systematically derived by using the Lie-transform perturbation method in toroidal geometry. For the first time, we recover the drift-kinetic expression for parallel acceleration [R. M. Kulsrud, in Basic Plasma Physics, edited by A. A. Galeev and R. N. Sudan (North-Holland, Amsterdam, 1983)] from the nonlinear gyrokinetic equations, thereby bridging a gap between the two formulations. This formalism should be useful in addressing nonlinear ion Compton scattering of intermediate-mode-number toroidal Alfvén eigenmodes for which the polarization current nonlinearity [T. S. Hahm and L. Chen, Phys. Rev. Lett. 74, 266 (1995)] and the usual finite Larmor radius effects should compete.
Nonlinear Gravitational Clustering in Expanding Universe
T. Padmanabhan
1996-07-19T23:59:59.000Z
The gravitational clustering of collisionless particles in an expanding universe is modelled using some simple physical ideas. I show that it is possible to understand the nonlinear clustering in terms of three well defined regimes: (1) linear regime; (2) quasilinear regime which is dominated by scale-invariant radial infall and (3) nonlinear regime dominated by nonradial motions and mergers. Modelling each of these regimes separately I show how the nonlinear two point correlation function can be related to the linear correlation function in hierarchical models. This analysis leads to results which are in good agreement with numerical simulations thereby providing an explanation for numerical results. Using this model and some simple extensions, it is possible to understand the transfer of power from large to small scales and the behaviour of higher order correlation functions. The ideas presented here will also serve as a powerful analytical tool to investigate nonlinear clustering in different models.
Fluctuation-induced interactions and nonlinear nanophotonics
Rodriguez-Wong, Alejandro
2010-01-01T23:59:59.000Z
We present theoretical and numerical methods for studying Casimir forces and nonlinear frequency conversion in nanophotonic media consisting of arbitrary geometries and materials. The first section of the thesis focuses ...
Guided wave methods and apparatus for nonlinear frequency generation
Durfee, III, Charles G. (Ann Arbor, MI); Rundquist, Andrew (Austin, TX); Kapteyn, Henry C. (Ann Arbor, MI); Murnane, Margaret M. (Ann Arbor, MI)
2000-01-01T23:59:59.000Z
Methods and apparatus are disclosed for the nonlinear generation of sum and difference frequencies of electromagnetic radiation propagating in a nonlinear material. A waveguide having a waveguide cavity contains the nonlinear material. Phase matching of the nonlinear generation is obtained by adjusting a waveguide propagation constant, the refractive index of the nonlinear material, or the waveguide mode in which the radiation propagates. Phase matching can be achieved even in isotropic nonlinear materials. A short-wavelength radiation source uses phase-matched nonlinear generation in a waveguide to produce high harmonics of a pulsed laser.
QPOs: Einstein's gravity non-linear resonances
Paola Rebusco; Marek A. Abramowicz
2006-01-30T23:59:59.000Z
There is strong evidence that the observed kHz Quasi Periodic Oscillations (QPOs) in the X-ray flux of neutron star and black hole sources in LMXRBs are linked to Einstein's General Relativity. Abramowicz&Klu\\'zniak (2001) suggested a non-linear resonance model to explain the QPOs origin: here we summarize their idea and the development of a mathematical toy-model which begins to throw light on the nature of Einstein's gravity non-linear oscillations.
Nonlinear Quantum Mechanics at the Planck Scale
George Svetlichny
2004-10-27T23:59:59.000Z
I argue that the linearity of quantum mechanics is an emergent feature at the Planck scale, along with the manifold structure of space-time. In this regime the usual causality violation objections to nonlinearity do not apply, and nonlinear effects can be of comparable magnitude to the linear ones and still be highly suppressed at low energies. This can offer alternative approaches to quantum gravity and to the evolution of the early universe.
Non-linearities in the quantum multiverse
Orfeu Bertolami; Victor Herdeiro
2012-08-01T23:59:59.000Z
It has been recently proposed that the multiverse of eternal inflation and the many-worlds interpretation of quantum mechanics can be identified, yielding a new view on the measure and measurement problems. In the present note, we argue that a non-linear evolution of observables in the quantum multiverse would be an obstacle for such a description and that these non-linearities are expected from quite general arguments.
Interactions and Focusing of Nonlinear Water Waves
Harihar Khanal; Stefan C. Mancas; Shahrdad Sajjadi
2013-02-21T23:59:59.000Z
The coupled cubic nonlinear Schr\\"odinger (CNLS) equations are used to study modulational instabilities of a pair of nonlinearly interacting two-dimensional waves in deep water. It has been shown that the full dynamics of these interacting waves gives rise to localized large-amplitude wavepackets (wave focusing). In this short letter we attempt to verify this result numerically using a Fourier spectral method for the CNLS equations.
Christov, Ivan C.
Introduction Nonlinear Fourier Analysis Ocean Internal Waves KdV Hidden Solitons Closure Two case studies in nonlinear Fourier analysis: Ocean internal solitary waves and the ZabuskyKruskal solitons Ivan Ivan C. Christov (PU) Nonlinear Fourier Analysis INRNE Seminar 1 / 26 #12;Introduction Nonlinear
Quasiperiodic AlGaAs superlattices for neuromorphic networks and nonlinear control systems
K. V. Malyshev
2015-02-08T23:59:59.000Z
The application of quasiperiodic AlGaAs superlattices as a nonlinear element of the FitzHugh-Nagumo neuromorphic network is proposed and theoretically investigated on the example of Fibonacci and figurate superlattices. The sequences of symbols for the figurate superlattices were produced by decomposition of the Fibonacci superlattices' symbolic sequences. A length of each segment of the decomposition was equal to the corresponding figurate number. It is shown that a nonlinear network based upon Fibonacci and figurate superlattices provides better parallel filtration of a half-tone picture than a network based upon traditional diodes which have cubic voltage-current characteristics. It was found that the figurate superlattice F011(1) as a nonlinear network's element provides the filtration error almost twice less than the conventional "cubic" diode. These advantages are explained by a wavelike shape of the decreasing part of the quasiperiodic superlattice's voltage-current characteristic, which leads to multistability of the network's cell. This multistability promises new interesting nonlinear dynamical phenomena. A variety of wavy forms of voltage-current characteristics opens up new interesting possibilities for quasiperiodic superlattices and especially for figurate superlattices in many areas - from nervous system modeling to nonlinear control systems development
Farrar, G.R.; Huleihel, K.; Zhang, H. (Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08855 (United States))
1995-01-30T23:59:59.000Z
We obtain the perturbative QCD (PQCD) prediction for the leading twist deuteron form factor, treated as a pair of nucleons in nonrelativistic bound state. It is [lt]10[sup [minus]3] times experiment at [ital Q][sup 2]=4 GeV[sup 2], suggesting that PQCD is not relevant to the deuteron form factor at present values of [ital Q][sup 2], or that non-nucleon (e.g., hidden color'') degrees of freedom must be included for a correct description of the deuteron. The tree-level amplitude [similar to][ital eg][sup 10] and is the sum of several 10[sup 6] Feynman diagrams, making it an interesting case study in the behavior of perturbation theory.
Broader source: Energy.gov [DOE]
DOE intends to update the SSL Pricing and Efficacy Trend Analysis for Utility Program Planning report on an annual basis, but doing so requires that we have sufficient product and purchase data including acquisition date, purchase price, product category, and rated initial lumens. Those interested in helping collect this data are asked to use the LED Price Tracking FormMicrosoft Excel and follow the instructions for submitting data.
Nonhydrostatic and nonlinear contributions to the energy flux budget in nonlinear internal waves
Fringer, Oliver B.
Nonhydrostatic and nonlinear contributions to the energy flux budget in nonlinear internal waves S waves. Our results show that the contributions to the total energy flux from these additional terms as well as non- linearity. The partitioning of the incident internal wave energy over the course
Linear Control of Nonlinear Systems The Interplay between Nonlinearity and Feedback
Nikolaou, Michael
1 Linear Control of Nonlinear Systems The Interplay between Nonlinearity and Feedback S. Alper computational methodology that addresses the question of when and what linear control is adequate linear and/or b. the controlled process will be operating closely enough to a steady state for its
Nonlinear quantum equations: Classical field theory
Rego-Monteiro, M. A.; Nobre, F. D. [Centro Brasileiro de Pesquisas Físicas and National Institute of Science and Technology for Complex Systems, Rua Xavier Sigaud 150, 22290-180 Rio de Janeiro - RJ (Brazil)] [Centro Brasileiro de Pesquisas Físicas and National Institute of Science and Technology for Complex Systems, Rua Xavier Sigaud 150, 22290-180 Rio de Janeiro - RJ (Brazil)
2013-10-15T23:59:59.000Z
An exact classical field theory for nonlinear quantum equations is presented herein. It has been applied recently to a nonlinear Schrödinger equation, and it is shown herein to hold also for a nonlinear generalization of the Klein-Gordon equation. These generalizations were carried by introducing nonlinear terms, characterized by exponents depending on an index q, in such a way that the standard, linear equations, are recovered in the limit q? 1. The main characteristic of this field theory consists on the fact that besides the usual ?(x(vector sign),t), a new field ?(x(vector sign),t) needs to be introduced in the Lagrangian, as well. The field ?(x(vector sign),t), which is defined by means of an additional equation, becomes ?{sup *}(x(vector sign),t) only when q? 1. The solutions for the fields ?(x(vector sign),t) and ?(x(vector sign),t) are found herein, being expressed in terms of a q-plane wave; moreover, both field equations lead to the relation E{sup 2}=p{sup 2}c{sup 2}+m{sup 2}c{sup 4}, for all values of q. The fact that such a classical field theory works well for two very distinct nonlinear quantum equations, namely, the Schrödinger and Klein-Gordon ones, suggests that this procedure should be appropriate for a wider class nonlinear equations. It is shown that the standard global gauge invariance is broken as a consequence of the nonlinearity.
Circuit quantum electrodynamics with a nonlinear resonator
P. Bertet; F. R. Ong; M. Boissonneault; A. Bolduc; F. Mallet; A. C. Doherty; A. Blais; D. Vion; D. Esteve
2011-11-02T23:59:59.000Z
One of the most studied model systems in quantum optics is a two-level atom strongly coupled to a single mode of the electromagnetic field stored in a cavity, a research field named cavity quantum electrodynamics or CQED. CQED has recently received renewed attention due to its implementation with superconducting artificial atoms and coplanar resonators in the so-called circuit quantum electrodynamics (cQED) architecture. In cQED, the couplings can be much stronger than in CQED due to the design flexibility of superconducting circuits and to the enhanced field confinement in one-dimensional cavities. This enabled the realization of fundamental quantum physics and quantum information processing experiments with a degree of control comparable to that obtained in CQED. The purpose of this chapter is to investigate the situation where the resonator to which the atom is coupled is made nonlinear with a Kerr-type nonlinearity, causing its energy levels to be nonequidistant. The system is then described by a nonlinear Jaynes-Cummings Hamiltonian. This considerably enriches the physics since a pumped nonlinear resonator displays bistability, parametric amplification, and squeezing. The interplay of strong coupling and these nonlinear effects constitutes a novel model system for quantum optics that can be implemented experimentally with superconducting circuits. This chapter is organized as follows. In a first section we present the system consisting of a superconducting Kerr nonlinear resonator strongly coupled to a transmon qubit. In the second section, we describe the response of the sole nonlinear resonator to an external drive. In the third section, we show how the resonator bistability can be used to perform a high-fidelity readout of the transmon qubit. In the last section, we investigate the quantum backaction exerted by the intracavity field on the qubit.
Nonlinear wave equation, nonlinear Riemann problem, and the twistor transform of Veronese webs
Ilya Zakharevich
2000-06-04T23:59:59.000Z
Veronese webs are rich geometric structures with deep relationships to various domains of mathematics. The PDEs which determine the Veronese web are overdetermined if dim >3, but in the case dim =3 they reduce to a special flavor of a non-linear wave equation. The symmetries embedded in the definition of a Veronese web reveal themselves as B\\"acklund--Darboux transformations between these non-linear wave equations. On the other hand, the twistor transform identifies Veronese webs with moduli spaces of rational curves on certain complex surfaces. These moduli spaces can be described in terms of the non-linear Riemann problem. This reduces solutions of these non-linear wave equations to the non-linear Riemann problem. We examine these relationships in the particular case of 3-dimensional Veronese webs, simultaneously investigating how these notions relate to general notions of geometry of webs.
Nonlinear dynamics of the magnetosphere and space weather
Sharma, A.S. [Univ. of Maryland, College Park, MD (United States). Dept. of Astronomy
1996-12-31T23:59:59.000Z
The solar wind-magnetosphere-ionosphere system exhibits coherence on the global scale and such behavior can arise from nonlinearity in the dynamics. The observational time series data have been used extensively to analyze the magnetospheric dynamics by using the techniques of phase space reconstruction. Analyses of the solar wind and auroral electrojet and Dst indices have shown low dimensionality of the dynamics and accurate prediction can be made with an input-output model. The predictability of the magnetosphere in spite of the apparent complexity arises form its being synchronized, in the dynamical sense, to the solar wind. The AE and Dst data are used to analyze the storm-substorm relationship based on the input-output model. This shows differences between the storm-time and non-storm substorms, and is interpreted in terms of loading-unloading and directly driven processes. The strong electrodynamic coupling between the different regions of the magnetosphere yields its coherent and thus low dimensional behavior. The data from multiple satellites and ground stations are used to develop a spatio-temporal model that identifies the coupling between the different regions. These nonlinear dynamical models provide forecasting tools for space weather.
Deep-water gravity waves: nonlinear theory of wave groups
Mindlin, I M
2014-01-01T23:59:59.000Z
Nonlinear initial-boundary value problem on deep-water gravity waves of finite amplitude is solved approximately (up to small terms of higher order) assuming that the waves are generated by an initial disturbance to the water and the horizontal dimensions of the initially disturbed body of the water are much larger than the magnitude of the free surface displacement. A numerable set of specific free surface waves is obtained in closed form and it is shown that free surface waves produced by an arbitrary initial disturbance to the water is a combination (not superposition: the waves are nonlinear) of the specific waves. A set of dispersive wave packets is found with one-to-one correspondence between the packets and positive integers, say, packet numbers, such that any initial free surface displacement gradually disintegrates into a number (limited or unlimited, depending on initial conditions) of the wave packets. The greater the packet number, the shorter the wavelength of the packet's carrier wave component,...
Non-linear Plasma Wake Growth of Electron Holes
Hutchinson, I H; Zhou, C
2015-01-01T23:59:59.000Z
An object's wake in a plasma with small Debye length that drifts \\emph{across} the magnetic field is subject to electrostatic electron instabilities. Such situations include, for example, the moon in the solar wind wake and probes in magnetized laboratory plasmas. The instability drive mechanism can equivalently be considered drift down the potential-energy gradient or drift up the density-gradient. The gradients arise because the plasma wake has a region of depressed density and electrostatic potential into which ions are attracted along the field. The non-linear consequences of the instability are analysed in this paper. At physical ratios of electron to ion mass, neither linear nor quasilinear treatment can explain the observation of large-amplitude perturbations that disrupt the ion streams well before they become ion-ion unstable. We show here, however, that electron holes, once formed, continue to grow, driven by the drift mechanism, and if they remain in the wake may reach a maximum non-linearly stable...
Gasoline and Diesel Fuel Update (EIA)
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 334 318 706 802Decade Year-0 Year-1ColoradoDatabaseWells4Barrels)Year JanperEIA-457A Form
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AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5(Million Cubic Feet) Oregon (Including Vehicle Fuel) (Million Cubic Feet) NaturalOctoberConsumptionPTO-Sim: DevelopmentSTANDARD FORM 120-A. APRIL1158 of
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AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports(Journal Article) |govInstrumentsmfrirt DocumentationSitesWeather6Environmental1 |MAgnEt forFirst ProofAbout TargetForForofForm EIA-3E
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AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports(Journal Article) |govInstrumentsmfrirt DocumentationSitesWeather6Environmental1 |MAgnEt forFirst ProofAbout TargetForForofForm
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AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports(Journal Article) |govInstrumentsmfrirt DocumentationSitesWeather6Environmental1 |MAgnEt forFirst ProofAbout TargetForForofForm0M
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports(Journal Article) |govInstrumentsmfrirt DocumentationSitesWeather6Environmental1 |MAgnEt forFirst ProofAboutPlant Name:70thPublicationsForms
Radiation Safety Work Control Form
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
Radiation Safety Work Control Form (see instructions on pg-3) Rev. May 2014 Area: Form : Date: Preliminary Applicability Screen: (a) Will closing the beam line injection stoppers...
Rhodes, Mark A. (Pleasanton, CA)
2008-10-21T23:59:59.000Z
A bipolar pulse forming transmission line module for linear induction accelerators having first, second, third, fourth, and fifth planar conductors which form an interleaved stack with dielectric layers between the conductors. Each conductor has a first end, and a second end adjacent an acceleration axis. The first and second planar conductors are connected to each other at the second ends, the fourth and fifth planar conductors are connected to each other at the second ends, and the first and fifth planar conductors are connected to each other at the first ends via a shorting plate adjacent the first ends. The third planar conductor is electrically connectable to a high voltage source, and an internal switch functions to short a high voltage from the first end of the third planar conductor to the first end of the fourth planar conductor to produce a bipolar pulse at the acceleration axis with a zero net time integral. Improved access to the switch is enabled by an aperture through the shorting plate and the proximity of the aperture to the switch.
Summers, Melissa Erin
2012-01-01T23:59:59.000Z
regions of nonlinear dynamical systems: A constructiveof a class of nonlinear dynamical systems with LMI methodsoutput gain of nonlinear dynamical systems described by
Plutonium immobilization form evaluation
Gray, L. W., LLNL
1998-02-13T23:59:59.000Z
The 1994 National Academy of Sciences study and the 1997 assessment by DOE`s Office of Nonproliferation and National Security have emphasized the importance of the overall objectives of the Plutonium Disposition Program of beginning disposition rapidly. President Clinton and other leaders of the G-7 plus one (`Political Eight`) group of states, at the Moscow Nuclear Safety And Security Summit in April 1996, agreed on the objectives of accomplishing disposition of excess fissile material as soon as practicable. To meet these objectives, DOE has laid out an aggressive schedule in which large-scale immobilization operations would begin in 2005. Lawrence Livermore National Laboratory (LLNL), the lead laboratory for the development of Pu immobilization technologies for the Department of Energy`s Office of Fissile Materials Disposition (MD), was requested by MD to recommend the preferred immobilization form and technology for the disposition of excess weapons-usable Pu. In a series of three separate evaluations, the technologies for the candidate glass and ceramic forms were compared against criteria and metrics that reflect programmatic and technical objectives: (1) Evaluation of the R&D and engineering data for the two forms against the decision criteria/metrics by a technical evaluation panel comprising experts from within the immobilization program. (2) Integrated assessment by LLNL immobilization management of the candidate technologies with respect to the weighted criteria and other programmatic objectives, leading to a recommendation to DOE/MD on the preferred technology based on technical factors. (3) Assessment of the decision process, evaluation, and recommendation by a peer review panel of independent experts. Criteria used to assess the relative merits of the immobilization technologies were a subset of the criteria previously used by MD to choose among disposition options leading to the Programmatic Environmental Impact Statement and Record of Decision for the Storage and Disposition of Weapons-Usable Fissile Materials, January 1997. Criteria were: (1) resistance to Pu theft, diversion, and recovery by a terrorist organization or rogue nation; (2) resistance to recovery and reuse by host nation; (3) technical viability, including technical maturity, development risk, and acceptability for repository disposal; (4) environmental, safety, and health factors; (5) cost effectiveness; and (6) timeliness. On the basis of the technical evaluation and assessments, in September, 1997, LLNL recommended to DOE/MD that ceramic technologies be developed for deployment in the planned Pu immobilization plant.
Digital Backpropagation in the Nonlinear Fourier Domain
Wahls, Sander; Prilepsky, Jaroslaw E; Poor, H Vincent; Turitsyn, Sergei K
2015-01-01T23:59:59.000Z
Nonlinear and dispersive transmission impairments in coherent fiber-optic communication systems are often compensated by reverting the nonlinear Schr\\"odinger equation, which describes the evolution of the signal in the link, numerically. This technique is known as digital backpropagation. Typical digital backpropagation algorithms are based on split-step Fourier methods in which the signal has to be discretized in time and space. The need to discretize in both time and space however makes the real-time implementation of digital backpropagation a challenging problem. In this paper, a new fast algorithm for digital backpropagation based on nonlinear Fourier transforms is presented. Aiming at a proof of concept, the main emphasis will be put on fibers with normal dispersion in order to avoid the issue of solitonic components in the signal. However, it is demonstrated that the algorithm also works for anomalous dispersion if the signal power is low enough. Since the spatial evolution of a signal governed by the ...
On Stabilization of Nonautonomous Nonlinear Systems
Bogdanov, A. Yu. [Faculty of Mathematics and IT, Ulyanovsk State University, 42 Leo Tolstoy str., Ulyanovsk, 432970 (Russian Federation)
2008-10-30T23:59:59.000Z
The procedures to obtain the sufficient conditions of asymptotic stability for nonlinear nonstationary continuous-time systems are discussed. We consider different types of the following general controlled system: x = X(t,x,u) = F(t,x)+B(t,x)u, x(t{sub 0}) = x{sub 0}. (*) The basis of investigation is limiting equations, limiting Lyapunov functions, etc. The improved concept of observability of the pair of functional matrices is presented. By these results the problem of synthesis of asymptotically stable control nonlinear nonautonomous systems (with linear parts) involving the quadratic time-dependent Lyapunov functions is solved as well as stabilizing a given unstable system with nonlinear control law.
Nonlinear optical techniques for surface studies. [Monolayers
Shen, Y.R.
1981-09-01T23:59:59.000Z
Recent effort in developing nonlinear optical techniques for surface studies is reviewed. Emphasis is on monolayer detection of adsorbed molecules on surfaces. It is shown that surface coherent antiStokes Raman scattering (CARS) with picosecond pulses has the sensitivity of detecting submonolayer of molecules. On the other hand, second harmonic or sum-frequency generation is also sensitive enough to detect molecular monolayers. Surface-enhanced nonlinear optical effects on some rough metal surfaces have been observed. This facilitates the detection of molecular monolayers on such surfaces, and makes the study of molecular adsorption at a liquid-metal interface feasible. Advantages and disadvantages of the nonlinear optical techniques for surface studies are discussed.
Damage detection in initially nonlinear systems
Bornn, Luke [Los Alamos National Laboratory; Farrar, Charles [Los Alamos National Laboratory; Park, Gyuhae [Los Alamos National Laboratory
2009-01-01T23:59:59.000Z
The primary goal of Structural Health Monitoring (SHM) is to detect structural anomalies before they reach a critical level. Because of the potential life-safety and economic benefits, SHM has been widely studied over the past decade. In recent years there has been an effort to provide solid mathematical and physical underpinnings for these methods; however, most focus on systems that behave linearly in their undamaged state - a condition that often does not hold in complex 'real world' systems and systems for which monitoring begins mid-lifecycle. In this work, we highlight the inadequacy of linear-based methodology in handling initially nonlinear systems. We then show how the recently developed autoregressive support vector machine (AR-SVM) approach to time series modeling can be used for detecting damage in a system that exhibits initially nonlinear response. This process is applied to data acquired from a structure with induced nonlinearity tested in a laboratory environment.
A Lower Bound on the per Soliton Capacity of the Nonlinear Optical Fibre Channel
Shevchenko, Nikita A; Derevyanko, Stanislav A; Alvarado, Alex; Bayvel, Polina; Turitsyn, Sergei K
2015-01-01T23:59:59.000Z
A closed-form expression for a lower bound on the per soliton capacity of the nonlinear optical fibre channel in the presence of (optical) amplifier spontaneous emission (ASE) noise is derived. This bound is based on a non-Gaussian conditional probability density function for the soliton amplitude jitter induced by the ASE noise and is proven to grow logarithmically as the signal-to-noise ratio increases.
Hans Cruz; Dieter Schuch; Octavio Castaños; Oscar Rosas-Ortiz
2015-05-11T23:59:59.000Z
The sensitivity of the evolution of quantum uncertainties to the choice of the initial conditions is shown via a complex nonlinear Riccati equation leading to a reformulation of quantum dynamics. This sensitivity is demonstrated for systems with exact analytic solutions with the form of Gaussian wave packets. In particular, one-dimensional conservative systems with at most quadratic Hamiltonians are studied.
Yim, Solomon C.
approximation of the nonlinear restoring, and hydrodynamic excitation of inertia and drag components. The waves. The structural system is approximated as a 2- D cylinder. A piston-type wavemaker is employed to generate surface of an alternative form of Morison hydrodynamic damping (independent- flow-field), a three-term polynomial
Nonlinear Dynamics of Particles Excited by an Electric Curtain
Owen D. Myers; Junru Wu; Jeffrey S. Marshall
2014-11-10T23:59:59.000Z
The use of the electric curtain (EC) has been proposed for manipulation and control of particles in various applications. The EC studied in this paper is called the 2-phase EC, which consists of a series of long parallel electrodes embedded in a thin dielectric surface. The EC is driven by an oscillating electric potential of a sinusoidal form where the phase difference of the electric potential between neighboring electrodes is 180 degrees. We investigate the one- and two-dimensional nonlinear dynamics of a particle in an EC field. The form of the dimensionless equations of motion is codimension two, where the dimensionless control parameters are the interaction amplitude ($A$) and damping coefficient ($\\beta$). Our focus on the one-dimensional EC is primarily on a case of fixed $\\beta$ and relatively small $A$, which is characteristic of typical experimental conditions. We study the nonlinear behaviors of the one-dimensional EC through the analysis of bifurcations of fixed points. We analyze these bifurcations by using Floquet theory to determine the stability of the limit cycles associated with the fixed points in the Poincar\\'e sections. Some of the bifurcations lead to chaotic trajectories where we then determine the strength of chaos in phase space by calculating the largest Lyapunov exponent. In the study of the two-dimensional EC we independently look at bifurcation diagrams of variations in $A$ with fixed $\\beta$ and variations in $\\beta$ with fixed $A$. Under certain values of $\\beta$ and $A$, we find that no stable trajectories above the surface exists; such chaotic trajectories are described by a chaotic attractor, for which the the largest Lyapunov exponent is found. We show the well-known stable oscillations between two electrodes come into existence for variations in $A$ and the transitions between several distinct regimes of stable motion for variations in $\\beta$.
STEP Utility Data Release Form
Broader source: Energy.gov [DOE]
STEP Utility Data Release Form, from the Tool Kit Framework: Small Town University Energy Program (STEP).
GENERATING JACOBI FORMS HOWARD SKOGMAN
Skogman, Howard
GENERATING JACOBI FORMS HOWARD SKOGMAN Abstract. In this paper we explore the relationship between vector-valued modular forms and Jacobi forms and give explicit relations over various congruence subgroups. The main result is that a Jacobi form of square-free index on the full Jacobi group is uniquely
Jacobi Forms Victoria de Quehen
Goren, Eyal Z.
Jacobi Forms Victoria de Quehen McGill University Sept 2010 Victoria de Quehen Jacobi Forms #12;History of Jacobi Forms Notation Let e(x) denote e2ix for x C. Let q = e() and = e(z) where H and z C. Jacobi forms are meant to be a natural generalization of Jacobi theta series. Definition Let L
Derivation of an Applied Nonlinear Schroedinger Equation.
Pitts, Todd Alan; Laine, Mark Richard; Schwarz, Jens; Rambo, Patrick K.; Karelitz, David B.
2015-01-01T23:59:59.000Z
We derive from first principles a mathematical physics model useful for understanding nonlinear optical propagation (including filamentation). All assumptions necessary for the development are clearly explained. We include the Kerr effect, Raman scattering, and ionization (as well as linear and nonlinear shock, diffraction and dispersion). We explain the phenomenological sub-models and each assumption required to arrive at a complete and consistent theoretical description. The development includes the relationship between shock and ionization and demonstrates why inclusion of Drude model impedance effects alters the nature of the shock operator. Unclassified Unlimited Release
Canonical Duality Approach for Nonlinear Dynamical Systems
Ning Ruan; David Y. Gao
2012-06-12T23:59:59.000Z
This paper presents a canonical dual approach for solving a nonlinear population growth problem governed by the well-known logistic equation. Using the finite difference and least squares methods, the nonlinear differential equation is first formulated as a nonconvex optimization problem with unknown parameters. We then prove that by the canonical duality theory, this nonconvex problem is equivalent to a concave maximization problem over a convex feasible space, which can be solved easily to obtain global optimal solution to this challenging problem. Several illustrative examples are presented.
Adaptive Stabilization of Nonlinear Stochastic Systems
Florchinger, P. [URA CNRS No. 399, Departement de Mathematiques, UFR MIM, Universite de Metz, Ile du Saulcy, F 57045 Metz Cedex (France)
1998-07-15T23:59:59.000Z
The purpose of this paper is to study the problem of asymptotic stabilization in probability of nonlinear stochastic differential systems with unknown parameters. With this aim, we introduce the concept of an adaptive control Lyapunov function for stochastic systems and we use the stochastic version of Artstein's theorem to design an adaptive stabilizer. In this framework the problem of adaptive stabilization of a nonlinear stochastic system is reduced to the problem of asymptotic stabilization in probability of a modified system. The design of an adaptive control Lyapunov function is illustrated by the example of adaptively quadratically stabilizable in probability stochastic differential systems.
Nonlinear manipulation and control of matter waves
E. V. Goldstein; M. G. Moore; P. Meystre
1999-06-23T23:59:59.000Z
This paper reviews some of our recent results in nonlinear atom optics. In addition to nonlinear wave-mixing between matter waves, we also discuss the dynamical interplay between optical and matter waves. This new paradigm, which is now within experimental reach, has the potential to impact a number of fields of physics, including the manipulation and applications of atomic coherence, and the preparation of quantum entanglement between microscopic and macroscopic systems. Possible applications include quantum information processing, matter-wave holography, and nanofabrication.
Wang, Kangpeng; Ju, Yongfeng; He, Jin; Zhang, Long, E-mail: jwang@siom.ac.cn, E-mail: lzhang@siom.ac.cn; Wang, Jun, E-mail: jwang@siom.ac.cn, E-mail: lzhang@siom.ac.cn [Key Laboratory of Materials for High-Power Laser, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800 (China); Chen, Yu [Key Laboratory for Advanced Materials, Department of Chemistry, East China University of Science and Technology, 130 Meilong Road, Shanghai 200237 (China); Blau, Werner J. [Key Laboratory of Materials for High-Power Laser, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800 (China); School of Physics and the Centre for Research on Adaptive Nanostructures and Nanodevices (CRANN), Trinity College Dublin, Dublin 2 (Ireland)
2014-01-13T23:59:59.000Z
Laser propagation in a tandem structure comprising carbon nanotubes and phthalocyanines is studied by Z-scan method. Due to the different mechanisms of the two materials, the laser beam can be attenuated with different absorptivities, by changing the sequence of light passing through each material. Numerical simulations considering the effect of path length and the change of nonlinear coefficient within each material are conducted for understanding the distribution of laser intensity in the tandem system and hence, fitting of the asymmetric Z-scan curves. The results are helpful for the design of nonlinear optical devices comprising multiple nonlinear materials and mechanisms.
Stability analysis for class of switched nonlinear systems
Shaker, Hamid Reza
Stability analysis for a class of switched nonlinear systems is addressed in this paper. Two linear matrix inequality (LMI) based sufficient conditions for asymptotic stability are proposed for switched nonlinear systems. ...
Nonlinear adaptive internal model control using neural networks
Gandhi, Amit Krushnavadan
2001-01-01T23:59:59.000Z
(NIMC) strategy based on neural network models is presented for SISO processes. The nonlinearities of the dynamical system are modelled by neural network architectures. Recurrent neural networks can be used for both the identification and control of nonlinear...
Nonlinear Pricing Strategies and Market Concentration in the Airline Industry
Hernandez Garcia, Manuel A.
2010-10-12T23:59:59.000Z
This dissertation investigates the effect of market concentration on nonlinear pricing strategies in the airline industry. The study develops a theoretical nonlinear pricing model with both discrete product and consumer ...
Nonlinear springs with applications to flow regulation valves and mechanisms
Freeman, David Calvin
2008-01-01T23:59:59.000Z
This thesis focuses on the application of nonlinear springs for fluid flow control valves where geometric constraints, or fabrication technologies, limit the use of available solutions. Types of existing nonlinear springs ...
Orbital stability of periodic waves for the nonlinear Schrodinger equation
Gallay, Thierry
Orbital stability of periodic waves for the nonlinear SchrË?odinger equation Thierry Gallay Institut: Thierry Gallay, Thierry.Gallay@ujfÂgrenoble.fr Keywords: Nonlinear SchrË?odinger equation, periodic waves
Orbital stability of periodic waves for the nonlinear Schrodinger equation
Orbital stability of periodic waves for the nonlinear SchrÂ¨odinger equation Thierry Gallay Institut: Thierry Gallay, Thierry.Gallay@ujf-grenoble.fr Keywords: Nonlinear SchrÂ¨odinger equation, periodic waves
Orbital stability of periodic waves for the nonlinear Schrodinger equation
Boyer, Edmond
Orbital stability of periodic waves for the nonlinear Schr¨odinger equation Thierry Gallay Institut: Thierry Gallay, Thierry.Gallay@ujf-grenoble.fr Keywords: Nonlinear Schr¨odinger equation, periodic waves
Nonlinear stochastic system identification techniques for biological tissues/
Chen, Yi, S.M. Massachusetts Institute of Technology
2010-01-01T23:59:59.000Z
This research develops a device capable of measuring the nonlinear dynamic mechanical properties of human tissue in vivo. The enabling technology is the use of nonlinear stochastic system identification techniques in ...
Allen, Matthew S.
Identifying parameters of nonlinear structural dynamic systems using linear time- periodic nonlinearity. 1. Introduction Most dynamical systems behave nonlinearly in the most general scenario. This can point bifurcation [1], in rotor dynamic systems with bearing contact nonlinearities [2], in biomechanics
Background Simulation Experiment Conclusion Hysteresis in the Nonlinear Tunnelling of Light
Petta, Jason
Background Simulation Experiment Conclusion Hysteresis in the Nonlinear Tunnelling of Light Through of Light Through a Barrier #12;Background Simulation Experiment Conclusion Outline 1 Background Nonlinear of Light Through a Barrier #12;Background Simulation Experiment Conclusion Nonlinear Optics Nonlinear
A Finite Element Method for Fully Nonlinear and General Quasilinear Elliptic Problems
Pryer, Tristan
2011-01-01T23:59:59.000Z
We present a continuous finite element method for fully nonlinear elliptic equations. The tools we use are (1) a Newton linearisation, yielding a sequence of linear PDEs in nonvariational form and (2) the discretisation proposed in [LP11] allowing us to work directly on the strong form of a linear PDE. An added benefit to making use of this discretisation method is that a recovered (finite element) Hessian is a biproduct of the solution process. Benchmark numerical results illustrate the convergence properties of the scheme for some test problems.
Nonlinear Integral Equations for the Inverse Problem in Corrosion ...
2012-06-15T23:59:59.000Z
Nonlinear Integral Equations for the Inverse. Problem in Corrosion Detection from Partial. Cauchy Data. Fioralba Cakoni. Department of Mathematical Sciences, ...
Nonlinear Analysis of a Two DOF Piecewise Linear Aeroelastic System
Elgohary, Tarek Adel Abdelsalam
2011-10-21T23:59:59.000Z
model were introduced with special emphasis on numerical simulations. Dowell et al. (2003) also introduced a good review for the problem discussing nonlinear aeroelasticity and its effects on flight and its association with limit cycle oscillations... as a result of those nonlinearities. Aerodynamics nonlinearities were tackled separately by Ueda and Dowell (1984). A typical airfoil section with transonic aerodynamic nonlinearities was analyzed. The describing function method was used...
Form Date 4/4/01 Refrigerant Service Order Form
Russell, Lynn
Form Date 4/4/01 Refrigerant Service Order Form Service ID: Owner: Work Order #: Building: Date: Issued: Completed: Equipment ID: Technicians: Location: Model: Manufact: Serial #: Refrigerant Type Minor Maintenance Recovery Vacuum: __________Inches Dispose of Unit Refrigerant Conversion Major
VENDOR CONFERENCE ROOM REQUEST FORM Only One Event Per Form
Brent, Roger
VENDOR CONFERENCE ROOM REQUEST FORM Only One Event Per Form CONTACT INFORMATION Contact Name Signature ______________________________________________ (Required) REQUESTED CONFERENCE ROOM Date request for a conference room is not confirmed until you receive a confirmation from Meeting & Event
STUDENT FORM GENERAL RELEASE FORM & ASSUMPTION OF RISK
Schaefer, Marcus
STUDENT FORM GENERAL RELEASE FORM & ASSUMPTION OF RISK DePaul University School of Cinematic Arts I that while enrolling in the Course may be a requirement for achieving my degree in Cinematic Arts at De
The Fourth International Conference NONLINEAR DYNAMICS
Paris-Sud XI, Université de
The Fourth International Conference NONLINEAR DYNAMICS June, 19-22, 2013 PROCEEDINGS #12;Ministry of Mechanics NAS of Ukraine (Kiev, UKRAINE) McGill University (Montreal, CANADA) The Fourth International-617-669-100-6 4- The book of Proceedings includes extended abstracts of presentations on the Fourth International
Anomalous optical nonlinearity of dielectric nanodispersions
Milichko, V A; Dzyuba, V P; Kul'chin, Yurii N
2013-06-30T23:59:59.000Z
We present the results of studying the nonlinear optical response of nanodispersions of semiconductor (TiO{sub 2}, ZnO) and dielectric (SiO{sub 2}, Al{sub 2}O{sub 3}) nanoparticles of spherical, spheroidal and flake shape, suspended in polar and nonpolar dielectric matrices (water, isopropanol, polymethylsiloxane and transformer oil) by means of z-scanning in the field of low-intensity visible laser radiation. It is found that, unlike semiconductor nanoparticles and particles of spherical shape, flake-shaped SiO{sub 2} and Al{sub 2}O{sub 3} nanoparticles suspended in nonpolar matrices exhibit nonlinear optical response within the intensity interval from 0 to 500 W cm{sup -2} that vanishes at higher intensities. The diagrams of energy states of the optical electrons in nanoparticles that allow explanation of differences in the nonlinear-optical properties of nanodispersions are proposed. Good agreement between the experimental and theoretical dependences of nonlinear refractive indices and absorption coefficients on the intensity of radiation is observed. (optical nanostructures)
Nonlinear Contraction Tools for Constrained Optimization
Jonathan Soto; Jean-Jacques E. Slotine
2012-06-07T23:59:59.000Z
This paper describes new results linking constrained optimization theory and nonlinear contraction analysis. Generalizations of Lagrange parameters are derived based on projecting system dynamics on the tangent space of possibly time-varying constraints. The paper formalizes the intuition that, just as convexity rather than linearity is the key property in optimization, contraction rather than linearity is the key dynamical property in this context.
Random Walks and Nonlinear Dynamics in the
Frey, Erwin
in the experimental biophysics and state-of-the-art concepts of modern nonlinear dynamics and random-walk theory leading experts in cell biology and theoretical physics in order to tie recent advances: Visitors Program Mandy Lochar MPI for the Physics of Complex Systems Nöthnitzer Str. 38, D-01187 Dresden
NONLINEAR MAGNETIC LEVITATION OF AUTOMOTIVE ENGINE VALVES
Grizzle, Jessy W.
NONLINEAR MAGNETIC LEVITATION OF AUTOMOTIVE ENGINE VALVES K. Peterson, J.W. Grizzle, and A, the controller is designed for and implemented on an electromagnetic valve actuator for use in automotive engines on an electromagnetic valve actuator for use in the actuation of automotive engine valves. 2. ELECTROMAGNETIC VALVE
OUTPUT REGULATION OF NONLINEAR NEUTRAL SYSTEMS
Fridman, Emilia
OUTPUT REGULATION OF NONLINEAR NEUTRAL SYSTEMS Emilia Fridman1 Department of Electrical Engineering, Tel-Aviv University Ramat-Aviv, Tel-Aviv 69978, Israel emilia@eng.tau.ac.il Summary. Output regulation regulation, regulator equations, center manifold 1 Introduction One of the most important problems in control
Estimating the uncertainty in underresolved nonlinear dynamics
Chorin, Alelxandre; Hald, Ole
2013-06-12T23:59:59.000Z
The Mori-Zwanzig formalism of statistical mechanics is used to estimate the uncertainty caused by underresolution in the solution of a nonlinear dynamical system. A general approach is outlined and applied to a simple example. The noise term that describes the uncertainty turns out to be neither Markovian nor Gaussian. It is argued that this is the general situation.
Nonlinearity of Carbon Cycle Feedbacks KIRSTEN ZICKFELD
Schmittner, Andreas
properties and anthropogenic CO2. These findings suggest that metrics of carbon cycle feedback that pos, human activities have emitted large amounts of carbon dioxide (CO2) into the atmosphere (490 PgC fromNonlinearity of Carbon Cycle Feedbacks KIRSTEN ZICKFELD Canadian Centre for Climate Modelling
Interior Point Methods, Nonlinear Models & Parallelisation
Grothey, Andreas
;Overview Asset and Liability Management Models Mean-Variance Formulation/Stochastic Programming Structure Grothey IPM, Nonlinear Models & Parallelisation #12;Portfolio Optimization: Asset and Liability Management and Liability Management A set of assets J = {1, ..., J} is given (e.g. bonds, stock, real estate). At every
Lyapunov Functions and Feedback in Nonlinear Control
Maume-Deschamps, VÃ©ronique
Lyapunov Functions and Feedback in Nonlinear Control Francis Clarke Professeur `a l@igd.univ-lyon1.fr Summary. The method of Lyapunov functions plays a central role in the study to consider nonsmooth Lyapunov functions, even if the underlying control dynamics are themselves smooth. We
NONLINEAR MAGNETIC LEVITATION OF AUTOMOTIVE ENGINE VALVES
Stefanopoulou, Anna
NONLINEAR MAGNETIC LEVITATION OF AUTOMOTIVE ENGINE VALVES K. Peterson, J.W. Grizzle, and A.G. Stefanopoulou £ ½ £ University of Michigan, Ann Arbor Abstract: Position regulation of a magnetic levitation the region of attraction. The effects of magnetic saturation are included in the model, and accounted
ORTHOGONAL SPLINE COLLOCATION FOR NONLINEAR DIRICHLET PROBLEMS
Aitbayev, Rakhim
differential equations is given in [5]. In comparison to finite element Galerkin methods, collocation methodsORTHOGONAL SPLINE COLLOCATION FOR NONLINEAR DIRICHLET PROBLEMS RAKHIM AITBAYEV AND BERNARD BIALECKI1602 Abstract. We study the orthogonal spline collocation (OSC) solution of a homogeneous Dirich- let boundary
Optimal Execution with Nonlinear Impact Functions
Almgren, Robert F.
cost per share to be a power law function of the trading rate, with an arbitrary positive exponentOptimal Execution with Nonlinear Impact Functions and Trading-Enhanced Risk Robert F. Almgren October 2001 Abstract We determine optimal trading strategies for liquidation of a large single
Slow dynamics and anomalous nonlinear fast dynamics in diverse solids
Slow dynamics and anomalous nonlinear fast dynamics in diverse solids Paul Johnsona) Geophysics study of anomalous nonlinear fast dynamics and slow dynamics in a number of solids. Observations are presented from seven diverse materials showing that anomalous nonlinear fast dynamics ANFD and slow dynamics
Nonlinear Fourier Analysis The Direct & Inverse Scattering Transforms
Christov, Ivan C.
Nonlinear Fourier Analysis The Direct & Inverse Scattering Transforms for the Kortewegde Vries by ONR/NRL funding. Nonlinear Fourier Analysis p.1/15 #12;Background & Introduction (I) 1895: Korteweg equations known as the Scattering Transform. Nonlinear Fourier Analysis p.2/15 #12;Background
Nonlinear effect on quantum control for two-level systems
W. Wang; J. Shen; X. X. Yi
2009-06-05T23:59:59.000Z
The traditional quantum control theory focuses on linear quantum system. Here we show the effect of nonlinearity on quantum control of a two-level system, we find that the nonlinearity can change the controllability of quantum system. Furthermore, we demonstrate that the Lyapunov control can be used to overcome this uncontrollability induced by the nonlinear effect.
Movement Imitation with Nonlinear Dynamical Systems in Humanoid Robots
Baltes, Jacky
Movement Imitation with Nonlinear Dynamical Systems in Humanoid Robots Auke Jan Ijspeert & Jun movement plans based on a set of nonlinear differential equations with well-defined attrac- tor dynamics of an adjustable pattern generator built from simple nonlinear autonomous dynamical sys- tems. The desired
Nonlinear Hybrid Dynamical Systems: Modeling, Optimal Control, and Applications
Stryk, Oskar von
Nonlinear Hybrid Dynamical Systems: Modeling, Optimal Control, and Applications Martin Buss1¨unchen, Germany Abstract. Nonlinear hybrid dynamical systems are the main focus of this paper. A modeling Introduction The recent interest in nonlinear hybrid dynamical systems has forced the merger of two very
Parameterized Model Order Reduction of Nonlinear Dynamical Systems
Reif, Rafael
Parameterized Model Order Reduction of Nonlinear Dynamical Systems Brad Bond Research Laboratory reduction technique for non-linear systems. Our approach combines an existing non-parameterized trajectory piecewise linear method for non-linear systems, with an existing moment matching param- eterized technique
Learning Nonlinear Dynamical Systems using an EM Algorithm
Edinburgh, University of
Learning Nonlinear Dynamical Systems using an EM Algorithm Zoubin Ghahramani and Sam T. Roweis present a generalization of the EM algorithm for parameter estimation in nonlinear dynamical systems Nonlinear Dynamical Systems We examine inference and learning in discrete-time dynamical systems with hidden
Novel approximations for inference and learning in nonlinear dynamical systems
Heskes, Tom
Novel approximations for inference and learning in nonlinear dynamical systems Alexander Ypma #3 from marketing research. 1 Introduction Many real-world systems are nonlinear, dynamical and stochastic in nature. Inference and learning of nonlinear system models with hidden dynamics is a diÆcult task, which
Chaos in Nonlinear Dynamical Systems Helicopter Flight-data Analysis
Taylor, James H.
Chaos in Nonlinear Dynamical Systems Helicopter Flight-data Analysis James H. Taylor1 and S of chaos in nonlinear dynamical systems is discussed, and approaches for the identification of chaos can only occur in systems with nonlinear dynamics. The recognition of chaos in a complex dynamical
Nonlinear optics: The next decade Yuri S. Kivshar
Nonlinear optics: The next decade Yuri S. Kivshar Center for Ultra-high bandwidth Devices for Optical Systems (CUDOS), Nonlinear Physics Center, Research School of Physical Sciences and Engineering assembled of invited papers in key areas of nonlinear optics (Editors: J.M. Dudley and R.W. Boyd
Nonlinearly-enhanced energy transport in many dimensional quantum chaos
D. S. Brambila; A. Fratalocchi
2013-01-22T23:59:59.000Z
By employing a nonlinear quantum kicked rotor model, we investigate the transport of energy in multidimensional quantum chaos. Parallel numerical simulations and analytic theory demonstrate that the interplay between nonlinearity and Anderson localization establishes a perfectly classical correspondence in the system, neglecting any quantum time reversal. The resulting dynamics exhibits a nonlinearly-induced, enhanced transport of energy through soliton wave particles.
Approximate Method To Determine The Worst Case Performance Of A Nonlinear Dynamical System
Tongue, Benson H.; Packard, Andrew
1998-01-01T23:59:59.000Z
Case Performance of a Nonlinear Dynamical System Benson H.Case Performance of a Nonlinear Dynamical System Benson H.
Pinned modes in two-dimensional lossy lattices with local gain and nonlinearity
Ding, Edwin; Chow, K W; Malomed, Boris A
2014-01-01T23:59:59.000Z
We introduce a system with one or two amplified nonlinear sites ("hot spots", HSs) embedded into a two-dimensional linear lossy lattice. The system describes an array of evanescently coupled optical or plasmonic waveguides, with gain applied at selected HS cores. The subject of the analysis is discrete solitons pinned to the HSs. The shape of the localized modes is found in quasi-analytical and numerical forms, using a truncated lattice for the analytical consideration. Stability eigenvalues are computed numerically, and the results are supplemented by direct numerical simulations. In the case of self-focusing nonlinearity, the modes pinned to a single HS are stable or unstable when the nonlinearity includes the cubic loss or gain, respectively. If the nonlinearity is self-defocusing, the unsaturated cubic gain acting at the HS supports stable modes in a small parametric area, while weak cubic loss gives rise to a bistability of the discrete solitons. Symmetric and antisymmetric modes pinned to a symmetric se...
2011 Regional Competitions Student Forms
Miami, University of
records. If your team advances to the NOSB Finals, these forms will be required and you may resend.nosb.org Student Medical Information and Emergency Notification Form Name:_________________________________________ Phone Number:______________________ Medical Conditions or Previous Surgery
Christov, Ivan C.
Introduction Nonlinear Fourier Analysis Ocean Internal Waves KdV Hidden Solitons Closure Two case studies in nonlinear Fourier analysis: Ocean internal solitary waves and the ZabuskyKruskal solitons Ivan Engineering, The University of Sheffield September 10, 2010 Ivan C. Christov (NU) Nonlinear Fourier Analysis
Anlage, Steven
Training and Research Experiences in Nonlinear DynamicsTraining and Research Experiences Shew, Santiago Triana, Daniel Zimmerman, and John Rodgers #12;Training and Research Experiences in Nonlinear DynamicsTraining and Research Experiences in Nonlinear Dynamics TREND 2004TREND 2004 Our Goals: u
Anlage, Steven
Training and Research Experiences in Nonlinear DynamicsTraining and Research Experiences, Woodrow Shew, Daniel Sisan, Santiago Triana, Daniel Zimmerman #12;Training and Research Experiences in Nonlinear DynamicsTraining and Research Experiences in Nonlinear Dynamics TREND 2003TREND 2003 Our Goal: u
Assessor Training NVLAP Assessment Forms
NVLAP Assessor Training NVLAP Assessment Forms #12;Assessor Training 2009: NVLAP Assessment Forms 2 Summary ·Test Method Review Summary ·ProgramSpecific Checklists Examples #12;Assessor Training 2009: NVLAP are completed · Assessor Names, Dates, Lab Code #12;Assessor Training 2009: NVLAP Assessment Forms 4 NIST
Instability and Evolution of Nonlinearly Interacting Water Waves
P. K. Shukla; I. Kourakis; B. Eliasson; M. Marklund; L. Stenflo
2006-08-07T23:59:59.000Z
We consider the modulational instability of nonlinearly interacting two-dimensional waves in deep water, which are described by a pair of two-dimensional coupled nonlinear Schroedinger equations. We derive a nonlinear dispersion relation. The latter is numerically analyzed to obtain the regions and the associated growth rates of the modulational instability. Furthermore, we follow the long term evolution of the latter by means of computer simulations of the governing nonlinear equations and demonstrate the formation of localized coherent wave envelopes. Our results should be useful for understanding the formation and nonlinear propagation characteristics of large amplitude freak waves in deep water.
Enhanced Kerr electro-optic nonlinearity through cascaded Pockels effects
Li, Guang-Zhen; Jiang, Hao-Wei; Chen, Xian-Feng
2015-01-01T23:59:59.000Z
We demonstrated a large enhancement of Kerr electro-optic nonlinearity through cascaded Pockels effects in a domain inversion ferroelectric crystal. We designed a structure that can implement the cascaded Pockels effects and second-harmonic generation simultaneously. The energy coupling between the fundamental lights of different polarizations led to a large nonlinear phase shift, and thus an effective electro-optic nonlinear refractive index. The effective nonlinearity can be either positive or negative, causing the second-harmonic spectra to move towards the coupling center, which in turn, offered us a way to measure the effective electro-optic nonlinear refractive index. The corresponding enhanced Kerr electro-optic nonlinearity is more than three orders of magnitude higher than the intrinsic value. These results open a door to manipulate the nonlinear phase by applying external electric field instead of light intensity in noncentrosymmetric crystals.
Multiphase weakly nonlinear geometric optics for Schrodinger equations
Rémi Carles; Eric Dumas; Christof Sparber
2009-02-17T23:59:59.000Z
We describe and rigorously justify the nonlinear interaction of highly oscillatory waves in nonlinear Schrodinger equations, posed on Euclidean space or on the torus. Our scaling corresponds to a weakly nonlinear regime where the nonlinearity affects the leading order amplitude of the solution, but does not alter the rapid oscillations. We consider initial states which are superpositions of slowly modulated plane waves, and use the framework of Wiener algebras. A detailed analysis of the corresponding nonlinear wave mixing phenomena is given, including a geometric interpretation on the resonance structure for cubic nonlinearities. As an application, we recover and extend some instability results for the nonlinear Schrodinger equation on the torus in negative order Sobolev spaces.
Studies of nonlinear electrodynamics of high-temperature superconductors
Lam, Quan-Chiu H.
1991-08-01T23:59:59.000Z
Nonlinear electrodynamics of high-{Tc} superconductors are studied both theoretically and experimentally. For powdered samples, a novel model is presented in which the metallographically observed superconducting grains in the powder are modeled as superconducting current loops of various areas with weak links. Surprising harmonic generation behavior in an arc field, H{sub 1} cos({omega}t), is predicted by the model; the power at high harmonics show sharp dips almost periodic in a superposing dc magnetic field, revealing flux quantization in the prototype loops in the model. Such oscillation of the harmonic power in dc magnetic field P{sub nf}(H{sub dc}), is indeed experimentally observed in powdered YBa{sub 2}Cu{sub 3}O{sub 7}. Other experimental aspects also agree with model predictions. For bulk sintered cylindrical samples, a generalized critical state model is presented. In this model, the nonlinear electrodynamics are due to flux-pinning, somewhat similar to low-temperature type-II superconductors, but with a more generalized critical current densities' dependence on magnetic field -- J{sub c}(H){approximately}H{sub local}{sup -{beta}}, with {beta} being an adjustable parameter. Experiments in ac and dc magnetic fields on a sintered cylindrical rod of YBa{sub 2}Cu{sub 3}O{sub 7} yield unambiguous evidence of independent inter- and intragranular contributions to the complex harmonic permeability {tilde {mu}}{sub n} = {mu}{prime}{sub n} -i{mu}{double prime}{sub n}. Temperature- dependence measurements reveal that, while the intragranular supercurrents disappear at {Tc}{ge}91.2 K, the intergranular supercurrents disappear at T{ge}86.6 K. This result is, to our knowledge, the first clear measurement of the phase-locking temperature of the 3-D matrix formed by YBa{sub 2}Cu{sub 3}O{sub 7} grains, which are in electrical contact with one another through weak links.
Studies of nonlinear electrodynamics of high-temperature superconductors
Lam, Quan-Chiu H.
1991-08-01T23:59:59.000Z
Nonlinear electrodynamics of high-{Tc} superconductors are studied both theoretically and experimentally. For powdered samples, a novel model is presented in which the metallographically observed superconducting grains in the powder are modeled as superconducting current loops of various areas with weak links. Surprising harmonic generation behavior in an arc field, H{sub 1} cos({omega}t), is predicted by the model; the power at high harmonics show sharp dips almost periodic in a superposing dc magnetic field, revealing flux quantization in the prototype loops in the model. Such oscillation of the harmonic power in dc magnetic field P{sub nf}(H{sub dc}), is indeed experimentally observed in powdered YBa{sub 2}Cu{sub 3}O{sub 7}. Other experimental aspects also agree with model predictions. For bulk sintered cylindrical samples, a generalized critical state model is presented. In this model, the nonlinear electrodynamics are due to flux-pinning, somewhat similar to low-temperature type-II superconductors, but with a more generalized critical current densities` dependence on magnetic field -- J{sub c}(H){approximately}H{sub local}{sup -{beta}}, with {beta} being an adjustable parameter. Experiments in ac and dc magnetic fields on a sintered cylindrical rod of YBa{sub 2}Cu{sub 3}O{sub 7} yield unambiguous evidence of independent inter- and intragranular contributions to the complex harmonic permeability {tilde {mu}}{sub n} = {mu}{prime}{sub n} -i{mu}{double_prime}{sub n}. Temperature- dependence measurements reveal that, while the intragranular supercurrents disappear at {Tc}{ge}91.2 K, the intergranular supercurrents disappear at T{ge}86.6 K. This result is, to our knowledge, the first clear measurement of the phase-locking temperature of the 3-D matrix formed by YBa{sub 2}Cu{sub 3}O{sub 7} grains, which are in electrical contact with one another through weak links.
PROGRESS IN THE PEELING-BALLOONING MODEL OF ELMS: NUMERICAL STUDIES OF 3D NONLINEAR ELM DYNAMICS
SNYDER,P.B; WILSON,H.R; XU,X.Q
2004-11-01T23:59:59.000Z
Nonlinear simulations with the 3D electromagnetic two-fluid BOUT code are employed to study the dynamics of edge localized modes (ELMs) driven by intermediate wavelength peeling-ballooning modes. It is found that the early behavior of the modes is similar to expectations from linear, ideal peeling-ballooning mode theory, with the modes growing linearly at a fraction of the Alfven frequency. In the nonlinear phase, the modes grow explosively, forming a number of extended filaments which propagate rapidly from the outer closed flux region into the open flux region toward the outboard wall. Similarities to non-linear ballooning theory, as well as additional complexities are observed. Comparison to observations reveals a number of similarities. Implications of the simulations and proposals for the dynamics of the full ELM crash are discussed.
Sajjadi, Shahrdad G; Drullion, Frederique
2014-01-01T23:59:59.000Z
A review of three-dimensional waves on deep-water is presented. Three forms of three dimensionality, namely oblique, forced and spontaneous type, are identified. An alternative formulation for these three-dimensional waves is given through cubic nonlinear Schr\\"odinger equation. The periodic solutions of the cubic nonlinear Schr\\"odinger equation are found using Weierstrass elliptic $\\wp$ functions. It is shown that the classification of solutions depends on the boundary conditions, wavenumber and frequency. For certain parameters, Weierstrass $\\wp$ functions are reduced to periodic, hyperbolic or Jacobi elliptic functions. It is demonstrated that some of these solutions do not have any physical significance. An analytical solution of cubic nonlinear Schr\\"odinger equation with wind forcing is also obtained which results in how groups of waves are generated on the surface of deep water in the ocean. In this case the dependency on the energy-transfer parameter, from wind to waves, make either the groups of wav...
Scaling of chaos in strongly nonlinear lattices
Mulansky, Mario, E-mail: mulansky@pks.mpg.de [Department of Physics and Astronomy, Potsdam University, Karl-Liebknecht-Str. 24, D-14476 Potsdam-Golm (Germany) [Department of Physics and Astronomy, Potsdam University, Karl-Liebknecht-Str. 24, D-14476 Potsdam-Golm (Germany); Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Str. 38, D-01187 Dresden (Germany); Institut für Theoretische Physik, TU Dresden, Zellescher Weg 17, D-01069 Dresden (Germany)
2014-06-15T23:59:59.000Z
Although it is now understood that chaos in complex classical systems is the foundation of thermodynamic behavior, the detailed relations between the microscopic properties of the chaotic dynamics and the macroscopic thermodynamic observations still remain mostly in the dark. In this work, we numerically analyze the probability of chaos in strongly nonlinear Hamiltonian systems and find different scaling properties depending on the nonlinear structure of the model. We argue that these different scaling laws of chaos have definite consequences for the macroscopic diffusive behavior, as chaos is the microscopic mechanism of diffusion. This is compared with previous results on chaotic diffusion [M. Mulansky and A. Pikovsky, New J. Phys. 15, 053015 (2013)], and a relation between microscopic chaos and macroscopic diffusion is established.
Consistent nonlinear dynamics: identifying model inadequacy
Patrick E. McSharry; Leonard A. Smith
2004-03-09T23:59:59.000Z
Empirical modelling often aims for the simplest model consistent with the data. A new technique is presented which quantifies the consistency of the model dynamics as a function of location in state space. As is well-known, traditional statistics of nonlinear models like root-mean-square (RMS) forecast error can prove misleading. Testing consistency is shown to overcome some of the deficiencies of RMS error, both within the perfect model scenario and when applied to data from several physical systems using previously published models. In particular, testing for consistent nonlinear dynamics provides insight towards (i) identifying when a delay reconstruction fails to be an embedding, (ii) allowing state dependent model selection and (iii) optimising local neighbourhood size. It also provides a more relevant (state dependent) threshold for identifying false nearest neighbours.
On the Fock Transformation in Nonlinear Relativity
Bouda, A
2012-01-01T23:59:59.000Z
In this paper, we propose a new deformed Poisson brackets which leads to the Fock coordinate transformation by using an analogous procedure as in Deformed Special Relativity. We therefore derive the corresponding momentum transformation which is revealed to be different from previous results. Contrary to the earlier version of Fock's nonlinear relativity for which plane waves cannot be described, our resulting algebra keeps invariant for any coordinate and momentum transformations the four dimensional contraction $p_{\\mu} x^{\\mu} $, allowing therefore to associate plane waves for free particles. As in Deformed Special Relativity, we also derive a canonical transformation with which the new coordinates and momentum satisfy the usual Poisson brackets and therefore transform like the usual Lorentz vectors. Finally, we establish the dispersion relation for Fock's nonlinear relativity.
S. H. Hendi; S. Panahiyan; B. Eslam Panah
2015-06-24T23:59:59.000Z
In this paper, we take into account the black hole solutions of Einstein gravity with logarithmic and exponential forms of nonlinear electrodynamics. We consider $\\Lambda$ as a dynamical pressure to study the analogy of the black holes with the Van der Waals system. We plot P-v, T-v and G-T diagrams and investigate the phase transition of adS black holes in the canonical ensemble. We study the nonlinearity effects of electrodynamics and see how the power of nonlinearity affects critical behavior. We also investigate the effects of dimensionality on the critical values and analyze its crucial role. Moreover, we show the changes in the universal ratio P_{c}v_{c}/T_{c} for variation of different parameters. In addition, we make a comparison between linear and nonlinear electrodynamics and show that the lowest critical temperature belongs to Maxwell theory. Also, we make some arguments regarding to how power of nonlinearity brings the system to Schwarzschild-like and Reissner-Nordstrom-like limitations. Next, we study the critical behavior in context of heat capacity. We show that critical behavior of system is similar to one in phase diagrams of extended phase space. We point out that phase transition points of the extended phase space only appear as divergencies of heat capacity. We also extend the study of phase transitions through GTD method. We introduce two new metrics and show that divergencies of TRS of the new metrics coincide with phase transitions. The characteristic behavior of these divergencies, hence critical points is exactly the one that is obtained in extended phase space and heat capacity. We also introduce a new method for obtaining critical pressure and horizon radius by considering denominator of the heat capacity. We show that there are several benefits that make this approach favorable comparing to other ones.
System Identification: Time Varying and Nonlinear Methods
Majji, Manoranjan
2010-07-14T23:59:59.000Z
and Science; M.S., Texas A&M University Chair of Advisory Committee: Dr. John L. Junkins Novel methods of system identification are developed in this dissertation. First set of methods are designed to realize time varying linear dynamical system models... SYSTEM IDENTIFICATION: TIME VARYING AND NONLINEAR METHODS A Dissertation by MANORANJAN MAJJI Submitted to the Office of Graduate Studies of Texas A&M University in partial fulfillment of the requirements for the degree...
Nonlinear properties of dense coherent media
Mikhailov, Eugeniy Eugenievich
2004-09-30T23:59:59.000Z
as to style and content by: George R. Welch (Chair of Committee) Edward S. Fry (Member) M. Suhail Zubairy (Member) Paul S. Cremer (Member) Edward S. Fry (Head of Department) August 2003 Major Subject: Physics iii ABSTRACT Nonlinear Properties of Dense Coherent... Media. (August 2003) Eugeniy Eugenievich Mikhailov, B.S., Moscow State Engineering Physics Institute Chair of Advisory Committee: Dr. George R. Welch Properties of coherent media in the regime of electromagnetically induced trans- parency (EIT...
Chaos and Control in Nonlinear Bloch System
B. Rakshit; P. Saha; A. Roy. Chowdhury
2005-01-03T23:59:59.000Z
The dynamics of two nonlinear Bloch systems is studied from the viewpoint of bifur- cation and a particular parameter space has been explored for the stability analysis based on stability criterion. This enables the choice of the desired unstable periodic orbit from the numerous unstable ones present within the attractor through the pro- cess of closed return pairs. A generalized active control method have been discussed for two Bloch systems arising from di erent initial conditions.
Nonlinear diffusion in Acetone-Benzene Solution
Obukhovsky, Vjacheslav V
2010-01-01T23:59:59.000Z
The nonlinear diffusion in multicomponent liquids under chemical reactions influence has been studied. The theory is applied to the analysis of mass transfer in a solution of acetone-benzene. It has been shown, that the creation of molecular complexes should be taken into account for the explanation of the experimental data on concentration dependence of diffusion coefficients. The matrix of mutual diffusivities has been found and effective parameters of the system have been computed.
Nonlinear optical and conductive polymeric material
Barton, T.J.; Ijadi-Maghsooodi, S; Yi Pang.
1993-10-19T23:59:59.000Z
A polymeric material is described which exhibits nonlinear optical properties if undoped and conductive properties if doped. The polymer is prepared by polymerizing diethynylsilane compositions, the resulting polymeric material having a weight average molecular weight between about 20,000 and about 200,000 grams per mole. The polymer is prepared and catalytically polymerized by exposure to a catalyst, such as MoCl[sub 5] or W(CO)[sub 6].
Computing nonlinear force free coronal magnetic fields
T. Wiegelmann; T. Neukirch
2008-01-21T23:59:59.000Z
Knowledge of the structure of the coronal magnetic field is important for our understanding of many solar activity phenomena, e.g. flares and CMEs. However, the direct measurement of coronal magnetic fields is not possible with present methods, and therefore the coronal field has to be extrapolated from photospheric measurements. Due to the low plasma beta the coronal magnetic field can usually be assumed to be approximately force free, with electric currents flowing along the magnetic field lines. There are both observational and theoretical reasons which suggest that at least prior to an eruption the coronal magnetic field is in a nonlinear force free state. Unfortunately the computation of nonlinear force free fields is way more difficult than potential or linear force free fields and analytic solutions are not generally available. We discuss several methods which have been proposed to compute nonlinear force free fields and focus particularly on an optimization method which has been suggested recently. We compare the numerical performance of a newly developed numerical code based on the optimization method with the performance of another code based on an MHD relaxation method if both codes are applied to the reconstruction of a semi-analytic nonlinear force-free solution. The optimization method has also been tested for cases where we add random noise to the perfect boundary conditions of the analytic solution, in this way mimicking the more realistic case where the boundary conditions are given by vector magnetogram data. We find that the convergence properties of the optimization method are affected by adding noise to the boundary data and we discuss possibilities to overcome this difficulty.
Utility System Simulation: A Nonlinear Approach
Delk, S. R.
1988-01-01T23:59:59.000Z
SIMULATION: A NONLINEAR APPROACH STEPHEN R. DELK, P.E. Owner The MESA Company The Woodlands, Texas ABSTRACT Computer simulation of plant utility systems allows an engineer to rapidly I) analyze operation changes, 2) analyze design changes... whereby the engineer "builds? a specific plant model by arranging modules (boilers, turbines, deaerators, etc.) in a pattern that reflects the actual geographical location of the existing utility equipment. The computer prompts the engineer...
Nonlinear time-series analysis revisited
Elizabeth Bradley; Holger Kantz
2015-03-25T23:59:59.000Z
In 1980 and 1981, two pioneering papers laid the foundation for what became known as nonlinear time-series analysis: the analysis of observed data---typically univariate---via dynamical systems theory. Based on the concept of state-space reconstruction, this set of methods allows us to compute characteristic quantities such as Lyapunov exponents and fractal dimensions, to predict the future course of the time series, and even to reconstruct the equations of motion in some cases. In practice, however, there are a number of issues that restrict the power of this approach: whether the signal accurately and thoroughly samples the dynamics, for instance, and whether it contains noise. Moreover, the numerical algorithms that we use to instantiate these ideas are not perfect; they involve approximations, scale parameters, and finite-precision arithmetic, among other things. Even so, nonlinear time-series analysis has been used to great advantage on thousands of real and synthetic data sets from a wide variety of systems ranging from roulette wheels to lasers to the human heart. Even in cases where the data do not meet the mathematical or algorithmic requirements to assure full topological conjugacy, the results of nonlinear time-series analysis can be helpful in understanding, characterizing, and predicting dynamical systems.
Using the scalable nonlinear equations solvers package
Gropp, W.D.; McInnes, L.C.; Smith, B.F.
1995-02-01T23:59:59.000Z
SNES (Scalable Nonlinear Equations Solvers) is a software package for the numerical solution of large-scale systems of nonlinear equations on both uniprocessors and parallel architectures. SNES also contains a component for the solution of unconstrained minimization problems, called SUMS (Scalable Unconstrained Minimization Solvers). Newton-like methods, which are known for their efficiency and robustness, constitute the core of the package. As part of the multilevel PETSc library, SNES incorporates many features and options from other parts of PETSc. In keeping with the spirit of the PETSc library, the nonlinear solution routines are data-structure-neutral, making them flexible and easily extensible. This users guide contains a detailed description of uniprocessor usage of SNES, with some added comments regarding multiprocessor usage. At this time the parallel version is undergoing refinement and extension, as we work toward a common interface for the uniprocessor and parallel cases. Thus, forthcoming versions of the software will contain additional features, and changes to parallel interface may result at any time. The new parallel version will employ the MPI (Message Passing Interface) standard for interprocessor communication. Since most of these details will be hidden, users will need to perform only minimal message-passing programming.
Unstaggered-staggered solitons in two-component discrete nonlinear Schr\\"{o}dinger lattices
Malomed, Boris A; Van Gorder, Robert A
2012-01-01T23:59:59.000Z
We present stable bright solitons built of coupled unstaggered and staggered components in a symmetric system of two discrete nonlinear Schr\\"{o}dinger (DNLS) equations with the attractive self-phase-modulation (SPM) nonlinearity, coupled by the repulsive cross-phase-modulation (XPM) interaction. These mixed modes are of a "symbiotic" type, as each component in isolation may only carry ordinary unstaggered solitons. The results are obtained in an analytical form, using the variational and Thomas-Fermi approximations (VA and TFA), and the generalized Vakhitov-Kolokolov (VK) criterion for the evaluation of the stability. The analytical predictions are verified against numerical results. Almost all the symbiotic solitons are predicted by the VA quite accurately, and are stable. Close to a boundary of the existence region of the solitons (which may feature several connected branches), there are broad solitons which are not well approximated by the VA, and are unstable.
Non-linear Ion-wake Excitation by Ultra-relativistic Electron Wakefields
Sahai, Aakash A
2015-01-01T23:59:59.000Z
The excitation of a non-linear ion-wake by a train of ultra-relativistic plasmons is modeled and its use for a novel regime of positron acceleration is explored. Its channel-like structure is independent of the energy-source driving the bubble-shaped slowly-propagating high phase-velocity electron density waves. The back of the bubble electron compression sucks-in the ions and the space-charge within the bubble expels them, forming a near-void channel with on-axis and bubble-edge density-spikes. The channel-edge density-spike is driven radially outwards as a non-linear ion acoustic-wave by the wake electron thermal pressure. OSIRIS PIC simulations are used to study the ion-wake structure, its evolution and its use for positron acceleration.
Nonlinear-optical and structural properties of nanocrystalline silicon carbide films
Brodyn, M. S.; Volkov, V. I., E-mail: volkov@iop.kiev.ua; Lyakhovetskii, V. R.; Rudenko, V. I. [National Academy of Sciences of Ukraine, Institute of Physics (Ukraine); Puzilkov, V. M.; Semenov, A. V. [National Academy of Sciences of Ukraine, Institute of Monocrystals (Ukraine)
2012-02-15T23:59:59.000Z
The aim of this study is to investigate the nonlinearity of refraction in nanostructured silicon carbide films depending on their structural features (synthesis conditions for such films, substrate temperature during their deposition, concentration of the crystalline phase in the film, Si/C ratio of atomic concentrations in the film, and size of SiC nanocrystals formed in the film). The corresponding dependences are obtained, as well as the values of nonlinear-optical third-order susceptibility {chi}{sup (3)}({omega}; {omega}, -{omega}, {omega}) for various silicon polytypes (3C, 21R, and 27R) which exceed the value of {chi}{sup (3)} in bulk silicon carbide single crystals by four orders of magnitude.
Non-linear equations for electron waves in Maxwellian low-collision ion-electron plasmas
Soshnikov, V N
2008-01-01T23:59:59.000Z
The before described general principles and methodology of calculating electron wave propagation in homogeneous isotropic half-infinity slab of Maxwellian plasma with indefinite but in principal value sense taken integrals in characteristic equations, and the use of 2D Laplace transform method are applied to an evaluation of collision damping decrements of plane electron longitudinal and transverse waves. Damping decrement tends to infinity when the wave frequency tends to electron Langmuir frequency from above values. We considered recurrent relations for amplitudes of the overtones which form in their sum the all solution of the plasma wave non-linear equations including collision damping and quadratic (non-linear) terms. Collisionless damping at frequencies more the Langmuir one is possible only in non-Maxwellian plasmas.
Sharma, R.P.; Batra, K.; Verga, A.D. [Centre for Energy Studies, Indian Institute of Technology, New Delhi 110016 (India)
2005-02-01T23:59:59.000Z
Nonlinear evolution of modulational instability by using the nonlinear Schroedinger equation in one dimension reveals a periodic reoccurrence of initial conditions. The nonlinear Schroedinger equation is the adiabatic limit of Zakharov equations, which couples the electrostatic electron plasma wave and ion-acoustic wave propagation. In the present paper nonlinear evolution of modulational instability is investigated by using one-dimensional Zakharov equations numerically. A simplified model is predicted that establishes the fact that the effect of relaxing the condition of adiabaticity is drastic on the nonlinear evolution patterns of modulational instability. These evolutions are quite sensitive to initial conditions, Fermi-Pasta-Ulam recurrence is broken up and a chaotic state develops. Next, quantitative methods like calculation of Lyapunov exponents and their variation with wave number is used to study spatial and temporally chaotic behavior. It is shown that regular patterns with a periodic sequence in space and time and spatiotemporal chaos with irregular localized patterns are formed in different regions of unstable wave numbers.
Golovashchenko, Sergey Fedorovich (Beverly Hills, MI); Bonnen, John Joseph Francis (Milford, MI)
2012-03-20T23:59:59.000Z
An electro-hydraulic forming tool for forming a sheet metal blank in a one-sided die has first and second rigid rings that engage opposite sides of a sheet metal blank. The rigid rings are contained within slots on a die portion and a hydraulic force applicator portion of the forming tool. The seals are either resiliently biased by an elastomeric member or inherently resiliently biased into contact with the blank.
Detecting nonlinear acoustic waves in liquids with nonlinear dipole optical antennae
Maksymov, Ivan S
2015-01-01T23:59:59.000Z
Ultrasound is an important imaging modality for biological systems. High-frequency ultrasound can also (e.g., via acoustical nonlinearities) be used to provide deeply penetrating and high-resolution imaging of vascular structure via catheterisation. The latter is an important diagnostic in vascular health. Typically, ultrasound requires sources and transducers that are greater than, or of order the same size as the wavelength of the acoustic wave. Here we design and theoretically demonstrate that single silver nanorods, acting as optical nonlinear dipole antennae, can be used to detect ultrasound via Brillouin light scattering from linear and nonlinear acoustic waves propagating in bulk water. The nanorods are tuned to operate on high-order plasmon modes in contrast to the usual approach of using fundamental plasmon resonances. The high-order operation also gives rise to enhanced optical third-harmonic generation, which provides an important method for exciting the higher-order Fabry-Perot modes of the dipole...
Method of forming ceramic bricks
Poeppel, R.B.; Claar, T.D.; Silkowski, P.
1987-04-22T23:59:59.000Z
A method for forming free standing ceramic bricks for use as tritium breeder material is disclosed. Aqueous solutions of sodium carbonate and potassium carbonate are mixed with an organic hydrocolloid dispersion and powdered lithium carbonate, spray dried, and ceramic bricks formed by molding in a die and firing.
REFERRAL FORM PHONOLOGICAL AWARENESS CLINIC
Hickman, Mark
REFERRAL FORM PHONOLOGICAL AWARENESS CLINIC Concerns regarding communication Please return this form to: Clinical Administrator Email: clinic@cmds.canterbury.ac.nz Department of Communication Disorders Phone: 03-364-2408 Speech and Hearing Clinic Fax: 03-364-2760 University of Canterbury Private Bag
Internal Supplemental Compensation Approval Form
Clark, Bunny
Internal Supplemental Compensation Approval Form The Ohio State University Page 1 of 1 Internal Supplemental Compensation Approval Form UMC10036Revised 02/10 The salary of regular, full-time faculty, the individual may be eligible to receive supplemental compensation if release time is not a feasible option
AlGaAs-On-Insulator Nonlinear Photonics
Pu, Minhao; Semenova, Elizaveta; Yvind, Kresten
2015-01-01T23:59:59.000Z
The combination of nonlinear and integrated photonics has recently seen a surge with Kerr frequency comb generation in micro-resonators as the most significant achievement. Efficient nonlinear photonic chips have myriad applications including high speed optical signal processing, on-chip multi-wavelength lasers, metrology, molecular spectroscopy, and quantum information science. Aluminium gallium arsenide (AlGaAs) exhibits very high material nonlinearity and low nonlinear loss when operated below half its bandgap energy. However, difficulties in device processing and low device effective nonlinearity made Kerr frequency comb generation elusive. Here, we demonstrate AlGaAs-on-insulator as a nonlinear platform at telecom wavelengths. Using newly developed fabrication processes, we show high-quality-factor (Q>100,000) micro-resonators with integrated bus waveguides in a planar circuit where optical parametric oscillation is achieved with a record low threshold power of 3 mW and a frequency comb spanning 350 nm i...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports(Journal Article) | SciTech Connect Journal Article: X-rayContract Documents PPPL TheAtheForensic Studies The unique capabilities
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports(Journal Article) |govInstrumentsmfrirtA Journey InsideMicroBooNE LArTPC SarahArea:Security Complex ,default Sign InPage Errors
Nonlinear lower-hybrid oscillations in cold plasma
Maity, Chandan; Chakrabarti, Nikhil [Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Calcutta 700 064 (India); Sengupta, Sudip [Institute of Plasma Research, Bhat, Gandhinagar 382428 (India)
2010-08-15T23:59:59.000Z
In a fluid description nonlinear lower-hybrid oscillation have been studied in a cold quasineutral magnetized plasma using Lagrangian variables. An exact analytical solution with nontrivial space and time dependence is obtained. The solution demonstrates that under well defined initial and boundary conditions the amplitude of the oscillations increases due to nonlinearity and then comes back to its initial condition again. These solutions indicate a class of nonlinear transient structures in magnetized plasma.
Paris-Sud XI, Université de
CAFFEINE: Template-Free Symbolic Model Generation of Analog Circuits via Canonical Form Functions symbolic performance models of analog circuits with no prior specification of an equation template. [1] is a survey. Its main weakness is that it is limited to linear and weakly nonlinear circuits
A Method of Solving Certain Nonlinear Diophantine Equations
Florentin Smarandache
2009-10-12T23:59:59.000Z
In this paper we propose a method of solving a Nonlinear Diophantine Equation by converting it into a System of Diophantine Linear Equations.
Economic and Distributed Model Predictive Control of Nonlinear Systems
Heidarinejad, Mohsen
2012-01-01T23:59:59.000Z
hybrid systems. IEEE Transactions on Automatic Control, [6]nonlinear systems. IEEE Transactions on Automatic Control,of switched systems. IEEE Transactions on Automatic Control,
Proceeding of the International Conference on Nonlinear Evolution ...
Proceeding of the International Conference on Nonlinear Evolution Partial. Differential ..... |?|ds?1 ? m2. We note that relation (2.4) is of crucial importance for.
An embedding theorem and the Harnack inequality for nonlinear ...
2007-11-09T23:59:59.000Z
Nov 9, 2007 ... INEQUALITY FOR NONLINEAR SUBELLIPTIC EQUATIONS ... subelliptic spaces S1+; b) To prove a Harnack type inequality for nonnegative.
A Feasible Direction Algorithm for Nonlinear Second-Order Cone ...
2014-08-21T23:59:59.000Z
Aug 21, 2014 ... Publications. [9] E.H. Fukuda, P.J.S. Silva, and M. Fukushima. Differentiable exact penalty functions for nonlinear second-order cone programs.
Nonlinear laser energy depletion in laser-plasma accelerators
Shadwick, B.A.
2009-01-01T23:59:59.000Z
Nonlinear laser energydepletion in laser-plasma accelerators ? B. A. Shadwick,of intense, short-pulse lasers via excitation of plasma
Optimization Online - Efficient Direct Multiple Shooting for Nonlinear ...
Christian Kirches
2011-05-31T23:59:59.000Z
May 31, 2011 ... Efficient Direct Multiple Shooting for Nonlinear Model Predictive Control on Long Horizons. Christian Kirches (christian.kirches ***at*** ...
Finite Element Methods for Nonlinear Acoustics in Fluids
The non- linear terms in these wave equations imply that the sound speed ... ics, the finite element formulation of nonlinear acoustic equations for fluids has.
Nonlinear Landau damping of transverse electromagnetic waves in dusty plasmas
Tsintsadze, N. L. [E. Andronikashvili Institute of Physics, Tbilisi 0171 (Georgia); Department of Physics, Government College University, Lahore 54000 (Pakistan); Salam Chair in Physics, Government College University, Lahore 54000 (Pakistan); Chaudhary, Rozina [Department of Physics, Government College University, Lahore 54000 (Pakistan); Salam Chair in Physics, Government College University, Lahore 54000 (Pakistan); Shah, H. A. [Department of Physics, Government College University, Lahore 54000 (Pakistan); Murtaza, G. [Salam Chair in Physics, Government College University, Lahore 54000 (Pakistan)
2009-04-15T23:59:59.000Z
High-frequency transverse electromagnetic waves in a collisionless isotropic dusty plasma damp via nonlinear Landau damping. Taking into account the latter we have obtained a generalized set of Zakharov equations with local and nonlocal terms. Then from this coupled set of Zakharov equations a kinetic nonlinear Schroedinger equation with local and nonlocal nonlinearities is derived for special cases. It is shown that the modulation of the amplitude of the electromagnetic waves leads to the modulation instability through the nonlinear Landau damping term. The maximum growth rate is obtained for the special case when the group velocity of electromagnetic waves is close to the dust acoustic velocity.
Nonlinear Optics Quantum Computing with Circuit-QED
Prabin Adhikari; Mohammad Hafezi; J. M. Taylor
2012-11-20T23:59:59.000Z
One approach to quantum information processing is to use photons as quantum bits and rely on linear optical elements for most operations. However, some optical nonlinearity is necessary to enable universal quantum computing. Here, we suggest a circuit-QED approach to nonlinear optics quantum computing in the microwave regime, including a deterministic two-photon phase gate. Our specific example uses a hybrid quantum system comprising a LC resonator coupled to a superconducting flux qubit to implement a nonlinear coupling. Compared to the self-Kerr nonlinearity, we find that our approach has improved tolerance to noise in the qubit while maintaining fast operation.
Non-linear Seismic Soil Structure Interaction Method for Developing...
Office of Environmental Management (EM)
analysis techniques * "EFFECT ON NON-LINEAR SOIL- STRUCTURE INTERACTION DUE TO BASE SLAB UPLIFT ON THE SEISMIC RESPONSE OF A HIGH- TEMPERATURE GAS-COOLED REACTOR (HTGR)"...
On a hierarchy of nonlinearly dispersive generalized Korteweg...
Office of Scientific and Technical Information (OSTI)
On a hierarchy of nonlinearly dispersive generalized Korteweg - de Vries evolution equations Citation Details In-Document Search This content will become publicly available on...
Optimization Online - Nonlinear Optimisation in CHP-Applications
Michael Wigbels
2002-11-14T23:59:59.000Z
Nov 14, 2002 ... Nonlinear Optimisation in CHP-Applications. Michael Wigbels (wim ***at*** umsicht.fhg.de) Wilhelm Althaus (alt ***at*** umsicht.fhg.de)
Optimization Online - Global Optimization of Non-Linear Systems of ...
Nicholas Harkiolakis
2008-10-20T23:59:59.000Z
Oct 20, 2008 ... Global Optimization of Non-Linear Systems of Equations by Simulating the ... 10th WSEAS International Conference on Mathematical Methods, ...
Unsteady undular bores in fully nonlinear shallow-water theory
cloud formation in the atmospheric boundary layer (see, for instance, Rottman and Grimshaw 2001 states. Such a transition has the nonlinear oscillatory structure similar to classical undular bores
Nonlinear viscoelastic materials : bioinspired applications and new characterization measures
Ewoldt, Randy H. (Randy Harold)
2009-01-01T23:59:59.000Z
Viscoelastic materials, such as biomaterials and non-Newtonian fluids, typically experience mechanical loading which evokes a nonlinear rheological response. Rheologically complex materials can provide novel functionality ...
Electromagnetic deuteron form factors in point form relativistic quantum mechanics
N. A. Khokhlov
2015-03-10T23:59:59.000Z
A study of electromagnetic structure of the deuteron in the framework of relativistic quantum mechanics is presented. The deuteron form factors dependencies on the transferred 4-momentum Q are calculated. We compare results obtained with different realistic deuteron wave functions stemming from Nijmegen-I, Nijmegen-II, JISP16, CD-Bonn, Paris and Moscow (with forbidden states) potentials. A nucleon form factor parametrization consistent with modern experimental analysis was used as an input data.
Duality Groups, Automorphic Forms and Higher Derivative Corrections
Neil Lambert; Peter West
2007-02-21T23:59:59.000Z
We study the higher derivative corrections that occur in type II superstring theories in ten dimensions or less. Assuming invariance under a discrete duality group G(Z) we show that the generic functions of the scalar fields that occur can be identified with automorphic forms. We then give a systematic method to construct automorphic forms from a given group G(Z) together with a chosen subgroup H and a linear representation of G(Z). This construction is based on the theory of non-linear realizations and we find that the automorphic forms contain the weights of G. We also carry out the dimensional reduction of the generic higher derivative corrections of the IIB theory to three dimensions and find that the weights of E_8 occur generalizing previous results of the authors on M-theory. Since the automorphic forms of this theory contain the weights of E_8 we can interpret the occurrence of weights in the dimensional reduction as evidence for an underlying U-duality symmetry.
Nonlinear interferometry approach to photonic sequential logic
Hideo Mabuchi
2011-08-08T23:59:59.000Z
Motivated by rapidly advancing capabilities for extensive nanoscale patterning of optical materials, I propose an approach to implementing photonic sequential logic that exploits circuit-scale phase coherence for efficient realizations of fundamental components such as a NAND-gate-with-fanout and a bistable latch. Kerr-nonlinear optical resonators are utilized in combination with interference effects to drive the binary logic. Quantum-optical input-output models are characterized numerically using design parameters that yield attojoule-scale energy separation between the latch states.
Nonlinear interferometry approach to photonic sequential logic
Mabuchi, Hideo
2011-01-01T23:59:59.000Z
Motivated by rapidly advancing capabilities for extensive nanoscale patterning of optical materials, I propose an approach to implementing photonic sequential logic that exploits circuit-scale phase coherence for efficient realizations of fundamental components such as a NAND-gate-with-fanout and a bistable latch. Kerr-nonlinear optical resonators are utilized in combination with interference effects to drive the binary logic. Quantum-optical input-output models are characterized numerically using design parameters that yield attojoule-scale energy separation between the latch states.
Collision-dominated nonlinear hydrodynamics in graphene
Briscot, U; Gornyi, I V; Titov, M; Narozhny, B N; Mirlin, A D
2015-01-01T23:59:59.000Z
We present an effective hydrodynamic theory of electronic transport in graphene in the interaction-dominated regime. We derive the emergent hydrodynamic description from the microscopic Boltzmann kinetic equation taking into account dissipation due to Coulomb interaction and find the viscosity of Dirac fermions in graphene for arbitrary densities. The viscous terms have a dramatic effect on transport coefficients in clean samples at high temperatures. Within linear response, we show that viscosity manifests itself in the nonlocal conductivity as well as dispersion of hydrodynamic plasmons. Beyond linear response, we apply the derived nonlinear hydrodynamics to the problem of hot spot relaxation in graphene.
Nonlinear electrohydrodynamics of a viscous droplet
Salipante, Paul F
2013-01-01T23:59:59.000Z
A classic result due to G.I.Taylor is that a drop placed in a uniform electric field becomes a prolate or oblate spheroid, which is axisymmetrically aligned with the applied field. We report an instability and symmetry-breaking transition to obliquely oriented, steady and unsteady shapes in strong fields. Our experiments reveal novel droplet behaviors such as tumbling, shape oscillations, and chaotic dynamics even under creeping flow conditions. A theoretical model, which includes anisotropy in the polarization relaxation due to drop asphericity and charge convection due to drop fluidity, elucidates the interplay of interfacial flow and charging as the source of the rich nonlinear dynamics.
Nonlinear dynamics of the mammalian inner ear
Szalai, Robert; Homer, Martin
2015-01-01T23:59:59.000Z
A simple nonlinear transmission-line model of the cochlea with longitudinal coupling is introduced that can reproduce Basilar membrane response and neural tuning in the chinchilla. It is found that the middle ear has little effect on cochlear resonances, and hence conclude that the theory of coherent reflections is not applicable to the model. The model also provides an explanation of the emergence of spontaneous otoacoustic emissions (SOAEs). It is argued that SOAEs arise from Hopf bifurcations of the transmission-line model and not from localized instabilities. The paper shows that emissions can become chaotic, intermittent and fragile to perturbations.
Nonlinear Seismic Response Of Single Piles
Cairo, R.; Conte, E.; Dente, G. [University of Calabria, Dipartimento di Difesa del Suolo, Rende (Italy)
2008-07-08T23:59:59.000Z
In this paper, a method is proposed to analyse the seismic response of single piles under nonlinear soil condition. It is based on the Winkler foundation model formulated in the time domain, which makes use of p-y curves described by the Ramberg-Osgood relationship. The analyses are performed referring to a pile embedded in two-layer soil profiles with different sharp stiffness contrast. Italian seismic records are used as input motion. The calculated bending moments in the pile are compared to those obtained using other theoretical solutions.
NONLINEAR MODELS IN 2 +{epsilon} DIMENSIONS
Friedan, D.
1980-05-01T23:59:59.000Z
A generalization of the nonlinear ~ model is considered. The field takes values in a compact manifold M and the coupling is determined by a Riemannian metric on H. The model is renormalizable in 2 + ~ dimensions, the renormalization group acting on the infinite dimensional space of Riemannian metrics. Topological properties of the p-function and solutions of the fixed point equation R{sub ij}-?g{sub ij}=?{sub i}v{sub j}+?{sub j}v{sub i}, ?=±1 or 0, are discussed.
Azzali, Sara
2007-01-01T23:59:59.000Z
In this paper we construct the generalization of the Cheeger-Gromov L^2-rho-invariant in the case of families. It is in fact a differential form: given a family of Dirac-type operators along the fibres of a fibration M--> B and a second fibration of normal G-coverings of the fibres, the rho-form is defined as the difference between the eta-form of Bismut and Cheeger and an L^2-eta-form, whose meaning is here given. Some hypothesis on the spectrum of the family of operators on the covering fibres must be made, to construct the L^2-eta-form. The delicate point is in fact in the t--> \\infty-asymptotic of the heat operator for the Bismut superconnection on the covering. First we consider a strong hypothesis (unifom invertibility for the two families of operators): in this case the L^2-eta-form is well defined. This situation occurs for example in the case of a fibration of spin manifolds with vertical metric of positive scalar curvature. Here we also prove that rho-form is constant on the connected components of ...
Adaptive Backstepping for Trajectory Tracking of Nonlinearly Parameterized Class of Nonlinear
Paris-Sud XI, Université de
are characterized by nonlinearly parameterized models such as distillation columns, chemical reactors, friction Systems Hakim Bouadi, F. Mora-Camino Abstract--Adaptive control is of interest in control systems design design to develop an adaptive backstepping tracking control approach for a second-order class of single
Biswanath Rath; P. Mallick
2014-12-22T23:59:59.000Z
A new method for generating analytical expression of quantum Hamiltonian from non-linear differential equation with stationary energy level has been formulated.Further calculation of energy levels have been carried out analytically using and numerically using matrix diagonalisation method.
Annual Energy Outlook 2013 [U.S. Energy Information Administration (EIA)]
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 334 318 706Production% of41.1Diesel prices increase nationallyFAQs for Survey FormForms 805Form
Process to form mesostructured films
Brinker, C. Jeffrey (Albuquerque, NM); Anderson, Mark T. (Woodbury, MN); Ganguli, Rahul (Camarillo, CA); Lu, Yunfeng (Albuquerque, NM)
1999-01-01T23:59:59.000Z
This invention comprises a method to form a family of supported films film with pore size in the approximate range 0.8-20 nm exhibiting highly ordered microstructures and porosity derived from an ordered micellar or liquid-crystalline organic-inorganic precursor structure that forms during film deposition. Optically transparent, 100-500-nm thick films exhibiting a unique range of microstructures and uni-modal pore sizes are formed in seconds in a continuous coating operation. Applications of these films include sensors, membranes, low dielectric constant interlayers, anti-reflective coatings, and optical hosts.
Nonlinear dynamics of system oscillations modeled by a forced Van der Pol generalized oscillator
L. A. Hinvi; C. H. Miwadinou; A. V. Monwanou; J. B. Chabi Orou
2014-02-18T23:59:59.000Z
This paper considers the oscillations modeled by a forced Van der Pol generalized oscillator. These oscillations are described by a nonlinear differential equation of the form $ \\ddot{x}+x-\\varepsilon\\left(1-ax^2-b\\dot{x}^2\\right)\\dot{x}=E\\sin{{\\Omega}t}.$ The amplitudes of the forced harmonic, primary resonance superharmonic and subharmonic oscillatory states are obtained using the harmonic balance technique and the multiple time scales methods. We obtain also the hysteresis and jump phenomena in the system oscillations. Bifurcation sequences displayed by the model for each type of oscillatory states are performed numerically through the fourth-order Runge- Kutta scheme.
Egorov, E. N., E-mail: evgeniy.n.egorov@gmail.com; Koronovskii, A. A.; Kurkin, S. A.; Hramov, A. E. [Chernyshevsky Saratov State University (Russian Federation)] [Chernyshevsky Saratov State University (Russian Federation)
2013-11-15T23:59:59.000Z
Results of numerical simulations and analysis of the formation and nonlinear dynamics of the squeezed state of a helical electron beam in a vircator with a magnetron injection gun as an electron source and with additional electron deceleration are presented. The ranges of control parameters where the squeezed state can form in such a system are revealed, and specific features of the system dynamics are analyzed. It is shown that the formation of a squeezed state of a nonrelativistic helical electron beam in a system with electron deceleration is accompanied by low-frequency longitudinal dynamics of the space charge.
Residential California adobe : mud form
Daymond, Diana Leigh
1985-01-01T23:59:59.000Z
Northern California has a rich tradition of adobe architecture . Formed with earth, defined by site, climate and use, the adobe structures exemplify a building methodology in harmony with nature and the lifestyle of it's ...
Bayley, Hagan (Grafton, MA); Walker, Barbara J. (Auburn, MA); Chang, Chung-yu (Worcester, MA); Niblack, Brett (Nashville, TN); Panchal, Rekha (Shrewsbury, MA)
1998-01-01T23:59:59.000Z
An inactive pore-forming agent which is activated to lytic function by a condition such as pH, light, heat, reducing potential, or metal ion concentration, or substance such as a protease, at the surface of a cell.
FORMS AND INSTRUCTIONS FOR SUBMITTING
CALIFORNIA ENERGY COMMISSION FORMS AND INSTRUCTIONS FOR SUBMITTING RETAIL ELECTRICITY PRICE DATA Schwarzenegger, Governor #12;2 CALIFORNIA ENERGY COMMISSION Mignon Marks Principal Author Ruben Tavares Project Manager David Ashuckian Manager ELECTRICITY ANALYSIS OFFICE Scott W. Matthews Deputy Director ELECTRICITY
APPLICATION FORM For participating in
Subramanian, Venkat
APPLICATION FORM For participating in International Experience in Energy, Environmental EECE 401, 3 credits The Department of Energy, Environmental and Chemical Engineering is pleased lectures, technical projects and other visits. In 2012, the class will be visiting UNICAMP, Brazil
Wireless Device Request Form Department
Wireless Device Request Form Department: Employee ID #: St. Francis Xavier University TSG Contact Date: Part II - Employee Agreement I agree and acknowledge that I have read the Wireless Communications
Introduction to differential forms II
1998-04-13T23:59:59.000Z
left hand integral is precisely the induced voltage and the right side is related to the strength of the ... The electromagnetic field can be represented by a 2-form.
Li Liang; Huang Guoxiang [Department of Physics and Institute of Theoretical Physics, East China Normal University, Shanghai 200062 (China); State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200062, China and Institute of Nonlinear Physics, Zhejiang Normal University, Zhejiang 321004 (China)
2010-08-15T23:59:59.000Z
We present a systematic theoretical study to deal with linear and nonlinear light propagations in a Doppler-broadened three-level {Lambda} system via electromagnetically induced transparency (EIT), with incoherent population exchange between two lower energy levels taken into account. Through a careful analysis of base state and linear excitation, we show that the EIT condition of the system is given by |{Omega}{sub c}|{sup 2{gamma}}{sub 31}>>2{gamma}{sub 21{Delta}{omega}D}{sup 2}, where {Omega}{sub c} is half the Rabi frequency of the control field, {Delta}{omega}{sub D} is the Doppler width, and {gamma}{sub jl} is the decay rate of the coherence between states |j> and |l>. Under this condition, the effect of incoherent population exchange is insignificant, while dephasing dominates the decoherence of the system. This condition also ensures the validity of the weak nonlinear perturbation theory used in this work for solving the Maxwell-Bloch equations with inhomogeneous broadening. We then investigate the nonlinear propagation of the probe field and show that it is possible to form temporal optical solitons in the Doppler-broadened medium. Such solitons have ultraslow propagating velocity and can be generated in very low light power. The possibility of realizing (1+1)-dimensional and (2+1)-dimensional spatial optical solitons in the adiabatic regime of the system is also discussed.
Nonlinear Effects in Pulse Propagation through Doppler-Broadened Closed-Loop Atomic Media
Robert Fleischhaker; Jörg Evers
2007-11-26T23:59:59.000Z
Nonlinear effects in pulse propagation through a medium consisting of four-level double-$\\Lambda$-type systems are studied theoretically. We apply three continous-wave driving fields and a pulsed probe field such that they form a closed interaction loop. Due to the closed loop and the finite frequency width of the probe pulses the multiphoton resonance condition cannot be fulfilled, such that a time-dependent analysis is required. By identifying the different underlying physical processes we determine the parts of the solution relevant to calculate the linear and nonlinear response of the system. We find that the system can exhibit a strong intensity dependent refractive index with small absorption over a range of several natural linewidths. For a realistic example we include Doppler and pressure broadening and calculate the nonlinear selfphase modulation in a gas cell with Sodium vapor and Argon buffer gas. We find that a selfphase modulation of $\\pi$ is achieved after a propagation of few centimeters through the medium while the absorption in the corresponding spectral range is small.
Nonlinear dynamics analysis of a membrane Stirling engine: Starting and stable operation
Formosa, Fabien
2013-01-01T23:59:59.000Z
This paper presents the work devoted to the study of the operation of a miniaturized membrane Stirling engine. Indeed, such an engine relies on the dynamic coupling of the motion of two membranes to achieve a prime mover Stirling thermodynamic cycle. The modelling of the system introduces the large vibration amplitudes of the membrane as well as the nonlinear dissipative effects associated to the fluid flow within the engine. The nonlinearities are expressed as polynomial functions with quadratic and cubic terms. This paper displays the stability analysis to predict the starting of the engine and the instability problem which leads to the steady state behaviour. The centre manifold - normal form theory is used to obtain the simplest expression for the limit cycle amplitudes. The approach allows the reduction of the number of equations of the original system in order to obtain a simplified system, without loosing the dynamics of the original system as well as the contributions of non-linear terms. The model in...
Integrated Study of the Nonlinear Dynamics of Collisional Drift Wave Turbulence
George R. Tynan
2012-04-24T23:59:59.000Z
An existing linear magnetized plasma device, the Controlled Shear Decorrelation experiment (CSDX) was used to study the transition from a state of coherent wave like activity to a state of turbulent activity using the magnetic field and thus magnetization of the plasma as the control parameter. The results show the onset of coherent drift waves consistent with linear stability analysis. As the magnetization is raised, at first multiple harmonics appear, consistent with wave steepening. This period is then followed by the beginning of nonlinear interactions between different wave modes, which then results in the formation of narrow frequency but distributed azimuthal wave number fluctuations that are consistent with the formation of long-lived coherent nonlinear structures within the plasmas. These structures, termed quasicoherent modes, persist as the magnetic field is raised. Measurements of turbulent momentum flux indicate that the plasma is also forming an azimuthally symmetric radially sheared fluid flow that is nonlinearly driven by smaller scaled turbulent fluctuations. Further increases in the magnetic field result in the breakup of the quasicoherent mode, and the clear formation of the sheared flow. Numerical simulations of the experiment reproduce the formation of the sheared flow via a vortex merging process, and confirm that the experiment is providing the first clear experimental evidence of the formation of sheared zonal flows from drift turbulent fluctuations in a magnetized plasma.
Particle sizing by dynamic light scattering: non-linear cumulant analysis
Alastair G. Mailer; Paul S. Clegg; Peter N. Pusey
2015-04-24T23:59:59.000Z
We revisit the method of cumulants for analysing dynamic light scattering data in particle sizing applications. Here the data, in the form of the time correlation function of scattered light, is written as a series involving the first few cumulants (or moments) of the distribution of particle diffusion constants. Frisken (2001 Applied Optics 40, 4087) has pointed out that, despite greater computational complexity, a non-linear, iterative, analysis of the data has advantages over the linear least-squares analysis used originally. In order to explore further the potential and limitations of cumulant methods we analyse, by both linear and non-linear methods, computer-generated data with realistic `noise', where the parameters of the distribution can be set explicitly. We find that, with modern computers, non-linear analysis is straightforward and robust. The mean and variance of the distribution of diffusion constants can be obtained quite accurately for distributions of width (standard deviation/mean) up to about 0.6, but there appears to be little prospect of obtaining meaningful higher moments.
Reduction of dimension for nonlinear dynamical systems
Heather A. Harrington; Robert A. Van Gorder
2015-08-24T23:59:59.000Z
We consider reduction of dimension for nonlinear dynamical systems. We demonstrate that in some cases, one can reduce a nonlinear system of equations into a single equation for one of the state variables, and this can be useful for computing the solution when using a variety of analytical approaches. In the case where this reduction is possible, we employ differential elimination to obtain the reduced system. While analytical, the approach is algorithmic, and is implemented in symbolic software such as {\\sc MAPLE} or {\\sc SageMath}. In other cases, the reduction cannot be performed strictly in terms of differential operators, and one obtains integro-differential operators, which may still be useful. In either case, one can use the reduced equation to both approximate solutions for the state variables and perform chaos diagnostics more efficiently than could be done for the original higher-dimensional system, as well as to construct Lyapunov functions which help in the large-time study of the state variables. A number of chaotic and hyperchaotic dynamical systems are used as examples in order to motivate the approach.
Critical behaviour for scalar nonlinear waves
Davide Masoero; Andrea Raimondo; Pedro R. S. Antunes
2015-02-06T23:59:59.000Z
In the long-wave regime, nonlinear waves may undergo a phase transition from a smooth to a fast oscillatory behaviour. We study this phenomenon, commonly known as dispersive shock, in the light of Dubrovin's universality conjecture , and we argue that the transition can be described by a special solution of a model universal partial differential equation. This universal solution is constructed by means of a string equation. We provide a classification of universality classes and the explicit description of the transition by means of special functions, extending Dubrovin's universality conjecture to a wider class of equations. In particular, we show that Benjamin-Ono equation belongs to a novel universality class with respect to the ones known in the literature, and we compute its string equation exactly. We describe our results using the language of statistical mechanics, showing that dispersive shocks share many features of the tri-critical point in statistical systems, and building a dictionary between nonlinear waves and statistical mechanics.
Nonlinear Biochemical Signal Processing via Noise Propagation
Kyung Hyuk Kim; Hong Qian; Herbert M. Sauro
2013-09-10T23:59:59.000Z
Single-cell studies often show significant phenotypic variability due to the stochastic nature of intra-cellular biochemical reactions. When the numbers of molecules, e.g., transcription factors and regulatory enzymes, are in low abundance, fluctuations in biochemical activities become significant and such "noise" can propagate through regulatory cascades in terms of biochemical reaction networks. Here we develop an intuitive, yet fully quantitative method for analyzing how noise affects cellular phenotypes based on identifying a system's nonlinearities and noise propagations. We observe that such noise can simultaneously enhance sensitivities in one behavioral region while reducing sensitivities in another. Employing this novel phenomenon we designed three biochemical signal processing modules: (a) A gene regulatory network that acts as a concentration detector with both enhanced amplitude and sensitivity. (b) A non-cooperative positive feedback system, with a graded dose-response in the deterministic case, that serves as a bistable switch due to noise-induced bimodality. (c) A noise-induced linear amplifier for gene regulation that requires no feedback. The methods developed in the present work allow one to understand and engineer nonlinear biochemical signal processors based on fluctuation-induced phenotypes.
Method for forming metal contacts
Reddington, Erik; Sutter, Thomas C; Bu, Lujia; Cannon, Alexandra; Habas, Susan E; Curtis, Calvin J; Miedaner, Alexander; Ginley, David S; Van Hest, Marinus Franciscus Antonius Maria
2013-09-17T23:59:59.000Z
Methods of forming metal contacts with metal inks in the manufacture of photovoltaic devices are disclosed. The metal inks are selectively deposited on semiconductor coatings by inkjet and aerosol apparatus. The composite is heated to selective temperatures where the metal inks burn through the coating to form an electrical contact with the semiconductor. Metal layers are then deposited on the electrical contacts by light induced or light assisted plating.
Optimization Online - Nonlinear Optimization Submissions - 2013
Second-order necessary conditions in Pontryagin form for optimal control problems ... of Linear-Quadratic Optimal Control Problems for Two-Steps Systems
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AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 334DepartmentCivilianAffairs,SiteStories Stories MichiganEnergyÂ»Department of
Preserving Privacy in RFID Deployment RVS-Occ-04-01
Ladkin, Peter B.
management but also some potentially distressing social implications. When used inappropriately, RFID logistics it became used in road traffic systems during the 1970s, e.g., in Austria every lorry carries transmitted by a reading device for powe- ring. Research began in the 1990s at the Massachusetts Institute
Microsoft Word - OccMed Recompete Contract Management Plan APM Comments Addressed.docx
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports(Journal Article)41clothThe Bonneville PowerTariff Pages default SignEnergy Michigan:RECORDSeptember 17,Imaging All Rights436
Mukamel, Shaul
Path integral formulation of retardation effects in nonlinear optics Vladimir Chernyaka) and Shaul;accepted4 October 1993) The signaturesof retardation in nonlinear optical susceptibilitiesare studiedby optical signalsare usually'calculatedby first calculating a nonlinear susceptibility definedby expanding
Electromagnetic nucleon form factors in instant and point form
T. Melde; K. Berger; L. Canton; W. Plessas; R. F. Wagenbrunn
2007-09-30T23:59:59.000Z
We present a study of the electromagnetic structure of the nucleons with constituent quark models in the framework of relativistic quantum mechanics. In particular, we address the construction of spectator-model currents in the instant and point forms. Corresponding results for the elastic nucleon electromagnetic form factors as well as charge radii and magnetic moments are presented. We also compare results obtained by different realistic nucleon wave functions stemming from alternative constituent quark models. Finally, we discuss the theoretical uncertainties that reside in the construction of spectator-model transition operators.
Building Nonlinear Data Models with Self--Organizing Maps
Der, Ralf
Building Nonlinear Data Models with Self--Organizing Maps Ralf Der 1 , Gerd Balzuweit 1 , Michael.e. the observations are given by y = f (x) + j, where j is the noise which may or may not depend on x. Building a data the extraction of nonlinear data models in high dimensional spaces with modified selforganizing maps. Our algo
P and PI controllers for a nonlinear hydraulic network
De Persis, Claudio
constraints) arising in industrial applications. Current case study: Grundfos district heating system #12;P" district heating system #12;P and PI controllers for a nonlinear hydraulic network Sept. 20, 2007 Page 4 Results #12;P and PI controllers for a nonlinear hydraulic network Sept. 20, 2007 Page 5 District Heating
Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems
Schoeberl, Joachim
Numerical Analysis of Nonlinear Multiharmonic Eddy Current Problems F. Bachinger U. Langer J. Sch¨oberl April 2004 Abstract This work provides a complete analysis of eddy current problems, rang- ing from at providing a complete analysis of general nonlinear eddy current problems and their numerical treatment
Non-linear regression models for Approximate Bayesian Computation
Robert, Christian P.
Non-linear regression models for Approximate Bayesian Computation (ABC) Michael Blum Olivier ABC #12;Blum and OF (2009) suggest the use of non-linear conditional heteroscedastic regression models) Linear regression-based ABC can sometimes be improved #12;abc of ABC Using stochastic simulations
Asymptotics of Nonlinear Biharmonic Eigenvalue Problems of MEMS
Ward, Michael Jeffrey
Asymptotics of Nonlinear Biharmonic Eigenvalue Problems of MEMS Alan E. Lindsay and Michael J. Ward Problems of MEMS Overview of Nonlinear Eigenvalue Problems of MEMS Calculation of the Pull-In Voltage of the Maximal Solution Branch. Of more mathematical interest in PDE. CAIMS Â p. #12;A MEMS Capacitor d L
VISCOSITY SOLUTIONS OF FULLY NONLINEAR ELLIPTIC PATH DEPENDENT PDES
Paris-Sud XI, Université de
VISCOSITY SOLUTIONS OF FULLY NONLINEAR ELLIPTIC PATH DEPENDENT PDES ZHENJIE REN Abstract, inspired by [3], we define the viscosity solution, by using the nonlinear expectation. The paper contains , that for any bounded viscosity subsolution u1 and Key words and phrases. Path dependent PDEs, Dirichlet problem
Cosmological evolutions of $F(R)$ nonlinear massive gravity
De-Jun Wu
2014-03-24T23:59:59.000Z
Recently a new extended nonlinear massive gravity model has been proposed which includes the $F(R)$ modifications to dRGT model.We follow the $F(R)$ nonlinear massive gravity and study its implications on cosmological evolutions. We derive the critical points of the cosmic system and study the corresponding kinetics by performing the phase-plane analysis.
Title of dissertation: NONLINEAR DYNAMICS IN BIOLOGICAL SYSTEMS
Anlage, Steven
ABSTRACT Title of dissertation: NONLINEAR DYNAMICS IN BIOLOGICAL SYSTEMS: ACTIN NETWORKS AND GENE in several cases. #12;NONLINEAR DYNAMICS IN BIOLOGICAL SYSTEMS: ACTIN NETWORKS AND GENE NETWORKS by Andrew Department of Physics Two problems in biological systems are studied: (i) experiments in microscale
Uncertain dynamics in nonlinear chemical reactions Jichang Wang,a
Showalter, Kenneth
Uncertain dynamics in nonlinear chemical reactions Jichang Wang,a Hongyan Sun,b Stephen K. Scottc a dissociation reaction of the autocatalytic species, B ! X + Y, followed by a recombination reaction, X + Y ! C evolution of the system. 1. Introduction The study of nonlinear chemical kinetics has flourished in the past
Measurement of transient nonlinear refractive index in gases using xenon
Milchberg, Howard
Measurement of transient nonlinear refractive index in gases using xenon supercontinuum single measurement of ultrafast high field processes using modest energy lasers, with pump and probe pulses totaling) and instrument resolution. The ultrafast nonlinear Kerr effect in glass, and in Ar, N2, and N2O gases is measured
State-Feedback Optimal Controllers for Deterministic Nonlinear Systems
Won, Chang-Hee
State-Feedback Optimal Controllers for Deterministic Nonlinear Systems Chang-Hee Won*, Abstract-- A full-state feedback optimal control problem is solved for a general deterministic nonlinear system)777-3368, won@und.edu II. HAMILTON-JACOBI EQUATION AND OPTIMAL CONTROLLER Consider the following system, dx
Revised CPA method to compute Lyapunov functions for nonlinear systems
Hafstein, Sigurður Freyr
Revised CPA method to compute Lyapunov functions for nonlinear systems Peter A. Giesla , Sigurdur F in computing a CPA Lyapunov function for such a system. The size of the domain of the computed CPA Lyapunov method uses linear programming to compute Continuous and Piecewise Affine Lyapunov function for nonlinear
Evolutionary Non-linear Great Deluge for University Course Timetabling
Landa-Silva, Dario
Evolutionary Non-linear Great Deluge for University Course Timetabling Dario Landa-Silva and Joe-linear great deluge algorithm in which evolutionary opera- tors are incorporated. First, we generate of the evo- lutionary operators. Our results show that the hybrid between non-linear great deluge
Nonlinear Control of a Wind Turbine Sven Creutz Thomsen
Nonlinear Control of a Wind Turbine Sven Creutz Thomsen Kongens Lyngby 2006 #12;Technical describes analysis of various nonlinear control methods for controlling a wind turbine. High speed wind descriptions 7 2.1 Variable speed wind turbine . . . . . . . . . . . . . . . . . . . . . . . . 8 2.2 Constant
Nonlinear Control of a Wind Turbine Sven Creutz Thomsen
Nonlinear Control of a Wind Turbine Sven Creutz Thomsen Kongens Lyngby 2006 #12; Technical describes analysis of various nonlinear control methods for controlling a wind turbine. High speed wind Modeling and analysis 5 2 Model descriptions 7 2.1 Variable speed wind turbine
Nonlinear Flight Control Using Neural Networks and Feedback Linearization
Nonlinear Flight Control Using Neural Networks and Feedback Linearization Byoung So0 Kim1, Anthony approaches to aircraft flight control involve linearization of these dynamicsabout a set of pre eliminate many of the undesirable features of linear control. Control of nonlinear systems by inverting
ON THE STATE AGREEMENT PROBLEM FOR MULTIPLE NONLINEAR DYNAMICAL
Maggiore, Manfredi
agreement problem of continuous time nonlinear interconnected systems, which can de- scribe a numberON THE STATE AGREEMENT PROBLEM FOR MULTIPLE NONLINEAR DYNAMICAL SYSTEMS Zhiyun Lin, Bruce Francis, ON Canada M5S 3G4 Abstract: This paper studies the state agreement problem with the objective to ensure
Nonlinear viscoelastic characterization of thin films using dynamic mechanical analysis
Payne, Debbie Flowers
1993-01-01T23:59:59.000Z
manner similar to the traditional time temperature superposition principle for linear viscoelastic materials where stress systematically compresses or expands the time scale. From dynamic mechanical testing and analysis, the experimental viscoelastic.... D. Nonlinear Characterization of Thin Film Materials. . . . Nonlinear Viscoelastic Models . Dynamic Mechanical Testing. Summary of Literature Reviewed. 5 5 7 8 III THEORETICAL ANALYSIS . A. B. C. D. Conversion of Experimental Values...
NEURAL NETWORK ASSISTED NONLINEAR CONTROLLER FOR A BIOREACTOR
Efe, Mehmet Önder
343 NEURAL NETWORK ASSISTED NONLINEAR CONTROLLER FOR A BIOREACTOR Mehmet Önder Efe Electrical Istanbul, 80815, Turkey ABSTRACT In this paper, design of a nonlinear controller for a Bioreactor Benchmark of such a simplified model is unlikely to result in a satisfactory performance. A prime example is a bioreactor
Ris-R-1397(EN) Dynamics in Nonlinear Optical
Risø-R-1397(EN) Dynamics in Nonlinear Optical Polymers Kim Giessmann Jespersen Risø National of dynamics in nonlinear optical polymers. Polymers attract considerable attention in search for new optical materials due to low cost, ease of fabrication, and the possibility of designing specific optical properties
Nonlinear Model Predictive Control of an Omnidirectional Mobile Robot
Zell, Andreas
, University of TÃ¼bingen, Sand 1, 72076 TÃ¼bingen, Germany Abstract. This paper focuses on motion controlNonlinear Model Predictive Control of an Omnidirectional Mobile Robot Xiang LI a,1 , Kiattisin problems of an omnidirectional robot based on the Nonlinear Model Predictive Control (NMPC) method
WAVELET TRANSFORMS FOR NONLINEAR SIGNAL PROCESSING Robert Nowak
domain o ers signi cant theoretical advantages over classical time or frequency domain approaches to non of higher-order statistics. Both structures are based on a two-step decom- position consisting of a linear cients. While most existing approaches to nonlinear signal processing characterize the nonlinearity
Nonlinear Electrical Simulation of High-Power Synchronous Generator System
Wu, Thomas
power density, the generator operates in nonlinear region of the magnetic circuit. Magnetic Finite for motor simulation [I]. Fardoun simulated permanent-magnet machine drive system using SPlCE [2]. NatarajanNonlinear Electrical Simulation of High-Power Synchronous Generator System Jie Chen and Thomas Wu
CHARACTERIZATION OF MOLECULAR EXCITED STATES FOR NONLINEAR OPTICS
Collins, Gary S.
CHARACTERIZATION OF MOLECULAR EXCITED STATES FOR NONLINEAR OPTICS By ROBERT J. KRUHLAK;CHARACTERIZATION OF MOLECULAR EXCITED STATES FOR NONLINEAR OPTICS Abstract by Robert J. Kruhlak, Ph.D. Department on the fabrication and characterization of dye-doped thin films and multimode fibers. We use several tradi- tional
Nonlinear Model Predictive Control of Municipal Solid Waste Combustion Plants
Van den Hof, Paul
Nonlinear Model Predictive Control of Municipal Solid Waste Combustion Plants M. Leskens , R.h.Bosgra@tudelft.nl, p.m.j.vandenhof@tudelft.nl Keywords : nonlinear model predictive control, municipal solid waste combus- tion Abstract : Combustion of municipal solid waste (MSW; = household waste) is used to reduce
Wavelet-Based Transformations for Nonlinear Signal Processing
Nowak, Robert
Wavelet-Based Transformations for Nonlinear Signal Processing Robert D. Nowak Department.dsp.rice.edu Submitted to IEEE Transactions on Signal Processing, February 1997 Revised June 1998 EDICS Numbers: SP-2 in the analysis and processing of real-world signals. In this paper, we introduce two new structures for nonlinear
A NONLINEAR LEARNING CONTROL APPROACH FOR A CEMENT MILLING PROCESS
Efe, Mehmet Önder
A NONLINEAR LEARNING CONTROL APPROACH FOR A CEMENT MILLING PROCESS 1 OGUZ H. DAGCI, 2 M. ÖNDER EFE, control of a cement milling circuit is studied with time-varying set values, time-varying plant parameters popularity since the field of nonlinear control still does not offer systematized procedures. Cement mill
Numerical and experimental investigation of nonlinear properties of rubber absorber
Paris-Sud XI, Université de
Numerical and experimental investigation of nonlinear properties of rubber absorber in rail, Shanghai, 201804 Abstract: A dynamic nonlinear model of rubber absorber in railway fastening is proposed in this paper based on a superposition principal demonstrating that the restoring force of rubber components
Generalized nonlinear oscillators with quasi-harmonic behaviour: classical solutions
C. Quesne
2015-01-27T23:59:59.000Z
The classical nonlinear oscillator, proposed by Mathews and Lakshmanan in 1974 and including a position-dependent mass in the kinetic energy term, is generalized in two different ways by adding an extra term to the potential. The solutions of the Euler-Lagrange equation are shown to exhibit richer behaviour patterns than those of the original nonlinear oscillator.
Nonlinear finite-Larmor-radius effects in reduced fluid models
Brizard, A. J. [Department of Chemistry and Physics, Saint Michael's College, Colchester, Vermont 05439 (United States); Denton, R. E.; Rogers, B. [Department of Physics and Astronomy, Dartmouth College, Hanover, New Hampshire 03755 (United States); Lotko, W. [Thayer School of Engineering, Dartmouth College, Hanover, New Hampshire 03755 (United States)
2008-08-15T23:59:59.000Z
The polarization magnetization effects associated with the dynamical reduction leading to the nonlinear gyrokinetic Vlasov-Maxwell equations are shown to introduce nonlinear finite-Larmor-radius (FLR) effects into a set of nonlinear reduced-fluid equations previously derived by the Lagrangian variational method [A. J. Brizard, Phys. Plasmas 12, 092302 (2005)]. These intrinsically nonlinear FLR effects, which are associated with the transformation from guiding-center phase-space dynamics to gyrocenter phase-space dynamics, are different from the standard FLR corrections associated with the transformation from particle to guiding-center phase-space dynamics. We also present the linear dispersion relation results from a nonlinear simulation code using these reduced-fluid equations. The simulation results (in both straight dipole geometries) demonstrate that the equations describe the coupled dynamics of Alfven sound waves and that the total simulation energy is conserved.
Dynamic time expansion and compression using nonlinear waveguides
Findikoglu, Alp T. (Los Alamos, NM); Hahn, Sangkoo F. (Los Alamos, NM); Jia, Quanxi (Los Alamos, NM)
2004-06-22T23:59:59.000Z
Dynamic time expansion or compression of a small-amplitude input signal generated with an initial scale is performed using a nonlinear waveguide. A nonlinear waveguide having a variable refractive index is connected to a bias voltage source having a bias signal amplitude that is large relative to the input signal to vary the reflective index and concomitant speed of propagation of the nonlinear waveguide and an electrical circuit for applying the small-amplitude signal and the large amplitude bias signal simultaneously to the nonlinear waveguide. The large amplitude bias signal with the input signal alters the speed of propagation of the small-amplitude signal with time in the nonlinear waveguide to expand or contract the initial time scale of the small-amplitude input signal.
Dynamic Time Expansion and Compression Using Nonlinear Waveguides
Findikoglu, Alp T.; Hahn, Sangkoo F.; Jia, Quanxi
2004-06-22T23:59:59.000Z
Dynamic time expansion or compression of a small amplitude input signal generated with an initial scale is performed using a nonlinear waveguide. A nonlinear waveguide having a variable refractive index is connected to a bias voltage source having a bias signal amplitude that is large relative to the input signal to vary the reflective index and concomitant speed of propagation of the nonlinear waveguide and an electrical circuit for applying the small amplitude signal and the large amplitude bias signal simultaneously to the nonlinear waveguide. The large amplitude bias signal with the input signal alters the speed of propagation of the small-amplitude signal with time in the nonlinear waveguide to expand or contract the initial time scale of the small-amplitude input signal.
Perturbation Theory From Automorphic Forms
Neil Lambert; Peter West
2010-05-12T23:59:59.000Z
Using our previous construction of Eisenstein-like automorphic forms we derive formulae for the perturbative and non-perturbative parts for any group and representation. The result is written in terms of the weights of the representation and the derivation is largely group theoretical. Specialising to the E_{n+1} groups relevant to type II string theory and the representation associated with node n+1 of the E_{n+1} Dynkin diagram we explicitly find the perturbative part in terms of String Theory variables, such as the string coupling g_d and volume V_n. For dimensions seven and higher we find that the perturbation theory involves only two terms. In six dimensions we construct the SO(5,5) automorphic form using the vector representation. Although these automorphic forms are generally compatible with String Theory, the one relevant to R^4 involves terms with g_d^{-6} and so is problematic. We then study a constrained SO(5,5) automorphic form, obtained by summing over null vectors, and compute its perturbative part. We find that it is consistent with String Theory and makes precise predictions for the perturbative results. We also study the unconstrained automorphic forms for E_6 in the 27 representation and E_7 in the 133 representation, giving their perturbative part and commenting on their role in String Theory.
Student Refund Appeal Form Use this form if
Karsai, Istvan
documentation. Retain a copy for yourself and return completed form to: ETSU Office of the Registrar Box 70561 101 Burgin Dossett Hall Johnson City, Tennessee 37614 To review ETSU policies for refunds please go to: http://www.etsu.edu/fa/fs/bursar/tuitioninfo/Fee_Adj_Refund_Policy.aspx Date: Name: Please choose one
Method of forming structural heliostat
Anderson, Alfred J. (Littleton, CO)
1984-06-26T23:59:59.000Z
In forming a heliostat having a main support structure and pivoting and tilting motors and gears and a mirror module for reflecting solar energy onto a collector, the improvement characterized by a method of forming the mirror module in which the mirror is laid upon a solid rigid supporting bed in one or more sections, with or without focusing; a mirror backing sheet is applied by first applying respective thin layers of silicone grease and, thereafter, progressively rolling application to eliminate air bubbles; followed by affixing of a substrate assembly to the mirror backing sheet to form a mirror module that does not curve because of thermally induced stresses and differential thermal expansion or contraction effects. The silicone grease also serves to dampen fluttering of the mirror and protect the mirror backside against adverse effects of the weather. Also disclosed are specific details of preferred embodiments.
Substrate system for spray forming
Chu, Men G. (Export, PA); Chernicoff, William P. (Harrisburg, PA)
2002-01-01T23:59:59.000Z
A substrate system for receiving a deposit of sprayed metal droplets including a movable outer substrate on which the sprayed metal droplets are deposited. The substrate system also includes an inner substrate disposed adjacent the outer substrate where the sprayed metal droplets are deposited on the outer substrate. The inner substrate includes zones of differing thermal conductivity to resist substrate layer porosity and to resist formation of large grains and coarse constituent particles in a bulk layer of the metal droplets which have accumulated on the outer substrate. A spray forming apparatus and associated method of spray forming a molten metal to form a metal product using the substrate system of the invention is also provided.
Substrate system for spray forming
Chu, Men G. (Export, PA); Chernicoff, William P. (Harrisburg, PA)
2000-01-01T23:59:59.000Z
A substrate system for receiving a deposit of sprayed metal droplets including a movable outer substrate on which the sprayed metal droplets are deposited. The substrate system also includes an inner substrate disposed adjacent the outer substrate where the sprayed metal droplets are deposited on the outer substrate. The inner substrate includes zones of differing thermal conductivity to resist substrate layer porosity and to resist formation of large grains and coarse constituent particles in a bulk layer of the metal droplets which have accumulated on the outer substrate. A spray forming apparatus and associated method of spray forming a molten metal to form a metal product using the substrate system of the invention is also provided.
Group Study Room Policy and Reservation Form
Reynolds, Albert C.
to the Group Study Reservation Form. Fill out the web form and click "Send" to submit the request. A confirming
CONTACTS FOR INFORMATION MANAGEMENT: Forms, Information Collection...
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A taxonomy of descent algorithms for nonlinear programs and variational inequalities
Patriksson, Michael
descent algorithms for nonlinear programs and variational inequalit* *ies, based, classification, nonlinear programs, variational inequalitie* *s, descent algo- rithms, cost approximation. 1
Laser having a nonlinear phase conjugating reflector
Wang, V.; Yariv, A.
1980-11-11T23:59:59.000Z
A laser is described which self-corrects for distortions introduced into the laser beam wavefronts by aberrations and time-varying phenomena internal to the laser. The improved laser includes a partially transmissive first reflecting element, an aperture stop, a lasing medium and a nonlinear phase conjugate reflecting device as the second reflecting element. During laser operation, aberrated wavefronts impinging upon the second reflecting element are reflected as the phase conjugate waveform thereof. The aperture stop restricts laser operation to the fundamental mode which allows only corrected, unaberrated waves to pass through the aperture stop and to subsequently exit the laser. Four embodiments are described utilizing stimulated brillouin scattering (Sbs), four-wave mixing, three-wave mixing and photon echo devices as the second reflecting element.
Nonlinear transmission line based electron beam driver
French, David M.; Hoff, Brad W.; Tang Wilkin; Heidger, Susan; Shiffler, Don [Directed Energy Directorate, Air Force Research Laboratory, Kirtland AFB, New Mexico 87117 (United States); Allen-Flowers, Jordan [Program in Applied Mathematics, University of Arizona, Tucson, Arizona 85721 (United States)
2012-12-15T23:59:59.000Z
Gated field emission cathodes can provide short electron pulses without the requirement of laser systems or cathode heating required by photoemission or thermionic cathodes. The large electric field requirement for field emission to take place can be achieved by using a high aspect ratio cathode with a large field enhancement factor which reduces the voltage requirement for emission. In this paper, a cathode gate driver based on the output pulse train from a nonlinear transmission line is experimentally demonstrated. The application of the pulse train to a tufted carbon fiber field emission cathode generates short electron pulses. The pulses are approximately 2 ns in duration with emission currents of several mA, and the train contains up to 6 pulses at a frequency of 100 MHz. Particle-in-cell simulation is used to predict the characteristic of the current pulse train generated from a single carbon fiber field emission cathode using the same technique.
Nonlinear interferometry with Bose-Einstein condensates
Tacla, Alexandre B. [Center for Quantum Information and Control, MSC 07-4220, University of New Mexico, Albuquerque, New Mexico 87131-0001 (United States); Boixo, Sergio [Institute for Quantum Information, California Institute of Technology, Pasadena, California 91125 (United States); Datta, Animesh [Clarendon Laboratory, Department of Physics, University of Oxford, OX1 3PU (United Kingdom); Shaji, Anil [School of Physics, Indian Institute of Science Education and Research, College of Engineering Trivandrum Campus, Thiruvananthapuram, Kerala 695016 (India); Caves, Carlton M. [Center for Quantum Information and Control, MSC 07-4220, University of New Mexico, Albuquerque, New Mexico 87131-0001 (United States); School of Mathematics and Physics, University of Queensland, Brisbane, Queensland 4072 (Australia)
2010-11-15T23:59:59.000Z
We analyze a proposed experiment [Boixo et al., Phys. Rev. Lett. 101, 040403 (2008)] for achieving sensitivity scaling better than 1/N in a nonlinear Ramsey interferometer that uses a two-mode Bose-Einstein condensate (BEC) of N atoms. We present numerical simulations that confirm the analytical predictions for the effect of the spreading of the BEC ground-state wave function on the ideal 1/N{sup 3/2} scaling. Numerical integration of the coupled, time-dependent, two-mode Gross-Pitaevskii equations allows us to study the several simplifying assumptions made in the initial analytic study of the proposal and to explore when they can be justified. In particular, we find that the two modes share the same spatial wave function for a length of time that is sufficient to run the metrology scheme.
Nonlinear Eigenmodes of a Polariton Harmonic Oscillator
Florian Pinsker; and Tristram J. Alexander
2015-01-28T23:59:59.000Z
We investigate theoretically the quantum oscillator-like states recently observed experimentally in polariton condensates (Nat. Phys. 8, 190 (2012)). We consider a complex Gross-Pitaevskii type model which includes the effects of self-interactions, and creation and decay of exciton-polaritons. We develop a perturbation theory for approximate solutions to this non-equilibrium condensate model and compare the results with numerically calculated solutions for both repulsive and attractive polariton-polariton interactions. While the nonlinearity has a weak effect on the mode selection their density profiles are modified at moderate gain strengths and becomes more dominant when a very large gain of polaritons implies an extended cloud with high condensate densities. Finally, we identify the relation of the observed patterns to the input pump configuration, and suggest this may serve as a generalized NOR gate in the tradition of optical computing.
Annual Energy Outlook 2013 [U.S. Energy Information Administration (EIA)]
AFDC Printable Version Share this resource Send a link to EERE: Alternative Fuels Data Center Home Page to someone by E-mail Share EERE: Alternative Fuels Data Center Home Page on Facebook Tweet about EERE: Alternative Fuels Data Center Home Page on Twitter Bookmark EERE:1 First Use of Energy for All Purposes (Fuel and Nonfuel), 2002; Level:5 TablesExports to3,1,50022,3,,0,,6,1,Separation 23 362 334 318 706Production% of41.1Diesel prices increase nationallyFAQs for Survey FormForms 805
Nonlinear Estimation for Model Based Fault Diagnosis of Nonlinear Chemical Systems
Qu, Chunyan
2011-02-22T23:59:59.000Z
. . . . . . . . . . . . . . . . . . . . 84 xii TABLE Page XV MSEs for Algorithms (?t = 0.02,R = 0.01I) for EKF Imple- mentations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91 XVI Summary of MSEs for All Algorithms for EKF Implementations 93 XVII MSEs for Algorithms with a...-dimensional states while Li and Kadirkamanathan [79] investigated the PF based likelihood ratio ap- proach to fault diagnosis in nonlinear stochastic systems. T. Chen and his coworkers used particle filters for dynamic data rectification and process change detection...
Bayley, H.; Walker, B.J.; Chang, C.Y.; Niblack, B.; Panchal, R.
1998-07-07T23:59:59.000Z
An inactive pore-forming agent is revealed which is activated to lytic function by a condition such as pH, light, heat, reducing potential, or metal ion concentration, or substance such as a protease, at the surface of a cell. 30 figs.
Purple Heart Scholarship Eligibility Form
Maxwell, Bruce D.
Purple Heart Scholarship Eligibility Form School: The Purple Heart Scholarship Program stemmed from is intended to increase access and affordability for Montana- Resident, Purple Heart Recipients-Time GPA OF 2.0 OR GREATER IN A PREVIOUS YEAR: YES NO DD 214 IN FILE WITH PURPLE HEART: YES NO THIS SECTION
ERASMUS EXCHANGE HOUSING APPLICATION FORM
Pfeifer, Holger
ERASMUS EXCHANGE HOUSING APPLICATION FORM PERSONAL DATA Family Name / Last Name Type your names Permanent Address Street, House Number Postal Code, City Country Phone Number eMail Address MOBILITY August 31. See: www.uni-ulm.de/io/exchange/housing.html Beginning of rental period: End of rental period
Report Form for Program Termination
Saskatchewan, University of
Report Form for Program Termination Program(s) to be deleted: Effective date of termination: 1. List reasons for termination and describe the background leading to this decision. 2. Technical the last five years. #12;3. Impact of the termination. Internal 3.1 What if any impact
UNIVERSITY OF ALBERTA RELEASE FORM
Lin, Dekang
UNIVERSITY OF ALBERTA RELEASE FORM NAME OF AUTHOR: Dekang Lin TITLE OF THESIS: Obvious Abduction to the University of Alberta library to reproduce single copies of this thesis and to lend or sell such copies #320, 77 University Crescent Winnipeg, Manitoba, Canada, R3T 3N8 Date: #12; UNIVERSITY OF ALBERTA
Team Excellence Award Nomination Form
Dennett, Daniel
Team Excellence Award Nomination Form Printed: Tuesday, July 30, 2013 1. Team name: 2. Enter the full names and titles of all team members: 3. Who does this team serve and how did they go above sentences. 4. How did this team develop effective relationships and use resources creatively? Please limit
Campus Health Center Immunization Form
Finley Jr., Russell L.
immunizations are recommended for college students? Meningitis vaccine - Highly recommended for all incomingCampus Health Center Immunization Form 2015 2016 Wayne State University (WSU) requires that your. WSU recommends that students come to school fully immunized to protect their health and the health
Technetium Immobilization Forms Literature Survey
Westsik, Joseph H.; Cantrell, Kirk J.; Serne, R. Jeffrey; Qafoku, Nikolla
2014-05-01T23:59:59.000Z
Of the many radionuclides and contaminants in the tank wastes stored at the Hanford site, technetium-99 (99Tc) is one of the most challenging to effectively immobilize in a waste form for ultimate disposal. Within the Hanford Tank Waste Treatment and Immobilization Plant (WTP), the Tc will partition between both the high-level waste (HLW) and low-activity waste (LAW) fractions of the tank waste. The HLW fraction will be converted to a glass waste form in the HLW vitrification facility and the LAW fraction will be converted to another glass waste form in the LAW vitrification facility. In both vitrification facilities, the Tc is incorporated into the glass waste form but a significant fraction of the Tc volatilizes at the high glass-melting temperatures and is captured in the off-gas treatment systems at both facilities. The aqueous off-gas condensate solution containing the volatilized Tc is recycled and is added to the LAW glass melter feed. This recycle process is effective in increasing the loading of Tc in the LAW glass but it also disproportionally increases the sulfur and halides in the LAW melter feed which increases both the amount of LAW glass and either the duration of the LAW vitrification mission or the required supplemental LAW treatment capacity.
HR Partners: Checklist, Forms & Reports
Hammack, Richard
HR Partners: Checklist, Forms & Reports VCU Human Resources September 17 & 18 #12;Agenda Opening the new 29 Hour Reporting Tool Share the "The Happenings" Clarify the purpose & execution of Separation;Our Session #12;Our Session 2. Outline how to document, report and adjust staff hours impacted
Banner Advancement Account Request Form
Karsai, Istvan
Banner Advancement Account Request Form ETSU Office of Information Technology 424 Roy Nicks Hall, Box 70728 Johnson City, Tennessee 37614 (423) 439-4648 · oithelp@etsu.edu This section for use ______________________________________________________________________________________ [last] [first] [middle] ETSU Domain Name _____________________@etsu.edu School / College
Switzner, Nathan; Henry, Dick
2009-03-20T23:59:59.000Z
In a second development order, spin-forming equipment was again evaluated using the test shape, a hemispherical shell. In this second development order, pure vanadium and alloy titanium (Ti-6Al-4V) were spin-formed, as well as additional copper and 21-6-9 stainless. In the first development order the following materials had been spin-formed: copper (alloy C11000 ETP), 6061 aluminum, 304L stainless steel, 21-6-9 stainless steel, and tantalum-2.5% tungsten. Significant challenges included properly adjusting the rotations-per-minute (RPM), cracking at un-beveled edges and laser marks, redressing of notches, surface cracking, non-uniform temperature evolution in the titanium, and cracking of the tailstock. Lessons learned were that 300 RPM worked better than 600 RPM for most materials (at the feed rate of 800 mm/min); beveling the edges to lower the stress reduces edge cracking; notches, laser marks, or edge defects in the preform doom the process to cracking and failure; coolant is required for vanadium spin-forming; increasing the number of passes to nine or more eliminates surface cracking for vanadium; titanium develops a hot zone in front of the rollers; and the tailstock should be redesigned to eliminate the cylindrical stress concentrator in the center.
Nonlinear dynamics of a system of particle-like wavepackets
A. Babin; A. Figotin
2007-08-13T23:59:59.000Z
This work continues our studies of nonlinear evolution of a system of wavepackets. We study a wave propagation governed by a nonlinear system of hyperbolic PDE's with constant coefficients with the initial data being a multi-wavepacket. By definition a general wavepacket has a well defined principal wave vector, and, as we proved in previous works, the nonlinear dynamics preserves systems of wavepackets and their principal wave vectors. Here we study the nonlinear evolution of a special class of wavepackets, namely particle-like wavepackets. A particle-like wavepacket is of a dual nature: on one hand, it is a wave with a well defined principal wave vector, on the other hand, it a particle in the sense that it can be assigned a well defined position in the space. We prove that under the nonlinear evolution a generic multi-particle wavepacket remains to be a multi-particle wavepacket with a high accuracy, and every constituting single particle-like wavepacket not only preserves its principal wave number but also it has a well-defined space position evolving with a constant velocity which is its group velocity. Remarkably the described properties hold though the involved single particle-like wavepackets undergo nonlinear interactions and multiple collisions in the space. We also prove that if principal wavevectors of multi-particle wavepacket are generic, the result of nonlinear interactions between different wavepackets is small and the approximate linear superposition principle holds uniformly with respect to the initial spatial positions of wavepackets.
A topological approximation of the nonlinear Anderson model
Alexander V. Milovanov; Alexander Iomin
2014-06-05T23:59:59.000Z
We study the phenomena of Anderson localization in the presence of nonlinear interaction on a lattice. A class of nonlinear Schrodinger models with arbitrary power nonlinearity is analyzed. We conceive the various regimes of behavior, depending on the topology of resonance-overlap in phase space, ranging from a fully developed chaos involving Levy flights to pseudochaotic dynamics at the onset of delocalization. It is demonstrated that quadratic nonlinearity plays a dynamically very distinguished role in that it is the only type of power nonlinearity permitting an abrupt localization-delocalization transition with unlimited spreading already at the delocalization border. We describe this localization-delocalization transition as a percolation transition on a Cayley tree. It is found in vicinity of the criticality that the spreading of the wave field is subdiffusive in the limit t\\rightarrow+\\infty. The second moment grows with time as a powerlaw t^\\alpha, with \\alpha = 1/3. Also we find for superquadratic nonlinearity that the analog pseudochaotic regime at the edge of chaos is self-controlling in that it has feedback on the topology of the structure on which the transport processes concentrate. Then the system automatically (without tuning of parameters) develops its percolation point. We classify this type of behavior in terms of self-organized criticality dynamics in Hilbert space. For subquadratic nonlinearities, the behavior is shown to be sensitive to details of definition of the nonlinear term. A transport model is proposed based on modified nonlinearity, using the idea of stripes propagating the wave process to large distances. Theoretical investigations, presented here, are the basis for consistency analysis of the different localization-delocalization patterns in systems with many coupled degrees of freedom in association with the asymptotic properties of the transport.
Computationally Efficient Technique for Nonlinear Poisson-Boltzmann Equation
Sanjay Kumar Khattri
2006-05-26T23:59:59.000Z
Discretization of non-linear Poisson-Boltzmann Equation equations results in a system of non-linear equations with symmetric Jacobian. The Newton algorithm is the most useful tool for solving non-linear equations. It consists of solving a series of linear system of equations (Jacobian system). In this article, we adaptively define the tolerance of the Jacobian systems. Numerical experiment shows that compared to the traditional method our approach can save a substantial amount of computational work. The presented algorithm can be easily incorporated in existing simulators.
Nonlinear Optical Galton Board: thermalization and continuous limit
Giuseppe Di Molfetta; Fabrice Debbasch; Marc Brachet
2015-06-13T23:59:59.000Z
The nonlinear optical Galton board (NLOGB), a quantum walk like (but nonlinear) discrete time quantum automaton, is shown to admit a complex evolution leading to long time thermalized states. The continuous limit of the Galton Board is derived and shown to be a nonlinear Dirac equation (NLDE). The (Galerkin truncated) NLDE evolution is shown to thermalize toward states qualitatively similar to those of the NLOGB. The NLDE conserved quantities are derived and used to construct a stochastic differential equation converging to grand canonical distributions that are shown to reproduce the (micro canonical) NLDE thermalized statistics. Both the NLOGB and the Galerkin-truncated NLDE are thus demonstrated to exhibit spontaneous thermalization.
Oblique propagation of nonlinear electrostatic waves in dense astrophysical magnetoplasmas
Masood, W.; Siddiq, M. [Theoretical Plasma Physics Division, PINSTECH, P. O. Nilore, Islamabad 54000 (Pakistan); National Centre for Physics (NCP), Shahdara Valley Road, 44000, Islamabad (Pakistan); Rizvi, H. [Theoretical Plasma Physics Division, PINSTECH, P. O. Nilore, Islamabad 54000 (Pakistan)
2011-10-15T23:59:59.000Z
Nonlinear quantum ion-acoustic waves in dense dissipative as well as non-dissipative magnetized plasmas are investigated employing the quantum hydrodynamic model. In this regard, Zakharov Kuznetsov Burgers equation is derived in quantum plasmas, for the first time, using the small amplitude perturbation expansion method. The unique features of nonlinear electrostatic structures in pure electron-ion quantum magnetoplasma are highlighted and the parametric domain of the applicability of the model is unequivocally expressed. The present study may be useful to understand the nonlinear propagation characteristics of electrostatic shock and solitary structures in dense astrophysical systems where the quantum effects are expected to dominate.
Butt, Darryl Paul; Cutler, Raymond Ashton; Rynders, Steven Walton; Carolan, Michael Francis
2006-08-22T23:59:59.000Z
A method of joining at least two sintered bodies to form a composite structure, including providing a first multicomponent metallic oxide having a perovskitic or fluorite crystal structure; providing a second sintered body including a second multicomponent metallic oxide having a crystal structure of the same type as the first; and providing at an interface a joint material containing at least one metal oxide containing at least one metal identically contained in at least one of the first and second multicomponent metallic oxides. The joint material is free of cations of Si, Ge, Sn, Pb, P and Te and has a melting point below the sintering temperatures of both sintered bodies. The joint material is heated to a temperature above the melting point of the metal oxide(s) and below the sintering temperatures of the sintered bodies to form the joint. Structures containing such joints are also disclosed.
Unsplit bipolar pulse forming line
Rhodes, Mark A. (Pleasanton, CA)
2011-05-24T23:59:59.000Z
A bipolar pulse forming transmission line module and system for linear induction accelerators having first, second, third, and fourth planar conductors which form a sequentially arranged interleaved stack having opposing first and second ends, with dielectric layers between the conductors. The first and second planar conductors are connected to each other at the first end, and the first and fourth planar conductors are connected to each other at the second end via a shorting plate. The third planar conductor is electrically connectable to a high voltage source, and an internal switch functions to short at the first end a high voltage from the third planar conductor to the fourth planar conductor to produce a bipolar pulse at the acceleration axis with a zero net time integral. Improved access to the switch is enabled by an aperture through the shorting plate and the proximity of the aperture to the switch.
Method of forming clathrate ice
Hino, Toshiyuki (Tokyo, JP); Gorski, Anthony J. (Lemont, IL)
1987-01-01T23:59:59.000Z
A method of forming clathrate ice in a supercooled water-based liquid contained in a vessel is disclosed. Initially, an oscillator device is located in the liquid in the vessel. The oscillator device is then oscillated ultrasonically so that small crystals are formed in the liquid. These small crystals serve as seed crystals for ice formation in the liquid and thereby prevent supercooling of the liquid. Preferably, the oscillating device is controlled by a thermostat which initiates operation of the oscillator device when the temperature of the liquid is lowered to the freezing point. Thereafter, the operation of the oscillator device is terminated when ice is sensed in the liquid by an ice sensor.
Method of forming calthrate ice
Hino, T.; Gorski, A.J.
1985-09-30T23:59:59.000Z
A method of forming clathrate ice in a supercooled water-based liquid contained in a vessel is disclosed. Initially, an oscillator device is located in the liquid in the vessel. The oscillator device is then oscillated ultransonically so that small crystals are formed in the liquid. Thes small crystals serve as seed crystals for ice formation in the liquid and thereby prevent supercooling of the liquid. Preferably, the oscillating device is controlled by a thermostat which initiates operation of the oscillator device when the temperature of the liquid is lowered to the freezing point. Thereafter, the operation of the oscillator device is terminated when ice is sensed in the liquid by an ice sensor.
Hiroko Koyama; Taihei Yano
2005-06-15T23:59:59.000Z
The connection between the two-point and the three-point correlation functions in the non-linear gravitational clustering regime is studied. Under a scaling hypothesis, we find that the three-point correlation function, $\\zeta$, obeys the scaling law $\\zeta\\propto \\xi^{\\frac{3m+4w-2\\epsilon}{2m+2w}}$ in the nonlinear regime, where $\\xi$, $m$, $w$, and $\\epsilon$ are the two-point correlation function, the power index of the power spectrum in the nonlinear regime, the number of spatial dimensions, and the power index of the phase correlations, respectively. The new formula reveals the origin of the power index of the three-point correlation function. We also obtain the theoretical condition for which the ``hierarchical form'' $\\zeta\\propto\\xi^2$ is reproduced.
Finite Element Analysis of Nonlinear Thickness-shear Vibrations of AT-cut Quartz Crystal Plates
Wang, Ji
Finite Element Analysis of Nonlinear Thickness-shear Vibrations of AT-cut Quartz Crystal Plates Ji, dujianke}@nbu.edu.cn Abstract--The nonlinear finite element analysis is performed with the nonlinear a smaller size in comparison with the 3D approach. General procedure of nonlinear finite element analysis
Vecchio, Frank J.
Abstract ii NONLINEAR FINITE ELEMENT ANALYSIS OF REINFORCED CONCRETE STRUCTURES SUBJECTED nonlinear finite element transient thermal analysis is implemented into program VecTor2©, a nonlinear's response to thermal loads, this research develops and implements a 2D nonlinear finite element transient
Nonlinear State Space Model of a Hydraulic Wind Power Transfer Masoud Vaezi1
Zhou, Yaoqi
Nonlinear State Space Model of a Hydraulic Wind Power Transfer Masoud Vaezi1 , Majid Deldar1 1, IUPUI. Gearless hydraulic wind power systems are considered as nonlinear models because of some discrete nonlinear governing equations for the elements in the proposed hydraulic wind power configuration. Nonlinear
ME/SE 762 Nonlinear Systems and Control Location: SOC B63
Lin, Xi
ME/SE 762 Nonlinear Systems and Control Location: SOC B63 Time: Tue & Thu 12-2 Instructor: Calin-4 #12;ME/SE 762 Nonlinear Systems and Control Prerequisites: a grad-level class on linear systems: · stability analysis of nonlinear systems (with emphasis on Lyapunov theory) · nonlinear feedback control
Nonlinear Dynamics and Quantum Entanglement in Optomechanical Systems Guanglei Wang,1
Lai, Ying-Cheng
Nonlinear Dynamics and Quantum Entanglement in Optomechanical Systems Guanglei Wang,1 Liang Huang,2, is nonlinear. A nonlinear dynamical system can exhibit all kinds of interesting phenomena such as periodic at the other. In view of the ubiquity of nonlinear dynamics in physical systems and of the funda- mental
Stability of an Euler-Bernoulli beam with a nonlinear dynamic feedback system
Arnold, Anton
Stability of an Euler-Bernoulli beam with a nonlinear dynamic feedback system M. Mileti´ca , D. St to a nonlinear dynamic feedback system. This setup comprises nonlinear dynamic boundary controllers satisfying with the interaction of the Euler-Bernoulli beam (1.1) - (1.3) with a dynamic nonlinear feedback system. In particular
American Institute of Aeronautics and Astronautics Non-Linear Control Structures for Rotorcraft
Boyer, Edmond
American Institute of Aeronautics and Astronautics 1 Non-Linear Control Structures for Rotorcraft and compare three different non-linear control approaches to the design of control structures with control is defined. Then are introduced different non-linear control approaches: non-linear inverse control
Nonlinear acoustics experimental characterization of microstructure evolution in Inconel 617
Yao, Xiaochu; Liu, Yang; Lissenden, Cliff J. [Department of Engineering Science and Mechanics, The Pennsylvania State University, University Park, PA 16802 (United States)
2014-02-18T23:59:59.000Z
Inconel 617 is a candidate material for the intermediate heat exchanger in a very high temperature reactor for the next generation nuclear power plant. This application will require the material to withstand fatigue-ratcheting interaction at temperatures up to 950°C. Therefore nondestructive evaluation and structural health monitoring are important capabilities. Acoustic nonlinearity (which is quantified in terms of a material parameter, the acoustic nonlinearity parameter, ?) has been proven to be sensitive to microstructural changes in material. This research develops a robust experimental procedure to track the evolution of damage precursors in laboratory tested Inconel 617 specimens using ultrasonic bulk waves. The results from the acoustic non-linear tests are compared with stereoscope surface damage results. Therefore, the relationship between acoustic nonlinearity and microstructural evaluation can be clearly demonstrated for the specimens tested.
Nonlinear stochastic growth rates and redshift space distortions
Jennings, Elise
2015-01-01T23:59:59.000Z
The linear growth rate is commonly defined through a simple deterministic relation between the velocity divergence and the matter overdensity in the linear regime. Here we introduce a formalism that extends this to a nonlinear, stochastic relation between $\\theta = \
Nonlinear Viscoelastic Biomaterials: Meaningful Characterization and Engineering Inspiration
1/21 Nonlinear Viscoelastic Biomaterials: Meaningful Characterization and Engineering Inspiration Annual Meeting Symposium: Biomaterials: Properties, Variation and Evolution Keywords: biomechanics, mucus techniques for characterization, pedal mucus samples (and biomaterials in general) are viscoelastic
Fresnel analysis of the wave propagation in nonlinear electrodynamics
Yuri N. Obukhov; Guillermo F. Rubilar
2002-04-05T23:59:59.000Z
We study the wave propagation in nonlinear electrodynamical models. Particular attention is paid to the derivation and the analysis of the Fresnel equation for the wave covectors. For the class of general nonlinear Lagrangian models, we demonstrate how the originally quartic Fresnel equation factorizes, yielding the generic birefringence effect. We show that the closure of the effective constitutive (or jump) tensor is necessary and sufficient for the absence of birefringence, i.e., for the existence of a unique light cone structure. As another application of the Fresnel approach, we analyze the light propagation in a moving isotropic nonlinear medium. The corresponding effective constitutive tensor contains non-trivial skewon and axion pieces. For nonmagnetic matter, we find that birefringence is induced by the nonlinearity, and derive the corresponding optical metrics.
Nonlinear stability of cosmological solutions in massive gravity
Felice, Antonio De [ThEP's CRL, NEP, The Institute for Fundamental Study, Naresuan University, Phitsanulok 65000 (Thailand); Gümrükçüo?lu, A. Emir; Lin, Chunshan; Mukohyama, Shinji, E-mail: antoniod@nu.ac.th, E-mail: emir.gumrukcuoglu@ipmu.jp, E-mail: chunshan.lin@ipmu.jp, E-mail: shinji.mukohyama@ipmu.jp [Kavli Institute for the Physics and Mathematics of the Universe (WPI), Todai Institutes for Advanced Study, University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, Chiba 277-8583 (Japan)
2013-05-01T23:59:59.000Z
We investigate nonlinear stability of two classes of cosmological solutions in massive gravity: isotropic Friedmann-Lemaître-Robertson-Walker (FLRW) solutions and anisotropic FLRW solutions. For this purpose we construct the linear cosmological perturbation theory around axisymmetric Bianchi type-I backgrounds. We then expand the background around the two classes of solutions, which are fixed points of the background evolution equation, and analyze linear perturbations on top of it. This provides a consistent truncation of nonlinear perturbations around these fixed point solutions and allows us to analyze nonlinear stability in a simple way. In particular, it is shown that isotropic FLRW solutions exhibit nonlinear ghost instability. On the other hand, anisotropic FLRW solutions are shown to be ghost-free for a range of parameters and initial conditions.
Dawn of x-ray nonlinear optics | Stanford Synchrotron Radiation...
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
Dawn of x-ray nonlinear optics Wednesday, July 8, 2015 - 3:00pm SLAC, Redtail Hawk Conference Room 108A Speaker: David Reis, PULSE Program Description X-ray free electron lasers...
effective sampling schemes for behavior discrimination in nonlinear
2013-11-08T23:59:59.000Z
Similarly, in optimal control theory, the ... oped for nonlinear ODE models. .... However, in practice, since the low-discrepancy sampling schemes try to cover the whole ...... model predictive control, Automatic Control, IEEE Transactions on,
A new Lyapunov design method for nonlinear process control
Dubljevic, Stevan
2001-01-01T23:59:59.000Z
The present research work proposes a new nonlinear controller synthesis approach that is based on the methodological principles of Lyapunov design. In particular, it introduces a notion of short-horizon model-based prediction and optimization...
Collisional effects on nonlinear ion drag force for small grains
Hutchinson, Ian H.
The ion drag force arising from plasma flow past an embedded spherical grain is calculated self-consistently and non-linearly using particle in cell codes, accounting for ion-neutral collisions. Using ion velocity distribution ...
NONLINEARITY AND COMPLEXITY IN GRAVEL BED DYNAMICS Arvind Singh
NONLINEARITY AND COMPLEXITY IN GRAVEL BED DYNAMICS By Arvind Singh Stefano Lanzoni and Efi Foufoula Singh1 , Stefano Lanzoni2 , and Efi Foufoula-Georgiou1 1 St. Anthony Falls Laboratory and National
Strong nonlinear current–voltage behaviour in iron oxyborate
Song, Yuanjun [Department of Physics, Beihang University, Beijing 100191 (China); Xu, Yingying; Song, Yujun [School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083 (China); Li, Jianqi [Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190 (China); Wang, Rongming, E-mail: rmwang@buaa.edu.cn [Department of Physics, Beihang University, Beijing 100191 (China); School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083 (China)
2014-11-15T23:59:59.000Z
Strong nonlinear resistance has been found in the charge ordered ferroelectric iron oxyborate (Fe{sub 2}OBO{sub 3}) with a high dielectric constant and giant converse magnetoelectric effect. In low temperature range the I-V nonlinearity increases quickly with decreasing temperature. Transport measurements on polycrystalline and single crystal Fe{sub 2}OBO{sub 3} indicate that the nonlinearity is not induced by grain boundaries. The nonlinear I-V behavior is intrinsically correlated with the charge order phase melting in Fe{sub 2}OBO{sub 3} by detailed in-situ TEM investigations. These results provide an insight into structure-activity relationship of resistance switching effects at atomic and electric scales, which is essential for its potential application as varistors and storage media.
Alternative Fourier-series approach to nonlinear oscillations
Francisco M. Fernández
2009-10-12T23:59:59.000Z
We propose an alternative approach that avoids the nonlinear equations for the Fourier coefficients that appear in the method of harmonic balance. We apply it to two simple illustrative examples.
Experimental nonlinear laser systems: Bigger data for better science?
Kane, D. M.; Toomey, J. P.; McMahon, C.; Noblet, Y. [MQ Photonics Research Centre, Department of Physics and Astronomy, Macquarie University ~ Sydney, NSW 2109 (Australia); Argyris, A.; Syvridis, D. [Department of Informatics and Telecommunications, National and Kapodistrian University of Athens, Panepistimiopolis, Ilisia, 15784 (Greece)
2014-10-06T23:59:59.000Z
Bigger data is supporting knowledge discovery in nonlinear laser systems as will be demonstrated with examples from three semiconductor laser based systems – one with optical feedback, a photonic integrated circuit (PIC) chaotic laser and a frequency shifted feedback laser system.
Parameterized model order reduction for nonlinear dynamical systems
Bond, Bradley N. (Bradley Neil)
2006-01-01T23:59:59.000Z
The presence of several nonlinear analog circuits and Micro-Electro-Mechanical (MEM) components in modern mixed signal System-on-Chips (SoC) makes the fully automatic synthesis and optimization of such systems an extremely ...
Effect of superthermality on nonlinear electrostatic modes in plasmas
Sultana, S; Saini, N S; Hellberg, M A; Kourakis, I
2011-01-01T23:59:59.000Z
The nonlinear propagation of electron-acoustic solitary structures is investigated in a plasma containing kappa-distributed (superthermal) electrons. Different types of localized structures are shown to exist. The occurrence of modulational instability is investigated.
Model reduction for nonlinear dynamical systems with parametric uncertainties
Zhou, Yuxiang Beckett
2012-01-01T23:59:59.000Z
Nonlinear dynamical systems are known to be sensitive to input parameters. In this thesis, we apply model order reduction to an important class of such systems -- one which exhibits limit cycle oscillations (LCOs) and ...
Nonlinear bayesian filtering with applications to estimation and navigation
Lee, Deok-Jin
2005-08-29T23:59:59.000Z
In principle, general approaches to optimal nonlinear filtering can be described in a unified way from the recursive Bayesian approach. The central idea to this recur- sive Bayesian estimation is to determine the probability density function...
Non-linear electrophoresis of ideally polarizable particles
Chan, Wai Hong Ronald
2014-01-01T23:59:59.000Z
This thesis investigates the non-linear regime of electrophoresis, in particular the variation of electrophoretic velocity with electric field at high field strengths. Known theoretical approaches to the problem accounting ...
Optical fiber based ultrashort pulse multispectral nonlinear optical microscopy
Larson, Adam Michael
2009-05-15T23:59:59.000Z
Nonlinear optical microscopy (NLOM) utilizing femtosecond laser pulses is well suited for imaging living tissues. This work reports on the design and development of an optical fiber based multispectral NLOM developed around a laser generating...
Rogue events in complex linear and nonlinear photonic media
Mattheakis, M; Tsironis, G P; Tzortzakis, S
2015-01-01T23:59:59.000Z
Ocean rogue waves (RW) -huge solitary waves- have for long triggered the interest of scientists. RWs emerge in a complex environment and it is still dubious the importance of linear versus nonlinear processes. Recent works have demonstrated that RWs appear in various other physical systems such as microwaves, nonlinear crystals, cold atoms, etc. In this work we investigate optical wave propagation in strongly scattering random lattices embedded in the bulk of transparent glasses. In the linear regime we observe the appearance of RWs that depend solely on the scattering properties of the medium. Interestingly, the addition of nonlinearity does not modify the RW statistics, while as the nonlinearities are increased multiple-filamentation and intensity clamping destroy the RW statistics. Numerical simulations agree nicely with the experimental findings and altogether prove that optical rogue waves are generated through the linear strong scattering in such complex environments.
Ultrafast nonlinear optical properties of passive and active semiconductor devices
Motamedi, Ali Reza
2011-01-01T23:59:59.000Z
Nonlinear optical properties and ultrafast carrier dynamics of slab-coupled optical waveguide amplifiers, silicon nanowaveguides, and III-V semiconductor saturable Bragg reflectors are studied. The limits imposed by two ...
Identifying nonlinear variaiton patterns in multivariate manufacturing processes
Zhang, Feng
2005-02-17T23:59:59.000Z
a priori. We propose a modified version of a principal curve estimation algorithm for identifying the variation pattern. Principal curve analysis is a nonlinear generalization of principal components analysis (PCA) that lends itself well...
COCONUT Deliverable D1 Algorithms for Solving Nonlinear Constrained
Neumaier, Arnold
COCONUT Deliverable D1 Algorithms for Solving Nonlinear Constrained and Optimization Problems: The State of The Art June 8, 2001 The Coconut Project Christian Bliek ILOG Peter Spellucci TU Darmstadt Lu
Few-photon coherent nonlinear optics with a single molecule
Maser, Andreas; Utikal, Tobias; Götzinger, Stephan; Sandoghdar, Vahid
2015-01-01T23:59:59.000Z
The pioneering experiments of linear spectroscopy were performed using flames in the 1800s, but nonlinear optical measurements had to wait until lasers became available in the twentieth century. Because the nonlinear cross section of materials is very small, usually macroscopic bulk samples and pulsed lasers are used. Numerous efforts have explored coherent nonlinear signal generation from individual nanoparticles or small atomic ensembles with millions of atoms. Experiments on a single semiconductor quantum dot have also been reported, albeit with a very small yield. Here, we report on coherent nonlinear spectroscopy of a single molecule under continuous-wave single-pass illumination, where efficient photon-molecule coupling in a tight focus allows switching of a laser beam by less than a handful of pump photons nearly resonant with the sharp molecular transition. Aside from their fundamental importance, our results emphasize the potential of organic molecules for applications such as quantum information pro...
A Penalty-Interior-Point Algorithm for Nonlinear Constrained ...
2012-02-11T23:59:59.000Z
including sets of problems that exhibit degeneracy or are infeasible. ..... require specifications of first-order optimality conditions for subproblems (1.3) ...... Nonlinear Optimization, Technical Report, Rutherford Appleton Laboratory, Chilton, Ox-.
Nonlinear Adaptive Control for Bioreactors with Unknown Kinetics
Bernard, Olivier
Nonlinear Adaptive Control for Bioreactors with Unknown Kinetics Ludovic Mailleret a , Olivier bioreaction occuring in a continuous and well mixed bioreactor, assuming that the bioreaction's kinetics a pollutant (wastewater treatment...). There- fore, bioreactors require advanced regulation procedures
Nonlinear Adaptive Dynamic Inversion Control for Hypersonic Vehicles
Rollins, Elizabeth
2013-09-03T23:59:59.000Z
-of-attack and sideslip angle. To prevent undesirable inlet unstart events, the nonlinear adaptive dynamic inversion control architecture is given the ability to enforce state constraints. Because several phenomena can cause inlet unstarts, the control architecture also...
Nonlinear Wavelet Shrinkage With Bayes Rules and Bayes Brani Vidakovic
West, Mike
Nonlinear Wavelet Shrinkage With Bayes Rules and Bayes Factors Brani Vidakovic 1 #12; Brani, associate editor, and the two anonymous referees for insightful comments. 2 #12; Wavelet shrinkage of denoising data. Shrinking wavelet coefficients was proposed from several optimality criteria
Nonlinear analysis of speech from a synthesis perspective
Banbrook, Michael
With the emergence of nonlinear dynamical systems analysis over recent years it has become clear that conventional time domain and frequency domain approaches to speech synthesis may be far from optimal. Using state space ...
Nonlinear adaptive internal model control using neural networks
Gandhi, Amit Krushnavadan
2001-01-01T23:59:59.000Z
The IMC structure, where the controller implementation includes an explicit model of the plant, has been shown to be very effective for the control of the stable plants typically encountered in process control. A nonlinear internal model control...
Nonlinear beam-based vibration energy harvesters and load cells
Kluger, Jocelyn Maxine
2014-01-01T23:59:59.000Z
This thesis studies a novel nonlinear spring mechanism that is comprised of a cantilever wrapping around a curved surface as it deflects. Static force versus displacement tests and dynamic "initial displacement" tests ...
OPTICAL BIOPSY: COMPLEMENTING HISTOLOGY WITH NONLINEAR OPTICAL MICROSCOPY
Shafer, Christina
2006-08-16T23:59:59.000Z
Histology, though widely used for cellular imaging, suffers from its destructive nature; cells are not viewed in their natural living environment. Nonlinear optical microscopy (NLOM) has been widely used to view cells in situ without a need...
Modelling the Nonlinear Gravitational Clustering in the Expanding Universe
T. Padmanabhan
1995-08-26T23:59:59.000Z
The gravitational clustering of collisionless particles in an expanding universe is modelled using some simple physical ideas. I show that it is indeed possible to understand the nonlinear clustering in terms of three well defined regimes: (1) linear regime (2) quasilinear regime which is dominated by scale-invariant radial infall and (3) nonlinear regime dominated by nonradial motions and mergers. Modelling each of these regimes separately I show how the nonlinear two point correlation function can be related to the linear correlation function in heirarchical models. This analysis leads to results which are in good agreement with numerical simulations thereby providing an explanation for numerical results. The ideas presented here will also serve as a powerful anlytical tool to investigate nonlinear clustering in different models. Several implications of the result are discussed.
AIAA-99-1470 NONLINEAR AEROELASTICITY AND FLIGHT
Patil, Mayuresh
.2 ONERA stall model was used for aerodynamic loads. Tang and Dowell have studied the flutter was mod- eled using the ONERA dynamic stall model. Virgin and Dowell have studied the nonlinear be- havior
An Efficient Global Optimization Algorithm for Nonlinear Sum-of ...
2012-08-08T23:59:59.000Z
to nonlinear sum-of-ratios problem arising in image processing, engineering and ... 2010 Mathematics subject Classification: 90C26, 90C32, 65K05 ... optimization of the average element shape quality in the finite element method, computer.
Assessing the Potential of Interior Methods for Nonlinear Optimization
2 Electrical and Computer Engineering Department, Northwestern University, ... A variety of interior (or barrier) methods for nonlinear programming have ...... Mathematics and Computer Science Technical Report ANL/MCS-246, Argonne.
Solving Mixed-Integer Nonlinear Programs by QP-Diving
2012-03-26T23:59:59.000Z
Mar 26, 2012 ... †Mathematics and Computer Science Division, Argonne National ... Methods for MINLP include nonlinear branch-and-bound (Dakin, 1965; Gupta and Ravin- ...... Computers and Chemical Engineering, 31:648–656. Elwalid ...
A genetic bistable switch utilizing nonlinear protein degradation
Huang, Daniel; Holtz, William J; Maharbiz, Michel M
2012-01-01T23:59:59.000Z
T: Nonlinear protein degradation and the function of geneticRT: Evolution of the ssrA degradation tag in Mycoplasma:AD: Inducible protein degradation in Bacillus subtilis using
Experimental Implementation of a Nonlinear Control Method for Magnetostrictive Transducers
the development and experimental implementation of a nonlinear control design for magnetostrictive transducers and sensor noise. Experimental implementation results at frequencies up to 1000 Hz demonstrate. INTRODUCTION Present and emerging automotive, industrial, aeronautic, aerospace and biomedical applications
Nonlinear bayesian filtering with applications to estimation and navigation
Lee, Deok-Jin
2005-08-29T23:59:59.000Z
In principle, general approaches to optimal nonlinear filtering can be described in a unified way from the recursive Bayesian approach. The central idea to this recur- sive Bayesian estimation is to determine the probability density function...
Nonlinear Particle Acceleration in Relativistic Shocks
Donald C. Ellison; Glen P. Double
2002-04-22T23:59:59.000Z
Monte Carlo techniques are used to model nonlinear particle acceleration in parallel collisionless shocks of various speeds, including mildly relativistic ones. When the acceleration is efficient, the backreaction of accelerated particles modifies the shock structure and causes the compression ratio, r, to increase above test-particle values. Modified shocks with Lorentz factors less than about 3 can have compression ratios considerably greater than 3 and the momentum distribution of energetic particles no longer follows a power law relation. These results may be important for the interpretation of gamma-ray bursts if mildly relativistic internal and/or afterglow shocks play an important role accelerating particles that produce the observed radiation. For shock Lorentz factors greater than about 10, r approaches 3 and the so-called `universal' test-particle result of N(E) proportional to E^{-2.3} is obtained for sufficiently energetic particles. In all cases, the absolute normalization of the particle distribution follows directly from our model assumptions and is explicitly determined.
Jan Kyziol; Andrzej Okninski
2012-11-02T23:59:59.000Z
We study dynamics of two coupled periodically driven oscillators. The internal motion is separated off exactly to yield a nonlinear fourth-order equation describing inner dynamics. Periodic steady-state solutions of the fourth-order equation are determined within the Krylov-Bogoliubov-Mitropolsky approach - we compute the amplitude profiles, which from mathematical point of view are algebraic curves. In the present paper we investigate metamorphoses of amplitude profiles induced by changes of control parameters near singular points of these curves. It follows that dynamics changes qualitatively in the neighbourhood of a singular point.
Epileptic seizure prediction by non-linear methods
Hively, L.M.; Clapp, N.E.; Day, C.S.; Lawkins, W.F.
1999-01-12T23:59:59.000Z
This research discloses methods and apparatus for automatically predicting epileptic seizures monitor and analyze brain wave (EEG or MEG) signals. Steps include: acquiring the brain wave data from the patient; digitizing the data; obtaining nonlinear measures of the data via chaotic time series analysis tools; obtaining time serial trends in the nonlinear measures; comparison of the trend to known seizure predictors; and providing notification that a seizure is forthcoming. 76 figs.
Epileptic seizure prediction by non-linear methods
Hively, Lee M. (Knoxville, TN); Clapp, Ned E. (Knoxville, TN); Daw, C. Stuart (Knoxville, TN); Lawkins, William F. (Knoxville, TN)
1999-01-01T23:59:59.000Z
Methods and apparatus for automatically predicting epileptic seizures monitor and analyze brain wave (EEG or MEG) signals. Steps include: acquiring the brain wave data from the patient; digitizing the data; obtaining nonlinear measures of the data via chaotic time series analysis tools; obtaining time serial trends in the nonlinear measures; comparison of the trend to known seizure predictors; and providing notification that a seizure is forthcoming.
Nonlinear Structure Formation with the Environmentally Dependent Dilaton
Phil Brax; Carsten van de Bruck; Anne-C. Davis; Baojiu Li; Douglas J. Shaw
2011-02-17T23:59:59.000Z
We have studied the nonlinear structure formation of the environmentally dependent dilaton model using $N$-body simulations. We find that the mechanism of suppressing the scalar fifth force in high-density regions works very well. Within the parameter space allowed by the solar system tests, the dilaton model predicts small deviations of the matter power spectrum and the mass function from their $\\Lambda$CDM counterparts. The importance of taking full account of the nonlinearity of the model is also emphasized.
An investigation into methods of solution for nonlinear structural problems
Henkel, Edwin Eugene
1973-01-01T23:59:59.000Z
AN INVESTIGATION INTO METHODS OF SOLUTION FOR NONLINEAR STRUCTURAL PROBLEMS A Thesis bY EDWIN E. EENKEL Submitted to the Graduate College of Texas ASM University in partial fulfillment of the requirements for the degree of MASTER OF SCIENCE... December 1973 Major Subject: Interdisplinary Engineering AN INVESTIGATION INTO METHODS OF SOLUTION FOR NONLINEAR STRUCTURAL PROBLEMS A Thesis EDNIN E. HENKEL Approved as to style and content by: (Chairman of Committee) (Head of Department) (Member...
Nonlinear behavior of reinforced concrete structures subjected to ground motion
Abraham, Moises Alberto
1991-01-01T23:59:59.000Z
NONLINEAR BEHAVIOR OF REINFORCED CONCRETE STRUCTURES SUBJECTED TO GROUND MOTION A Thesis by MOISES ALBERTO ABRAHAM Submitted to the Office of Graduate Studies of Texas A 5 M U ni vers i ty in partial fulfillment of the requirement I...' or the degree of MASTER OF SCIENCE May 1991 Major Subject: Civil Engineering NONLINEAR BEHAVIOR OF REINFORCED CONCRETE STRUCTURES SUBJECTED TO GROUND MOTION A Thesis by MOISES ALBERTO ABRAHAM Approved as to style and content by: James . organ (Chair...
Nonlinear viscoelastic characterization of thin films using dynamic mechanical analysis
Payne, Debbie Flowers
1993-01-01T23:59:59.000Z
, experimental testing methods require extensive laboratory test time. The nonlinear results obtained from dynamic mechanical analysis require less laboratory time. This method assumes that the nonlinear stress dependent behavior may be characterized in a... manner similar to the traditional time temperature superposition principle for linear viscoelastic materials where stress systematically compresses or expands the time scale. From dynamic mechanical testing and analysis, the experimental viscoelastic...
Nonlinear system identification using the MRAS technique and hyperstability concepts
Schatte, Alvin Robert
1982-01-01T23:59:59.000Z
. Page 1. Example of Using a Taylor Series Expansion for the Function, f (x) '3 2. General MRAS Configuration 3. 8asic Hyperstability System 4. Parallel or Response Error MRAS Identification 5. Equation Error or Series Parallel MRAS Identification 6... Zl. Parametric Convergence for Model of (5. 2) 68 '69 71 72 75 77 Fig. 22. Nonlinear Power Series Model Results on Plant with Dead Zone 23. Parameter Convergence for Power Series Nodel of Dead Zone Nonlinear Plant 24. Zeroth Degree Taylor...
Voronov, Aleksandr V; Petnikova, V M; Rudenko, K V; Shuvalov, Vladimir V [International Laser Center, M. V. Lomonosov Moscow State University, Moscow (Russian Federation)
2001-12-31T23:59:59.000Z
A semiclassical phenomenological model is developed which takes into account basic processes proceeding in experiments on picosecond nonlinear spectroscopy of thin ferromagnetic films. The results of numerical simulations of the evolution of the domain structure of Ni films upon spatially uniform biharmonic pumping (BP) and upon spatially nonuniform excitation in the case of degenerate four-photon spectroscopy (DFPS) are presented. It is shown that the destruction kinetics of the film magnetisation is much slower in the case of DFPS than upon BP. This is explained by the efficient suppression of 'optical spin mixing' (the domain-structure destruction due to the spatial migration of s electrons) by potential barriers formed upon spatially nonuniform excitation of stable domain walls. (nonlinear optical phenomena)
Mentee Profile Form | Department of Energy
Mentee Profile Form Mentee Profile Form The information you provide on this form will assist us in providing you with a list of prospective mentors from which to choose the most...
Mentor Profile Form | Department of Energy
Mentor Profile Form Mentor Profile Form The information you provide on this form will assist us in providing you with a list of prospective mentee from which to choose the most...
CERAMIC WASTE FORM DATA PACKAGE
Amoroso, J.; Marra, J.
2014-06-13T23:59:59.000Z
The purpose of this data package is to provide information about simulated crystalline waste forms that can be used to select an appropriate composition for a Cold Crucible Induction Melter (CCIM) proof of principle demonstration. Melt processing, viscosity, electrical conductivity, and thermal analysis information was collected to assess the ability of two potential candidate ceramic compositions to be processed in the Idaho National Laboratory (INL) CCIM and to guide processing parameters for the CCIM operation. Given uncertainties in the CCIM capabilities to reach certain temperatures throughout the system, one waste form designated 'Fe-MP' was designed towards enabling processing and another, designated 'CAF-5%TM-MP' was designed towards optimized microstructure. Melt processing studies confirmed both compositions could be poured from a crucible at 1600{degrees}C although the CAF-5%TM-MP composition froze before pouring was complete due to rapid crystallization (upon cooling). X-ray diffraction measurements confirmed the crystalline nature and phase assemblages of the compositions. The kinetics of melting and crystallization appeared to vary significantly between the compositions. Impedance spectroscopy results indicated the electrical conductivity is acceptable with respect to processing in the CCIM. The success of processing either ceramic composition will depend on the thermal profiles throughout the CCIM. In particular, the working temperature of the pour spout relative to the bulk melter which can approach 1700{degrees}C. The Fe-MP composition is recommended to demonstrate proof of principle for crystalline simulated waste forms considering the current configuration of INL's CCIM. If proposed modifications to the CCIM can maintain a nominal temperature of 1600{degrees}C throughout the melter, drain, and pour spout, then the CAF-5%TM-MP composition should be considered for a proof of principle demonstration.
Nonlinear quantum input-output analysis using Volterra series
Jing Zhang; Yu-xi Liu; Re-Bing Wu; Kurt Jacobs; Sahin Kaya Ozdemir; Lan Yang; Tzyh-Jong Tarn; Franco Nori
2014-08-04T23:59:59.000Z
Quantum input-output theory plays a very important role for analyzing the dynamics of quantum systems, especially large-scale quantum networks. As an extension of the input-output formalism of Gardiner and Collet, we develop a new approach based on the quantum version of the Volterra series which can be used to analyze nonlinear quantum input-output dynamics. By this approach, we can ignore the internal dynamics of the quantum input-output system and represent the system dynamics by a series of kernel functions. This approach has the great advantage of modelling weak-nonlinear quantum networks. In our approach, the number of parameters, represented by the kernel functions, used to describe the input-output response of a weak-nonlinear quantum network, increases linearly with the scale of the quantum network, not exponentially as usual. Additionally, our approach can be used to formulate the quantum network with both nonlinear and nonconservative components, e.g., quantum amplifiers, which cannot be modelled by the existing methods, such as the Hudson-Parthasarathy model and the quantum transfer function model. We apply our general method to several examples, including Kerr cavities, optomechanical transducers, and a particular coherent feedback system with a nonlinear component and a quantum amplifier in the feedback loop. This approach provides a powerful way to the modelling and control of nonlinear quantum networks.
Applications of nonlinear system identification to structural health monitoring.
Farrar, C. R. (Charles R.); Sohn, H. (Hoon); Robertson, A. N. (Amy N.)
2004-01-01T23:59:59.000Z
The process of implementing a damage detection strategy for aerospace, civil and mechanical engineering infrastructure is referred to as structural health monitoring (SHM). In many cases damage causes a structure that initially behaves in a predominantly linear manner to exhibit nonlinear response when subject to its operating environment. The formation of cracks that subsequently open and close under operating loads is an example of such damage. The damage detection process can be significantly enhanced if one takes advantage of these nonlinear effects when extracting damage-sensitive features from measured data. This paper will provide an overview of nonlinear system identification techniques that are used for the feature extraction process. Specifically, three general approaches that apply nonlinear system identification techniques to the damage detection process are discussed. The first two approaches attempt to quantify the deviation of the system from its initial linear characteristics that is a direct result of damage. The third approach is to extract features from the data that are directly related to the specific nonlinearity associated with the damaged condition. To conclude this discussion, a summary of outstanding issues associated with the application of nonlinear system identification techniques to the SHM problem is presented.
D Lynden-Bell
2002-03-27T23:59:59.000Z
It is argued that jet modelers have given insufficient study to the natural magneto-static configurations of field wound up in the presence of a confining general pressure. Such fields form towers whose height grows with each twist at a velocity comparable to the circular velocity of the accretion disk that turns them. A discussion of the generation of such towers is preceded by a brief history of the idea that quasars, active galaxies, and galactic nuclei contain giant black holes with accretion disks.
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Converting acoustic energy into useful other energy forms
Putterman, Seth J. (Sherman Oaks, CA); Barber, Bradley Paul (Northridge, CA); Hiller, Robert Anthony (Los Angeles, CA); Lofstedt, Ritva Maire Johanna (Los Angeles, CA)
1997-01-01T23:59:59.000Z
Sonoluminescence is an off-equilibrium phenomenon in which the energy of a resonant sound wave in a liquid is highly concentrated so as to generate flashes of light. The conversion of sound to light represents an energy amplification of eleven orders of magnitude. The flashes which occur once per cycle of the audible or ultrasonic sound fields can be comprised of over one million photons and last for less 100 picoseconds. The emission displays a clocklike synchronicity; the jitter in time between consecutive flashes is less than fifty picoseconds. The emission is blue to the eye and has a broadband spectrum increasing from 700 nanometers to 200 nanometers. The peak power is about 100 milliWatts. The initial stage of the energy focusing is effected by the nonlinear oscillations of a gas bubble trapped in the liquid. For sufficiently high drive pressures an imploding shock wave is launched into the gas by the collapsing bubble. The reflection of the shock from its focal point results in high temperatures and pressures. The sonoluminescence light emission can be sustained by sensing a characteristic of the emission and feeding back changes into the driving mechanism. The liquid is in a sealed container and the seeding of the gas bubble is effected by locally heating the liquid after sealing the container. Different energy forms than light can be obtained from the converted acoustic energy. When the gas contains deuterium and tritium there is the feasibility of the other energy form being fusion, namely including the generation of neutrons.
Nonlinear inertial Alfven wave in dusty plasmas
Mahmood, S. [Theoretical Plasma Physics Division, P.O. Nilore Islamabad 44000 (Pakistan); National Center for Physics, Shadra Valley, Quaid-i-Azam University Islamabad 44000 (Pakistan); Saleem, H. [National Center for Physics, Shadra Valley, Quaid-i-Azam University Islamabad 44000 (Pakistan)
2011-11-29T23:59:59.000Z
Solitary inertial Alfven wave in the presence of positively and negatively charged dust particles is studied. It is found that electron density dips are formed in the super Alfvenic region and wave amplitude is increased for the case of negatively charged dust particles in comparison with positively charged dust particles in electron-ion plasmas.
Gupta, Samit Kumar
2015-01-01T23:59:59.000Z
In this work, we have studied the peregrine rogue wave dynamics, with a solitons on finite background (SFB) ansatz, in the recently proposed (Phys. Rev. Lett. 110 (2013) 064105) continuous nonlinear Schrodinger system with parity-time symmetric Kerr nonlinearity. We have found that the continuous nonlinear Schrodinger system with PT-symmetric nonlinearity also admits Peregrine Soliton solution. Motivated by the fact that Peregrine solitons are regarded as prototypical solutions of rogue waves, we have studied Peregrine rogue wave dynamics in the c-PTNLSE model. Upon numerical computation, we observe the appearance of low-intense Kuznetsov-Ma (KM) soliton trains in the absence of transverse shift (unbroken PT-symmetry) and well-localized high-intense Peregrine Rogue waves in the presence of transverse shift (broken PT-symmetry) in a definite parametric regime.
INSTRUCTIONS for COMPLETING SCHEDULE CARD WEB FORMS
Kelly Beranger
2012-03-22T23:59:59.000Z
Mar 22, 2012 ... Instructions for completing schedule card web forms. The following students are required to complete schedule card web forms. • all returning ...
UNIVERSITY OF WASHINGTON DIPLOMA CERTIFICATION REQUEST FORM
Eberhard, Marc O.
UNIVERSITY OF WASHINGTON DIPLOMA CERTIFICATION REQUEST FORM GRADUATION AND ACADEMIC RECORDS OFFICE: _________________ Notes: Please return this form to: University of Washington, Graduation & Academic Records Box 355850
On Line Beamline Commissioning Activity Approval Form
Broader source: All U.S. Department of Energy (DOE) Office Webpages (Extended Search)
Commissioning Activity Approval Form This form is to be filled by the Commissioning Activity Team Leader. No beamline commissioning activities will be allowed to run without a...
Studies in nonlinear problems of energy
Matkowsky, B.J.
1992-07-01T23:59:59.000Z
Emphasis has been on combustion and flame propagation. The research program was on modeling, analysis and computation of combustion phenomena, with emphasis on transition from laminar to turbulent combustion. Nonlinear dynamics and pattern formation were investigated in the transition. Stability of combustion waves, and transitions to complex waves are described. Combustion waves possess large activation energies, so that chemical reactions are significant only in thin layers, or reaction zones. In limit of infinite activation energy, the zones shrink to moving surfaces, (fronts) which must be found during the analysis, so that (moving free boundary problems). The studies are carried out for limiting case with fronts, while the numerical studies are carried out for finite, though large, activation energy. Accurate resolution of the solution in the reaction zones is essential, otherwise false predictions of dynamics are possible. Since the the reaction zones move, adaptive pseudo-spectral methods were developed. The approach is based on a synergism of analytical and computational methods. The numerical computations build on and extend the analytical information. Furthermore, analytical solutions serve as benchmarks for testing the accuracy of the computation. Finally, ideas from analysis (singular perturbation theory) have induced new approaches to computations. The computational results suggest new analysis to be considered. Among the recent interesting results, was spatio-temporal chaos in combustion. One goal is extension of the adaptive pseudo-spectral methods to adaptive domain decomposition methods. Efforts have begun to develop such methods for problems with multiple reaction zones, corresponding to problems with more complex, and more realistic chemistry. Other topics included stochastics, oscillators, Rysteretic Josephson junctions, DC SQUID, Markov jumps, laser with saturable absorber, chemical physics, Brownian movement, combustion synthesis, etc.
Analysis of Conductor Impedances Accounting for Skin Effect and Nonlinear Permeability
Perkins, M P; Ong, M M; Brown, C G; Speer, R D
2011-07-20T23:59:59.000Z
It is often necessary to protect sensitive electrical equipment from pulsed electric and magnetic fields. To accomplish this electromagnetic shielding structures similar to Faraday Cages are often implemented. If the equipment is inside a facility that has been reinforced with rebar, the rebar can be used as part of a lighting protection system. Unfortunately, such shields are not perfect and allow electromagnetic fields to be created inside due to discontinuities in the structure, penetrations, and finite conductivity of the shield. In order to perform an analysis of such a structure it is important to first determine the effect of the finite impedance of the conductors used in the shield. In this paper we will discuss the impedances of different cylindrical conductors in the time domain. For a time varying pulse the currents created in the conductor will have different spectral components, which will affect the current density due to skin effects. Many construction materials use iron and different types of steels that have a nonlinear permeability. The nonlinear material can have an effect on the impedance of the conductor depending on the B-H curve. Although closed form solutions exist for the impedances of cylindrical conductors made of linear materials, computational techniques are needed for nonlinear materials. Simulations of such impedances are often technically challenging due to the need for a computational mesh to be able to resolve the skin depths for the different spectral components in the pulse. The results of such simulations in the time domain will be shown and used to determine the impedances of cylindrical conductors for lightning current pulses that have low frequency content.
Kim, Juntae; Helgeson, Matthew E., E-mail: helgeson@engineering.ucsb.edu [Department of Chemical Engineering, University of California Santa Barbara, Santa Barbara, California 93106 (United States); Merger, Dimitri; Wilhelm, Manfred [Institute for Chemical Technology and Polymer Chemistry, Karlsruhe Institute of Technology, 76131 Karlsruhe (Germany)
2014-09-01T23:59:59.000Z
We investigate yielding in a colloidal gel that forms a heterogeneous structure, consisting of a two-phase bicontinuous network of colloid-rich domains of fractal clusters and colloid-poor domains. Combining large amplitude oscillatory shear measurements with simultaneous small and ultra-small angle neutron scattering (rheo-SANS/USANS), we characterize both the nonlinear mechanical processes and strain amplitude-dependent microstructure underlying yielding. We observe a broad, three-stage yielding process that evolves over an order of magnitude in strain amplitude between the onset of nonlinearity and flow. Analyzing the intracycle response as a sequence of physical processes reveals a transition from elastic straining to elastoplastic thinning (which dominates in region I) and eventually yielding (which evolves through region II) and flow (which saturates in region III), and allows quantification of instantaneous nonlinear parameters associated with yielding. These measures exhibit significant strain rate amplitude dependence above a characteristic frequency, which we argue is governed by poroelastic effects. Correlating these results with time-averaged rheo-USANS measurements reveals that the material passes through a cascade of structural breakdown from large to progressively smaller length scales. In region I, compression of the fractal domains leads to the formation of large voids. In regions II and III, cluster-cluster correlations become increasingly homogeneous, suggesting breakage and eventually depercolation of intercluster bonds at the yield point. All significant structural changes occur on the micron-scale, suggesting that large-scale rearrangements of hundreds or thousands of particles, rather than the homogeneous rearrangement of particle-particle bonds, dominate the initial yielding of heterogeneous colloidal gels.
Appendix b: Forms and Information Appendix b: Forms and Information Updated September 2013
Hart, Gus
Pages Template - Thesis ADV Form 11d Preliminary Pages Template - Dissertation ADV Form 12 Student Dissertation Publishing ADV Form 14 Survey of Earned Doctorate Link to current GS forms: http
Alumina forming iron base superalloy
Yamamoto, Yukinori; Muralidharan, Govindarajan; Brady, Michael P.
2014-08-26T23:59:59.000Z
An austenitic stainless steel alloy, consists essentially of, in weight percent 2.5 to 4 Al; 25 to 35 Ni; 12 to 19 Cr; at least 1, up to 4 total of at least one element selected from the group consisting of Nb and Ta; 0.5 to 3 Ti; less than 0.5 V; 0.1 to 1 of at least on element selected from the group consisting of Zr and Hf; 0.03 to 0.2 C; 0.005 to 0.1 B; and base Fe. The weight percent Fe is greater than the weight percent Ni. The alloy forms an external continuous scale including alumina, and contains coherent precipitates of .gamma.'-Ni.sub.3Al, and a stable essentially single phase FCC austenitic matrix microstructure. The austenitic matrix is essentially delta-ferrite-free and essentially BCC-phase-free.
A. Schenker
2000-12-08T23:59:59.000Z
The US DOE must provide a reasonable assurance that the performance objectives for the Yucca Mountain Project (YMP) potential radioactive-waste repository can be achieved for a 10,000-year post-closure period. The guidance that mandates this direction is under the provisions of 10 CFR Part 63 and the US Department of Energy's ''Revised Interim Guidance Pending Issuance of New US Nuclear Regulatory Commission (NRC) Regulations (Revision 01, July 22, 1999), for Yucca Mountain, Nevada'' (Dyer 1999 and herein referred to as DOE's Interim Guidance). This assurance must be demonstrated in the form of a performance assessment that: (1) identifies the features, events, and processes (FEPs) that might affect the performance of the potential geologic repository; (2) examines the effects of such FEPs on the performance of the potential geologic repository; (3) estimates the expected annual dose to a specified receptor group; and (4) provides the technical basis for inclusion or exclusion of specific FEPs.
Extension of Chern-Simons forms
Konitopoulos, Spyros; Savvidy, George [Demokritos National Research Center, Ag. Paraskevi, Athens (Greece)
2014-06-15T23:59:59.000Z
We investigate metric independent, gauge invariant, and closed forms in the generalized Yang-Mills (YM) theory. These forms are polynomial on the corresponding fields strength tensors – curvature forms and are analogous to the Pontryagin-Chern densities in the YM gauge theory. The corresponding secondary characteristic classes have been expressed in integral form in analogy with the Chern-Simons form. Because they are not unique, the secondary forms can be dramatically simplified by the addition of properly chosen differentials of one-step-lower-order forms. Their gauge variation can also be found yielding the potential anomalies in the gauge field theory.
On study of nonlinear viscoelastic behavior of red blood cell membrane
Horacio Castellini; Bibiana Riquelme; Patricia Foresto
2007-03-15T23:59:59.000Z
The linear viscoelastic behavior of the red blood cell membrane of mammal and human was studied in previous works proposing different experimental methods to determine their viscoelastic parameters. In the present work the nonlinear component of dynamic viscosity of the red blood cell membrane by nonlinear time series analysis is used. For such aim, it obtained time series of test in vitro of samples of humans and rats red blood cells using the Erythrodeformeter in oscillating regime. The signal filtrate suppresses any linear behavior as well as represented by a system of linear ordinary differential equations. The test shown as much in humans as in rats resonance frequencies associated to an attractor of unknown nature independently of excitation in the physiological range. The preliminary studies shown that attractor could be correspond to a complex form bull. These results allow to extend the present knowledge on dynamic of the cellular membrane to similar stimulus which happens in the blood circulation and it will allows to make better models of the same one.
Fully Nonlinear Edge Gyrokinetic Simulations of Kinetic Geodesic-Acoustic Modes and Boundary Flows
Xu, X Q; Belli, E; Bodi, K; Candy, J; Chang, C S; Cohen, B I; Cohen, R H; Colella, P; Dimits, A M; Dorr, M R; Gao, Z; Hittinger, J A; Ko, S; Krasheninnikov, S; McKee, G R; Nevins, W M; Rognlien, T D; Snyder, P B; Suh, J; Umansky, M V
2008-09-18T23:59:59.000Z
We present edge gyrokinetic neoclassical simulations of tokamak plasmas using the fully nonlinear (full-f) continuum code TEMPEST. A nonlinear Boltzmann model is used for the electrons. The electric field is obtained by solving the 2D gyrokinetic Poisson Equation. We demonstrate the following: (1) High harmonic resonances (n > 2) significantly enhance geodesic-acoustic mode (GAM) damping at high-q (tokamak safety factor), and are necessary to explain both the damping observed in our TEMPEST q-scans and experimental measurements of the scaling of the GAM amplitude with edge q{sub 95} in the absence of obvious evidence that there is a strong q dependence of the turbulent drive and damping of the GAM. (2) The kinetic GAM exists in the edge for steep density and temperature gradients in the form of outgoing waves, its radial scale is set by the ion temperature profile, and ion temperature inhomogeneity is necessary for GAM radial propagation. (3) The development of the neoclassical electric field evolves through different phases of relaxation, including GAMs, their radial propagation, and their long-time collisional decay. (4) Natural consequences of orbits in the pedestal and scrape-off layer region in divertor geometry are substantial non-Maxwellian ion distributions and flow characteristics qualitatively like those observed in experiments.
Nonlinear saturation of ideal interchange modes in a sheared magnetic field
Beklemishev, A.D.
1990-09-01T23:59:59.000Z
Pressure-driven ideal modes cannot completely interchange flux tubes of a sheared magnetic field; instead, they saturate, forming new helical equilibria. These equilibria are studied both analytically and numerically with reduced MHD equations in a flux-conserving Lagrangian representation. For unstable localized modes, the structure of the nonlinear layer generated around the resonant flux surface depends on the value of Mercier parameter D{sub M}. Its width is found to be proportional to the position of the inflection point on the linear eigenfunction. Perturbed surfaces in equilibrium always have folds, i.e., areas where the direction of the original reduced magnetic field is reserved. But only far from the instability threshold does the internal structure of the nonlinear layer resemble bubble' formation. The appearance of sheet currents and island-like structures along the resonant flux surface may be of interest for the description of forced reconnection in models with finite resistivity. Analytic results are found to be in agreement with 2-D numerical simulations. This study also includes the case of ballooning instability by representing nonlocal driving terms through the matching parameter {Delta}{prime}, which defines the outer boundary conditions for the interchange layer. 12 refs., 9 figs.
Chjan C. Lim
2006-08-09T23:59:59.000Z
A new variational principle - extremizing the fixed frame kinetic energy under constant relative enstrophy - for a coupled barotropic flow - rotating solid sphere system is introduced with the following consequences. In particular, angular momentum is transfered between the fluid and the solid sphere through a modelled torque mechanism. The fluid's angular momentum is therefore not fixed but only bounded by the relative enstrophy, as is required of any model that supports super-rotation. The main results are: At any rate of spin $\\Omega $ and relative enstrophy, the unique global energy maximizer for fixed relative enstrophy corresponds to solid-body super-rotation; the counter-rotating solid-body flow state is a constrained energy minimum provided the relative enstrophy is small enough, otherwise, it is a saddle point. For all energy below a threshold value which depends on the relative enstrophy and solid spin $\\Omega $, the constrained energy extremals consist of only minimizers and saddles in the form of counter-rotating states$.$ Only when the energy exceeds this threshold value can pro-rotating states arise as global maximizers. Unlike the standard barotropic vorticity model which conserves angular momentum of the fluid, the counter-rotating state is rigorously shown to be nonlinearly stable only when it is a local constrained minima. The global constrained maximizer corresponding to super-rotation is always nonlinearly stable.
Simulations and model of the nonlinear Richtmyer–Meshkov instability
Dimonte, Guy [Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Ramaprabhu, P. [Univ. of North Carolina, Charlotte, NC (United States)
2010-01-01T23:59:59.000Z
The nonlinear evolution of the Richtmyer-Meshkov (RM) instability is investigated using numerical simulations with the FLASH code in two-dimensions (2D). The purpose of the simulations is to develop an empiricial nonlinear model of the RM instability that is applicable to inertial confinement fusion (ICF) and ejecta formation, namely, at large Atwood number A and scaled initial amplitude kh_{o} (k ? wavenumber) of the perturbation. The FLASH code is first validated with a variety of RM experiments that evolve well into the nonlinear regime. They reveal that bubbles stagnate when they grow by an increment of 2/k and that spikes accelerate for A > 0.5 due to higher harmonics that focus them. These results are then compared with a variety of nonlinear models that are based on potential flow. We find that the models agree with simulations for moderate values of A < 0.9 and kh_{o}< 1, but not for the larger values that characterize ICF and ejecta formation. We thus develop a new nonlinear empirical model that captures the simulation results consistent with potential flow for a broader range of A and kh_{o}. Our hope is that such empirical models concisely capture the RM simulations and inspire more rigorous solutions.
Global analysis of proton elastic form factor data with two-photon exchange corrections
J. Arrington; W. Melnitchouk; J. A. Tjon
2007-09-01T23:59:59.000Z
We use the world's data on elastic electron-proton scattering and calculations of two-photon exchange effects to extract corrected values of the proton's electric and magnetic form factors over the full Q^2 range of the existing data. Our analysis combines the corrected Rosenbluth cross section and polarization transfer data, and is the first extraction of G_Ep and G_Mp including explicit two-photon exchange corrections and their associated uncertainties. In addition, we examine the angular dependence of the corrected cross sections, and discuss the possible nonlinearities of the cross section as a function of epsilon.