Marsden, Jerrold - Control and Dynamical Systems Program, Division of Engineering and Applied Science, California Institute of Technology

• Concatenating Variational Principles and the Kinetic Stress-Energy-Momentum Tensor
• Bias-free time-integrating optical correlator using a photorefractive crystal
• ZAMM Z. Angew. Math. Mech. 88, No. 9, 677708 (2008) / DOI 10.1002/zamm.200700173 Variational integrators for constrained dynamical systems
• The Jacobi-Maupertuis Principle in Variational Integrators Sujit Nair*, Sina Ober-Blobaum^ and Jerrold E. Marsden*
• Proceedings of IDETC/MSNDC 2007 ASME 2007 International Design Engineering Technical Conferences &
• Modelling lexical redundancy for machine translation David Talbot and Miles Osborne
• To appear in the SIGGRAPH conference proceedings Unstructured Lumigraph Rendering
• Geometric analysis of optical frequency conversion and its control
• The Euler-Poincare Equations and Double Bracket Dissipation
• Author's personal copy The correlation between surface drifters and coherent structures based on
• Digital Object Identifier (DOI) 10.1007/s00220-009-0849-6 Commun. Math. Phys. 290, 399435 (2009)
• Feedback Stabilization of Relative Equilibria for Mechanical Systems with Symmetry
• Dynamics of PDE, Vol.2, No.4, 281-300, 2005 The Lie-Poisson Structure of the Euler Equations of an Ideal Fluid
• Open-boundary modal analysis: Interpolation, extrapolation, and filtering
• aYOLD DIFFUSION IN THE DYNAMICS OF A 4-MACHINE POWER SYSTEM UNDERGOING A LARGE FAL'LT F a t h i Y . A . SalamJerrold E. Marsde.n* Pravin P. Varaiya*
• 10.1098/rsta.2001.0852 Global well-posedness for the Lagrangian
• CS65: Lab 2 Assigned Tuesday, September 7
• Symplectic Reduction for Semidirect Products and Central Extensions.
• Mechanical Systems: Symmetry and Reduction Jerrold E. Marsden
• Controlled Lagrangians and the Stabilization of Mechanical Systems I: The First Matching Theorem
• DYNAMIC MODELING OF IN THE ISOTROPIC LAGRANGIAN AVERAGED NAVIER-STOKES-EQUATIONS
• Uncertainty in the Dynamics of Conservative Maps Oliver Junge
• INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING Int. J. Numer. Meth. Engng 2008; 74:11621197
• Visualization of Orbits and Pattern Evocation for the Double Spherical Pendulum
• Fluid Dynamics Research 33 (2003) 333356 Leapfrogging vortex rings: Hamiltonian structure, geometric
• Cocycles, Compatibility, and Poisson Brackets for Complex Fluids
• IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS,VOL. CAS-30, NO. 9, SEPTEMBER 1983 697 Chaos and Arnold Diffusion in Dynamical
• Vol. 60 (2007) REPORTS ON MATHEMATICAL PHYSICS No. 3 REDUCTION OF DIRAC STRUCTURES AND THE
• Multisymplectic Geometry, Covariant Hamiltonians, and Water Waves
• Variational Integrators for Maxwell's Equations with Sources , Y. Tong1,2
• Optimal Reconfiguration of Formation Flying Spacecraft --a Decentralized Approach
• DISCRETE EULER-POINCARE AND LIE-POISSON EQUATIONS JERROLD E. MARSDEN, SERGEY PEKARSKY, AND STEVE SHKOLLER
• Multisymplectic Geometry, Variational Integrators, and Nonlinear PDEs
• Few-Body Systems 38, 161166 (2006) DOI 10.1007/s00601-005-0138-7
• ZAMM Z. Angew. Math. Mech. 85, No. 9, 618642 (2005) / DOI 10.1002/zamm.200410207 A geometric treatment of Jellett's egg
• COMMUNICATIONS ON Website: http://AIMsciences.org PURE AND APPLIED ANALYSIS
• Averaged Template Matching Equations Anil N. Hirani, Jerrold E. Marsden, and James Arvo
• Optical Science and Engineering Program University of New Mexico
• SIAM J. APPLIED DYNAMICAL SYSTEMS c 2006 Society for Industrial and Applied Mathematics Vol. 5, No. 2, pp. 252279
• Lagrangian analysis of fluid transport in empirical vortex ring flows Shawn C. Shadden
• Poisson structure and invariant manifolds on Lie groups Jerrold E. Marsden
• On spatial and material covariant balance laws in elasticity
• Collision Avoidance for Multiple Agent Systems Dong Eui Chang
• AN OPTIMAL CONTROL FORMULATION FOR INVISCID INCOMPRESSIBLE IDEAL FLUID FLOW
• Stability and Drift of Underwater Vehicle Dynamics: Mechanical Systems with Rigid Motion Symmetry
• Physica D 214 (2006) 2532 www.elsevier.com/locate/physd
• OPTIMIZATION OF SPACECRAFT TRAJECTORIES: A METHOD COMBINING INVARIANT MANIFOLD TECHNIQUES AND
• EXPONENTIALLY SMALL ESTIMATES FOR SEPARATRIX SPLITTINGS
• The Limits of Hamiltonian Structures in Three Dimensional Elasticity, Shells, and Rods
• Geometric Mechanics, Stability and Control Jerrold E. Marsden
• Transport of Mars-Crossing Asteroids from the Quasi-Hilda Region Michael Dellnitz,1
• RESONANCE AND CAPTURE OF JUPITER COMETS W. S. KOON1, M. W. LO2, J. E. MARSDEN1 and S. D. ROSS1
• THE MOTION OF SOLID BODIES IN POTENTIAL FLOW WITH CIRCULATION: A GEOMETRIC OUTLOOK
• Potential Shaping and the Method of Controlled Lagrangians
• QUALITATIVE TECHNIQUES FOR BIFURCATION ANALYSIS OF COMPLEX SYSTEMS*
• AN ALMOST POISSON STRUCTURE FOR THE GENERALIZED RIGID BODY EQUATIONS
• Momentum Maps and Measure-valued Solutions (Peakons, Filaments and Sheets)
• REDUCTION OF CONTROLLED LAGRANGIAN AND HAMILTONIAN SYSTEMS WITH SYMMETRY
• Stabilization of Relative Equilibria II Sameer M. Jalnapurkar
• Stabilization of Relative Equilibria Sameer M. Jalnapurkar
• Stabilization of Mechanical Systems Using Controlled Lagrangians
• Mass effects and internal space geometry in triatomic reaction dynamics Tomohiro Yanao,* Wang S. Koon,
• TITAN TRAJECTORY DESIGN USING INVARIANT MANIFOLDS AND RESONANT GRAVITY ASSISTS
• JOURNAL OF GEOMETRIC MECHANICS doi:10.3934/jgm.2009.1.87 c American Institute of Mathematical Sciences
• Commun. Math. Phys. 99,319-345 (1985) Communications Mathematical
• Digital Object Identifier (DOI) 10.1007/s00205-002-0207-8 Arch. Rational Mech. Anal. (2002)
• Vol. 63 (2009) REPORTS ON MATHEMATICAL PHYSICS No. 1 COVARIANT BALANCE LAWS IN CONTINUA WITH MICROSTRUCTURE
• Theor. Comput. Fluid Dyn. (2008) 22: 3764 DOI 10.1007/s00162-007-0065-y
• Journal of Geometry and Physics 48 (2003) 5283 Some remarks on Lagrangian and Poisson
• Finite element analysis of nonsmooth contact C. Kane, E.A. Repetto, M. Ortiz *, J.E. Marsden
• DISCRETE MECHANICS AND OPTIMAL CONTROL Oliver Junge
• Variational Collision Integrators and Optimal
• Geometry and Control of Three-Wave Interactions Mark S. Alber
• GROUPS OF DIFFEOMORPHISMS AND THE SOLUTION OF THE CLASSICAL EULER EQUATIONS FOR A
• Commun. math. Phys. 30, 79--81 (1973) by Springer-Verlag 1973
• BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY
• BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY
• BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY
• Vol. 42, :No. 3 DUKE. MATHEMATICAL JOURNAL(C) September 1975 DEFORMATIONS OF THE SCALAR CURVATURE
• Communications in Commun. math. Phys. 51,283--296 (1976) Mathematical
• PHYSICS REPORTS A Review Section of Physics Letters
• Communications in Commun. Math. Phys. 78,455-478 (1981) MathatiCl
• A Partial Differential Equation with Infinitely many Periodic Orbits: Chaotic Oscillations of a Forced Beam
• BIFURC1.TI~ AND LIUEARIZATION STABILITY IN THE TRACTION PROBLEM Jerrold E. Marsden
• SlAM J. MATH. ANAL. Vol. 14, No. 6, November 983
• SIAM J. MATH. ANAL. Vol. 15, No. 6, November 1984
• The Hamiltonian Structure of Nonlinear Elasticity: The Material and Convective Representations of Solids, Rods,
• Generic Bifurcation of Hamiltonian Vector Fields with Symmetry
• Lagrangian Reduction and the Double Spherical Jerrold E. Marsden
• The Reduced Euler-Lagrange Equations Jerrold E. Marsden
• Dissipation Induced Instabilities Anthony Bloch
• Energy Dependent Schrodinger Operators and Complex Hamiltonian Systems on Riemann Surfaces
• The Geometry of Peaked Solitons and Billiard Solutions of a Class of Integrable PDE's
• Geometric Foundations of Motion and Control Jerrold E. Marsden
• DYNAMICAL METHODS FOR POLAR DECOMPOSITION AND INVERSION OF MATRICES
• The Hamiltonian and Lagrangian Approaches to the Dynamics of Nonholonomic Systems
• Lagrangian Reduction, the EulerPoincare Equations, and Semidirect Products
• Geometric Phases, Reduction and Lie-Poisson Structure for the Resonant Three-wave Interaction
• Matching and Stabilization by the Method of Controlled Lagrangians
• Symmetries in Motion: Geometric Foundations of Motion Control Jerrold E. Marsden Jim Ostrowski
• Point vortices on a sphere: Stability of relative equilibria Sergey Pekarskya)
• On the Hamiltonian Structure and Three-dimensional Instabilities of Rotating Liquid Bridges
• Symplectic-Energy-Momentum Preserving Variational Integrators
• The Orbit Bundle Picture of Cotangent Bundle Jerrold E. Marsden
• Shoot the Moon Wang Sang Koon
• Variational Integrators and the Newmark Algorithm for Conservative and Dissipative
• The Euler Equations on Thin Domains Jerrold E. Marsden
• Center for Turbulence Research Proceedings of the Summer Program 2000
• Asymptotic Stabilization of the Heavy Top Using Controlled Lagrangians 1
• Matching and Stabilization of Low-dimensional Nonholonomic Systems
• Potential and Kinetic Shaping for Control of Underactuated Mechanical Systems
• INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING Int. J. Numer. Meth. Engng 2001; 51:479504
• * Correspondence to: A.M. Bloch, Department of Mathematics, university of Michigan, Ann Arbor, MI48109, U.S.A. R E-mail: abloch@math.lsa.umich.edu
• AIAA 2001-2645 NUMERICAL SIMULATIONS OF THE LAGRANGIAN AVERAGED
• PHYSICAL DISSIPATION AND THE METHOD OF CONTROLLED LAGRANGIANS
• INVARIANT MANIFOLDS, THE SPATIAL THREE-BODY PROBLEM
• INSTITUTE OF PHYSICS PUBLISHING NONLINEARITY Nonlinearity 15 (2002) 13091341 PII: S0951-7715(02)26834-6
• GEOMETRIC DERIVATION OF THE DELAUNAY VARIABLES AND GEOMETRIC PHASES
• Lagrangian Structures in Very High-Frequency Radar Data and Optimal Pollution Timing
• COMMUNICATIONS ON Website: http://AIMsciences.org PURE AND APPLIED ANALYSIS
• Gyroscopic Forces and Collision Avoidance with Convex Obstacles
• Celest Mech Dyn Astr (2009) 103:227249 DOI 10.1007/s10569-008-9180-3
• Controlled Lagrangian Methods and Tracking of Accelerated Motions
• MOSCOW MATHEMATICAL JOURNAL Volume 3, Number 3, JulySeptember 2003, Pages 833867
• Controlled Lagrangian Systems with Gyroscopic Forcing and Dissipation
• Relative Equilibria for the Generalized Rigid Body Antonio Hernandez-Gardu~no
• BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY
• Extremely wideband signal shaping using one-and two-dimensional nonuniform nonlinear transmission lines
• M. DELLNITZ1, K. A. GRUBITS2, J. E. MARSDEN2, K. PADBERG1, B. THIERE1
• Dirac Structures in Lagrangian Mechanics Part I: Implicit Lagrangian Systems
• Dirac Structures in Lagrangian Mechanics Part II: Variational Structures
• Dissipation-induced instabilities in finite dimensions R. Krechetnikov
• 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim PAMM Proc. Appl. Math. Mech. 7, 10805031080504 (2007) / DOI 10.1002/pamm.200700486
• Copyright by SIAM. Unauthorized reproduction of this article is prohibited. SIAM REVIEW c 2008 Society for Industrial and Applied Mathematics
• Found Comput Math DOI 10.1007/s10208-008-9030-4
• Ann Glob Anal Geom (2008) 34:263285 DOI 10.1007/s10455-008-9108-x
• Study of blood flow impact on growth of thrombi using a multiscale model Zhiliang Xu,*a
• Physica D 238 (2009) 490501 Contents lists available at ScienceDirect
• Physica D 238 (2009) 11521160 Contents lists available at ScienceDirect
• Z. angew. Math. Phys. 60 (2009) 723738 0044-2275/09/040723-16
• Digital Object Identifier (DOI) 10.1007/s00205-008-0193-6 Arch. Rational Mech. Anal. 194 (2009) 611668
• INVARIANT MANIFOLDS, DISCRETE MECHANICS, AND TRAJECTORY DESIGN FOR A MISSION TO TITAN
• IOP PUBLISHING JOURNAL OF PHYSICS A: MATHEMATICAL AND THEORETICAL J. Phys. A: Math. Theor. 42 (2009) 412004 (18pp) doi:10.1088/1751-8113/42/41/412004
• DISCRETE AND CONTINUOUS doi:10.3934/dcdss.2010.3.19 DYNAMICAL SYSTEMS SERIES S
• Interconnection of Dirac Structures and Lagrange-Dirac Dynamical Systems
• Optimal Trajectory Generation in Ocean Flows Tamer Inanc, Shawn C. Shadden and Jerrold E. Marsden
• Variational integrators for degenerate Lagrangians, with application to point vortices
• Stress-Energy-Momentum Tensors Belinfante-Rosenfeld Formula
• Matching and stabilization of discrete mechanical systems Anthony M. Bloch1
• Communications in Commun. Math. Phys. 82,523-544 (1982) Mathematical
• INSTITUTE OF PHYSICS PUBLISHING JOURNAL OF PHYSICS A: MATHEMATICAL AND GENERAL J. Phys. A: Math. Gen. 39 (2006) 55215544 doi:10.1088/0305-4470/39/19/S12
• Variational integrators, the Newmark scheme, and dissipative systems
• Universal IP multicast delivery Beichuan Zhang a,*, Wenjie Wang b
• Optimal Pollution Mitigation in Monterey Bay Based on Coastal Radar Data and Nonlinear
• * Correspondence to: Sanjay Lall, Department of Astronautics and Aeronautics, Stanford University, Stanford, CA 94305-4035, U.S.A.
• Gyration-radius dynamics in structural transitions of atomic clusters Tomohiro Yanao,a
• MATCHING AND STABILIZATION OF THE UNICYCLE WITH RIDER
• Geometric Mechanics and the Dynamics of Asteroid Pairs Hernan Cendra
• BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY
• The EulerPoincare Equations and Semidirect Products with Applications to Continuum Theories
• Normal Forms for Threedimensional Parametric Instabilities in Ideal Hydrodynamics
• ACC99-IEEE0267 Model reduction for analysis
• Lagrangian coherent structures in n-dimensional systems Francois Lekien
• Optimal Control for Holonomic and Nonholonomic Mechanical Systems with Symmetry
• Relaxed Matching for Stabilization of
• Found Comput Math (2008) 8: 469500 DOI 10.1007/s10208-008-9025-1
• The Geometric Structure of Nonholonomic Mechanics Wang Sang Koon
• J. Fluid Mech. (2007), vol. 593, pp. 315331. c 2007 Cambridge University Press doi:10.1017/S0022112007008865 Printed in the United Kingdom
• Computational and Nonlinear
• Controlled Lagrangians and Potential Shaping for Stabilization of Discrete Mechanical Systems
• DISCRETE AND CONTINUOUS Website: http://AIMsciences.org DYNAMICAL SYSTEMS
• Physica D 212 (2005) 271304 www.elsevier.com/locate/physd
• INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING Int. J. Numer. Meth. Engng 2005; 63:455471
• DOI: 10.1007/s00332-004-0544-x J. Nonlinear Sci. Vol. 15: pp. 93132 (2005)
• SIAM J. APPLIED DYNAMICAL SYSTEMS c 2004 Society for Industrial and Applied Mathematics Vol. 3, No. 3, pp. 352377
• Time-frequency analysis of the restricted three body problem: Transport and resonance transitions.
• Physica D 184 (2003) 304318 Structure-preserving model reduction for mechanical systems
• INSTITUTE OF PHYSICS PUBLISHING NONLINEARITY Nonlinearity 16 (2003) 12571275 PII: S0951-7715(03)52655-X
• This is page 1 Printer: Opaque this
• ESAIM: Control, Optimisation and Calculus of Variations Will be set by the publisher URL: http://www.emath.fr/cocv/
• The Lyapunov-Malkin Theorem and Stabilization of the Unicycle with Rider
• Some Comments on the History, Theory, and Applications of Symplectic Reduction
• Abstract mechanical connection and Abelian reconstruction for almost Kahler manifolds.
• Lagrangian Reduction by Stages Memoirs of the American Mathematical Society
• Geometric Mechanics, Lagrangian Reduction, and Nonholonomic Systems
• Frictional Collisions Off Sharp Objects C. Kane, J.E. Marsden, M. Ortiz, A. Pandolfi
• SYMMETRY REDUCTION OF DISCRETE LAGRANGIAN MECHANICS ON LIE GROUPS
• ASYMPTOTIC STABILIZATION OF EULER-POINCARE MECHANICAL SYSTEMS
• Stabilization of the Pendulum on a Rotor Arm by the Method of Controlled Lagrangians
• EMPIRICAL MODEL REDUCTION OF CONTROLLED NONLINEAR SYSTEMS
• Stabilization of the Unicycle with Rider Dmitry V. Zenkov1
• Park City Lectures on Mechanics, Dynamics, and Symmetry
• Model Reduction, Centering, and the Karhunen-Loeve Expansion
• Discrete Rigid Body Dynamics and Optimal Control Anthony M. Bloch1
• Poisson Reduction for Nonholonomic Mechanical Systems with Symmetry
• Mechanical Integrators Derived from a Discrete Variational Principle
• Mechanical Systems with Symmetry, Variational Principles,
• Asymptotic Stability for Equilibria of Nonlinear Semiflows
• Arch. Rational Mech. Anal. 136 (1996) 21-99. c Springer-Verlag 1996 Nonholonomic Mechanical Systems
• Remarks on Geometric Mechanics Jerrold E. Marsden
• GEOMETRIC PHASES AND MONODROMY AT SINGULARITIES Mark S. Alber1 and Jerrold E. Marsden2
• Nonlinearity 5 (1992) 148. Printed in the UK The heavy top: a geometric treatment
• Dissipation and Controlled Euler-Poincare Systems C. A. Woolsey1
• SIAM J. MATH. ANAL. Vol. 14, No. 6, November 1983
• Reduction of Poisson Manifolds Jerrold E. Marsden
• Hamiltonian Systems with Symmetry, Coadjoint Orbits and Plasma Physics
• IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS,VOL. CAS-31,NO. 8, AUGUST 1984 613 Arnold Diffusion in the Swing Equations
• BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY
• ON CONTINUITY AND SMOOTHNESS OF GROUP ACTIONS
• Complex Billiard Hamiltonian Systems and Nonlinear Waves
• Symplectic reduction and topology for applications in classical molecular F. J. Lin and J. E. Marsden
• The Energy-Momentum Method for the Stability of Nonholonomic Systems
• DISCRETE AND CONTINUOUS Website: http://AIMsciences.org DYNAMICAL SYSTEMSSERIES B
• Representations of Dirac Structures and Implicit
• INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING Int. J. Numer. Meth. Engng 2004; 60:153212 (DOI: 10.1002/nme.958)
• Nonholonomic Anthony M. Bloch, Jerrold E. Marsden, Dmitry V. Zenkov
• Reduction Theory and the LagrangeRouth Equations Jerrold E. Marsden
• The Maxwell-Vlasov equations in Euler-Poincare form
• B i b l i o g r a p h y Jerrold E. Marsden
• Flat Nonholonomic Matching Dmitry V. Zenkov1
• IL NUOVO CIMENTO Vol. 22, N. 6 Nov-Dec. 1999 Stability of Relative Equilibria of Point Vortices on a Sphere and
• Control for an Autonomous Bicycle Neil H. Getz Jerrold E. Marsden
• OPTIMAL CONTROL APPLICATIONS AND METHODS Optim. Control Appl. Meth. (2009)
• Digital Object Identifier (DOI) 10.1007/s00205-002-0212-y Arch. Rational Mech. Anal. (2003)