Phase-selective entrainment of nonlinear oscillator ensembles

Zlotnik, Anatoly V.; Nagao, Raphael; Kiss, Istvan Z.; Li, Jr -Shin

doi:10.1038/ncomms10788

Title: Phase-selective entrainment of nonlinear oscillator ensembles

Abstract

The ability to organize and finely manipulate the hierarchy and timing of dynamic processes is important for understanding and influencing brain functions, sleep and metabolic cycles, and many other natural phenomena. However, establishing spatiotemporal structures in biological oscillator ensembles is a challenging task that requires controlling large collections of complex nonlinear dynamical units. In this report, we present a method to design entrainment signals that create stable phase patterns in ensembles of heterogeneous nonlinear oscillators without using state feedback information. We demonstrate the approach using experiments with electrochemical reactions on multielectrode arrays, in which we selectively assign ensemble subgroups into spatiotemporal patterns with multiple phase clusters. As a result, the experimentally confirmed mechanism elucidates the connection between the phases and natural frequencies of a collection of dynamical elements, the spatial and temporal information that is encoded within this ensemble, and how external signals can be used to retrieve this information.

Authors:

Zlotnik, Anatoly V. ^[1]; Nagao, Raphael ^[2]; Kiss, Istvan Z. ^[2]; Li, Jr -Shin ^[3]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Saint Louis Univ., St. Louis, MO (United States)
Washington Univ. in St. Louis, St. Louis, MO (United States)

Publication Date:: Fri Mar 18 00:00:00 EDT 2016

Research Org.:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1291228

Report Number(s):: LA-UR-16-20738
Journal ID: ISSN 2041-1723

Grant/Contract Number:: AC52-06NA25396

Resource Type:: Accepted Manuscript

Journal Name:: Nature Communications

Additional Journal Information:: Journal Volume: 7; Journal ID: ISSN 2041-1723

Publisher:: Nature Publishing Group

Country of Publication:: United States

Language:: English

Subject:: 59 BASIC BIOLOGICAL SCIENCES; Biological Science

Citation Formats


                    Zlotnik, Anatoly V., Nagao, Raphael, Kiss, Istvan Z., and Li, Jr -Shin. Phase-selective entrainment of nonlinear oscillator ensembles.  United States: N. p., 2016. 
Web.  doi:10.1038/ncomms10788.

Copy to clipboard


                    Zlotnik, Anatoly V., Nagao, Raphael, Kiss, Istvan Z., & Li, Jr -Shin. Phase-selective entrainment of nonlinear oscillator ensembles.  United States.  https://doi.org/10.1038/ncomms10788

Copy to clipboard


                    Zlotnik, Anatoly V., Nagao, Raphael, Kiss, Istvan Z., and Li, Jr -Shin. Fri .  
"Phase-selective entrainment of nonlinear oscillator ensembles".  United States.  https://doi.org/10.1038/ncomms10788.  https://www.osti.gov/servlets/purl/1291228.

Copy to clipboard


                    
@article{osti_1291228,

  title        = {Phase-selective entrainment of nonlinear oscillator ensembles},

  author       = {Zlotnik, Anatoly V. and Nagao, Raphael and Kiss, Istvan Z. and Li, Jr -Shin},

  abstractNote = {The ability to organize and finely manipulate the hierarchy and timing of dynamic processes is important for understanding and influencing brain functions, sleep and metabolic cycles, and many other natural phenomena. However, establishing spatiotemporal structures in biological oscillator ensembles is a challenging task that requires controlling large collections of complex nonlinear dynamical units. In this report, we present a method to design entrainment signals that create stable phase patterns in ensembles of heterogeneous nonlinear oscillators without using state feedback information. We demonstrate the approach using experiments with electrochemical reactions on multielectrode arrays, in which we selectively assign ensemble subgroups into spatiotemporal patterns with multiple phase clusters. As a result, the experimentally confirmed mechanism elucidates the connection between the phases and natural frequencies of a collection of dynamical elements, the spatial and temporal information that is encoded within this ensemble, and how external signals can be used to retrieve this information.},

  doi          = {10.1038/ncomms10788},

  journal      = {Nature Communications},

  number       = ,

  volume       = 7,

  place        = {United States},

  year         = {Fri Mar 18 00:00:00 EDT 2016},

  month        = {Fri Mar 18 00:00:00 EDT 2016}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1038/ncomms10788

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 51 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Desynchronization of coupled electrochemical oscillators with pulse stimulations
journal, June 2005

Zhai, Yumei; Kiss, István Z.; Tass, Peter A.
Physical Review E, Vol. 71, Issue 6
DOI: 10.1103/PhysRevE.71.065202

Decomposition of Nonlinear Delayed Networks around Cluster States with Applications to Neurodynamics
journal, January 2014

Orosz, Gábor
SIAM Journal on Applied Dynamical Systems, Vol. 13, Issue 4
DOI: 10.1137/130915637

Phase-Reduction Approach to Synchronization of Spatiotemporal Rhythms in Reaction-Diffusion Systems
journal, May 2014

Nakao, Hiroya; Yanagita, Tatsuo; Kawamura, Yoji
Physical Review X, Vol. 4, Issue 2
DOI: 10.1103/physrevx.4.021032

Pathological synchronization in Parkinson's disease: networks, models and treatments
journal, July 2007

Hammond, Constance; Bergman, Hagai; Brown, Peter
Trends in Neurosciences, Vol. 30, Issue 7
DOI: 10.1016/j.tins.2007.05.004

Type I Membranes, Phase Resetting Curves, and Synchrony
journal, July 1996

Ermentrout, Bard
Neural Computation, Vol. 8, Issue 5
DOI: 10.1162/neco.1996.8.5.979

Neuronal Oscillations in Cortical Networks
journal, June 2004

Buzsaki, G.
Science, Vol. 304, Issue 5679
DOI: 10.1126/science.1099745

Emerging Coherence in a Population of Chemical Oscillators
journal, May 2002

Kiss, I. Z.
Science, Vol. 296, Issue 5573
DOI: 10.1126/science.1070757

Emerging Coherence in a Population of Chemical Oscillators
journal, May 2002

Kiss, I. Z.
Science, Vol. 296, Issue 5573
DOI: 10.1126/science.1070757

Tools for understanding and optimizing robotic gait training
journal, January 2006

Reinkensmeyer, David J.; Aoyagi, Daisuke; Emken, Jeremy L.
The Journal of Rehabilitation Research and Development, Vol. 43, Issue 5
DOI: 10.1682/JRRD.2005.04.0073

Synchronization in complex networks of phase oscillators: A survey
journal, June 2014

Dörfler, Florian; Bullo, Francesco
Automatica, Vol. 50, Issue 6
DOI: 10.1016/j.automatica.2014.04.012

Optimal Inputs for Phase Models of Spiking Neurons
journal, June 2006

Moehlis, Jeff; Shea-Brown, Eric; Rabitz, Herschel
Journal of Computational and Nonlinear Dynamics, Vol. 1, Issue 4
DOI: 10.1115/1.2338654

Optimal Subharmonic Entrainment of Weakly Forced Nonlinear Oscillators
journal, January 2014

Zlotnik, Anatoly; Li, Jr-Shin
SIAM Journal on Applied Dynamical Systems, Vol. 13, Issue 4
DOI: 10.1137/140952211

Optimal Subharmonic Entrainment
preprint, January 2014

Zlotnik, Anatoly; Li, Jr-Shin
arXiv
DOI: 10.48550/arxiv.1401.1863

The theory of electrochemical instabilities
journal, August 1992

Koper, Marc T. M.
Electrochimica Acta, Vol. 37, Issue 10
DOI: 10.1016/0013-4686(92)85080-5

Neural Synchrony in Brain Disorders: Relevance for Cognitive Dysfunctions and Pathophysiology
journal, October 2006

Uhlhaas, Peter J.; Singer, Wolf
Neuron, Vol. 52, Issue 1, p. 155-168
DOI: 10.1016/j.neuron.2006.09.020

Control and Synchronization of Neuron Ensembles
journal, August 2013

Li, Jr-Shin; Dasanayake, Isuru; Ruths, Justin
IEEE Transactions on Automatic Control, Vol. 58, Issue 8
DOI: 10.1109/TAC.2013.2250112

Oscillatory Neurocomputers with Dynamic Connectivity
journal, April 1999

Hoppensteadt, Frank C.; Izhikevich, Eugene M.
Physical Review Letters, Vol. 82, Issue 14
DOI: 10.1103/PhysRevLett.82.2983

Spectral Responses of the Human Circadian System Depend on the Irradiance and Duration of Exposure to Light
journal, May 2010

Gooley, J. J.; Rajaratnam, S. M. W.; Brainard, G. C.
Science Translational Medicine, Vol. 2, Issue 31
DOI: 10.1126/scitranslmed.3000741

Optimal design of minimum-power stimuli for phase models of neuron oscillators
journal, June 2011

Dasanayake, Isuru; Li, Jr-Shin
Physical Review E, Vol. 83, Issue 6
DOI: 10.1103/PhysRevE.83.061916

Pattern pulses: design of arbitrary excitation profiles as a function of pulse amplitude and offset
journal, April 2005

Kobzar, Kyryl; Luy, Burkhard; Khaneja, Navin
Journal of Magnetic Resonance, Vol. 173, Issue 2
DOI: 10.1016/j.jmr.2004.12.005

Optimal entrainment of neural oscillator ensembles
journal, July 2012

Zlotnik, Anatoly; Li, Jr-Shin
Journal of Neural Engineering, Vol. 9, Issue 4
DOI: 10.1088/1741-2560/9/4/046015

Neuronal Oscillations in Cortical Networks
journal, June 2004

Buzsaki, G.
Science, Vol. 304, Issue 5679
DOI: 10.1126/science.1099745

Control of inhomogeneous quantum ensembles
journal, March 2006

Li, Jr-Shin; Khaneja, Navin
Physical Review A, Vol. 73, Issue 3
DOI: 10.1103/PhysRevA.73.030302

Amplitude and Frequency Dependence of Spike Timing: Implications for Dynamic Regulation
journal, July 2003

Hunter, John D.; Milton, John G.
Journal of Neurophysiology, Vol. 90, Issue 1
DOI: 10.1152/jn.00074.2003

From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators
journal, September 2000

Strogatz, Steven H.
Physica D: Nonlinear Phenomena, Vol. 143, Issue 1-4
DOI: 10.1016/S0167-2789(00)00094-4

Weakly Connected Neural Networks
book, January 1997

Hoppensteadt, Frank C.; Izhikevich, Eugene M.
Applied Mathematical Sciences
DOI: 10.1007/978-1-4612-1828-9

Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: A theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias
journal, March 1982

Guevara, Michael R.; Glass, Leon
Journal of Mathematical Biology, Vol. 14, Issue 1
DOI: 10.1007/bf02154750

Engineering Complex Dynamical Structures: Sequential Patterns and Desynchronization
journal, June 2007

Kiss, I. Z.; Rusin, C. G.; Kori, H.
Science, Vol. 316, Issue 5833
DOI: 10.1126/science.1140858

Toward a detailed computational model for the mammalian circadian clock
journal, May 2003

Leloup, J. -C.; Goldbeter, A.
Proceedings of the National Academy of Sciences, Vol. 100, Issue 12
DOI: 10.1073/pnas.1132112100

Synchronization engineering: Theoretical framework and application to dynamical clustering
journal, June 2008

Kori, Hiroshi; Rusin, Craig G.; Kiss, István Z.
Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 18, Issue 2
DOI: 10.1063/1.2927531

Synchronization in complex oscillator networks and smart grids
journal, January 2013

Dorfler, F.; Chertkov, M.; Bullo, F.
Proceedings of the National Academy of Sciences, Vol. 110, Issue 6
DOI: 10.1073/pnas.1212134110

Stabilization of Planar Collective Motion: All-to-All Communication
journal, May 2007

Sepulchre, Rodolphe; Paley, Derek A.; Leonard, Naomi Ehrich
IEEE Transactions on Automatic Control, Vol. 52, Issue 5
DOI: 10.1109/TAC.2007.898077

Optimal Waveform for Fast Entrainment of Weakly Forced Nonlinear Oscillators
journal, July 2013

Zlotnik, Anatoly; Chen, Yifei; Kiss, István Z.
Physical Review Letters, Vol. 111, Issue 2
DOI: 10.1103/PhysRevLett.111.024102

Toward a detailed computational model for the mammalian circadian clock
journal, May 2003

Leloup, J. -C.; Goldbeter, A.
Proceedings of the National Academy of Sciences, Vol. 100, Issue 12
DOI: 10.1073/pnas.1132112100

Synchronization engineering: Theoretical framework and application to dynamical clustering
journal, June 2008

Kori, Hiroshi; Rusin, Craig G.; Kiss, István Z.
Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 18, Issue 2
DOI: 10.1063/1.2927531

Pattern pulses: design of arbitrary excitation profiles as a function of pulse amplitude and offset
journal, April 2005

Kobzar, Kyryl; Luy, Burkhard; Khaneja, Navin
Journal of Magnetic Resonance, Vol. 173, Issue 2
DOI: 10.1016/j.jmr.2004.12.005

Human sleep and circadian rhythms: a simple model based on two coupled oscillators
journal, July 1987

Strogatz, Steven H.
Journal of Mathematical Biology, Vol. 25, Issue 3
DOI: 10.1007/bf00276440

Constrained charge-balanced minimum-power controls for spiking neuron oscillators
journal, January 2015

Dasanayake, Isuru S.; Li, Jr-Shin
Systems & Control Letters, Vol. 75
DOI: 10.1016/j.sysconle.2014.09.011

Synchronization in complex networks
journal, December 2008

Arenas, Alex; Díaz-Guilera, Albert; Kurths, Jurgen
Physics Reports, Vol. 469, Issue 3
DOI: 10.1016/j.physrep.2008.09.002

Synchronization of Elliptic Bursters
journal, January 2001

Izhikevich, Eugene M.
SIAM Review, Vol. 43, Issue 2
DOI: 10.1137/S0036144500382064

A model of desynchronizing deep brain stimulation with a demand-controlled coordinated reset of neural subpopulations
journal, August 2003

Tass, Peter A.
Biological Cybernetics, Vol. 89, Issue 2
DOI: 10.1007/s00422-003-0425-7

Synchronization and rhythmic processes in physiology
journal, March 2001

Glass, Leon
Nature, Vol. 410, Issue 6825
DOI: 10.1038/35065745

Efficient Estimation of Phase-Resetting Curves in Real Neurons and its Significance for Neural-Network Modeling
journal, April 2005

Galán, Roberto F.; Ermentrout, G. Bard; Urban, Nathaniel N.
Physical Review Letters, Vol. 94, Issue 15
DOI: 10.1103/physrevlett.94.158101

Controlling Synchronization in an Ensemble of Globally Coupled Oscillators
journal, March 2004

Rosenblum, Michael G.; Pikovsky, Arkady S.
Physical Review Letters, Vol. 92, Issue 11
DOI: 10.1103/PhysRevLett.92.114102

Synchronization
book, January 2010

Pikovsky, Arkady; Rosenblum, Michael; Kurths, Jürgen
Cambridge University Press
DOI: 10.1017/CBO9780511755743

Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting
book, January 2006

Izhikevich, Eugene M.
DOI: 10.7551/mitpress/2526.001.0001

Type I Membranes, Phase Resetting Curves, and Synchrony
journal, July 1996

Ermentrout, Bard
Neural Computation, Vol. 8, Issue 5
DOI: 10.1162/neco.1996.8.5.979

Control of Synchronization of Brain Dynamics Leads to Control of Epileptic Seizures in Rodents
journal, June 2009

Good, Levi B.; Sabesan, Shivkumar; Marsh, Steven T.
International Journal of Neural Systems, Vol. 19, Issue 03
DOI: 10.1142/S0129065709001951

Waves and Patterns
book, November 1998

Epstein, Irving R.; Pojman, John A.
An Introduction to Nonlinear Chemical Dynamics
DOI: 10.1093/oso/9780195096705.003.0011

Works referencing / citing this record:

Phase matters: cancelling pathological tremor by adaptive deep brain stimulation
journal, December 2016

Moll, Christian K. E.; Engel, Andreas K.
Brain, Vol. 140, Issue 1
DOI: 10.1093/brain/aww308

A data-driven phase and isostable reduced modeling framework for oscillatory dynamical systems
journal, January 2020

Wilson, Dan
Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 30, Issue 1
DOI: 10.1063/1.5126122

Anti-phase collective synchronization with intrinsic in-phase coupling of two groups of electrochemical oscillators
journal, October 2019

Sebek, Michael; Kawamura, Yoji; Nott, Ashley M.
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 377, Issue 2160
DOI: 10.1098/rsta.2019.0095

Optimization of linear and nonlinear interaction schemes for stable synchronization of weakly coupled limit-cycle oscillators
journal, October 2019

Watanabe, Nobuhiro; Kato, Yuzuru; Shirasaka, Sho
Physical Review E, Vol. 100, Issue 4
DOI: 10.1103/physreve.100.042205

Phase model-based neuron stabilization into arbitrary clusters
journal, April 2018

Matchen, Timothy D.; Moehlis, Jeff
Journal of Computational Neuroscience, Vol. 44, Issue 3
DOI: 10.1007/s10827-018-0683-y

Stimulating at the right time: phase-specific deep brain stimulation
journal, December 2016

Cagnan, Hayriye; Pedrosa, David; Little, Simon
Brain, Vol. 140, Issue 1
DOI: 10.1093/brain/aww286

Semiclassical optimization of entrainment stability and phase coherence in weakly forced quantum limit-cycle oscillators
journal, January 2020

Kato, Yuzuru; Nakao, Hiroya
Physical Review E, Vol. 101, Issue 1
DOI: 10.1103/physreve.101.012210

Phase-amplitude reduction of transient dynamics far from attractors for limit-cycling systems
text, January 2017

Shirasaka, Sho; Kurebayashi, Wataru; Nakao, Hiroya
arXiv
DOI: 10.48550/arxiv.1701.05428

Stability of entrainment of a continuum of coupled oscillators
journal, October 2017

Snyder, Jordan; Zlotnik, Anatoly; Hagberg, Aric
Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 27, Issue 10
DOI: 10.1063/1.4994567

The Fuzziness of the Molecular World and Its Perspectives
journal, August 2018

Gentili, Pier
Molecules, Vol. 23, Issue 8
DOI: 10.3390/molecules23082074

Stability of entrainment of a continuum of coupled oscillators
text, January 2017

Snyder, Jordan; Zlotnik, Anatoly; Hagberg, Aric
arXiv
DOI: 10.48550/arxiv.1707.01599

Optimizing stability of mutual synchronization between a pair of limit-cycle oscillators with weak cross coupling
text, January 2017

Shirasaka, Sho; Watanabe, Nobuhiro; Kawamura, Yoji
arXiv
DOI: 10.48550/arxiv.1704.03632

Moment-Based Ensemble Control
preprint, January 2020

Narayanan, Vignesh; Zhang, Wei; Li, Jr-Shin
arXiv
DOI: 10.48550/arxiv.2009.02646

Phase-amplitude reduction of transient dynamics far from attractors for limit-cycling systems
journal, February 2017

Shirasaka, Sho; Kurebayashi, Wataru; Nakao, Hiroya
Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 27, Issue 2
DOI: 10.1063/1.4977195

Directional coupling in spatially distributed nanoreactors
journal, January 2019

Das, Nirmali Prabha; Dobó, Dorina G.; Berkesi, Dániel
RSC Advances, Vol. 9, Issue 69
DOI: 10.1039/c9ra09758a

Phase reduction and synchronization of a network of coupled dynamical elements exhibiting collective oscillations
text, January 2017

Nakao, Hiroya; Yasui, Sho; Ota, Masashi
arXiv
DOI: 10.48550/arxiv.1710.08911

Optimization of linear and nonlinear interaction schemes for stable synchronization of weakly coupled limit-cycle oscillators
text, January 2019

Watanabe, Nobuhiro; Kato, Yuzuru; Shirasaka, Sho
arXiv
DOI: 10.48550/arxiv.1901.02721

Phase reduction and synchronization of a network of coupled dynamical elements exhibiting collective oscillations
journal, April 2018

Nakao, Hiroya; Yasui, Sho; Ota, Masashi
Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 28, Issue 4
DOI: 10.1063/1.5009669

Optimizing mutual synchronization of rhythmic spatiotemporal patterns in reaction-diffusion systems
text, January 2017

Kawamura, Yoji; Shirasaka, Sho; Yanagita, Tatsuo
arXiv
DOI: 10.48550/arxiv.1704.03635

Provoking predetermined aperiodic patterns in human brainwaves
journal, December 2018

Phogat, Richa; Parmananda, P.
Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 28, Issue 12
DOI: 10.1063/1.5080971

Optimization of linear and nonlinear interaction schemes for stable synchronization of weakly coupled limit-cycle oscillators
journal, October 2019

Watanabe, Nobuhiro; Kato, Yuzuru; Shirasaka, Sho
Physical Review E, Vol. 100, Issue 4
DOI: 10.1103/physreve.100.042205

Similar Records in DOE PAGES and OSTI.GOV collections:

Stability of entrainment of a continuum of coupled oscillators

Journal Article Snyder, Jordan ; Zlotnik, Anatoly ; Hagberg, Aric - Chaos: An Interdisciplinary Journal of Nonlinear Science

Complex natural and engineered systems are ubiquitous, and their behavior is challenging to characterize and control. Here, we examine the design of the entrainment process for an uncountably infinite collection of coupled phase oscillators that are all subject to the same periodic driving signal. In the absence of coupling, an appropriately designed input can result in each oscillator attaining the frequency of the driving signal, with a phase offset determined by its natural frequency. We also consider a special case of interacting oscillators in which the coupling tends to destabilize the phase configuration to which the driving signal would sendmore »« less
Cited by 2
https://doi.org/10.1063/1.4994567

Full Text Available
Light storage in an optically thick atomic ensemble under conditions of electromagnetically induced transparency and four-wave mixing

Journal Article Phillips, Nathaniel B ; Novikova, Irina ; Gorshkov, Alexey V - Physical Review. A

We study the modification of a traditional electromagnetically induced transparency (EIT) stored-light technique that includes both EIT and four-wave mixing (FWM) in an ensemble of hot Rb atoms. The standard treatment of light storage involves the coherent and reversible mapping of one photonic mode onto a collective spin coherence. It has been shown that unwanted, competing processes such as four-wave mixing are enhanced by EIT and can significantly modify the signal optical pulse propagation. We present theoretical and experimental evidence to indicate that, while a Stokes field is indeed detected upon retrieval of the signal field, any information originally encodedmore »« less
https://doi.org/10.1103/PHYSREVA.83.063823
Nonlinear pattern dynamics in Josephson-junction arrays

Journal Article Oppenlaender, J ; Dangelmayr, G ; Guettinger, W - Physical Review, B: Condensed Matter

The dynamics of a two-dimensional array of Josephson junctions under an external load is shown to be equivalent to that of a one-dimensional nonlinear chain of nonidentical, globally, and nonuniformly coupled oscillators. This allows us to determine the dynamical states and collective spatiotemporal patterns the array exhibits in response to varying initial conditions, input patterns, coupling strengths, and bias current. When the bias current goes through critical values, successive bifurcations activate spatially distinct, coupled oscillatory compartments in the array, where semirotating, whirling, and quasiperiodic and aperiodic states coexist, and induce staircase current-voltage characteristics. Classical and vortex-induced row switching phenomena, stablemore »« less
https://doi.org/10.1103/PhysRevB.54.1213
Phase Imaging: A Compressive Sensing Approach

Journal Article Schneider, Sebastian ; Stevens, Andrew ; Browning, Nigel D. ; ... - Microscopy and Microanalysis

Since Wolfgang Pauli posed the question in 1933, whether the probability densities |Ψ(r)|² (real-space image) and |Ψ(q)|² (reciprocal space image) uniquely determine the wave function Ψ(r) [1], the so called Pauli Problem sparked numerous methods in all fields of microscopy [2, 3]. Reconstructing the complete wave function Ψ(r) = a(r)e-iφ(r) with the amplitude a(r) and the phase φ(r) from the recorded intensity enables the possibility to directly study the electric and magnetic properties of the sample through the phase. In transmission electron microscopy (TEM), electron holography is by far the most established method for phase reconstruction [4]. Requiring a highmore »« less
https://doi.org/10.1017/S1431927617001155
Persistence length regulates emergent dynamics in active roller ensembles

Journal Article Zhang, Bo ; Karani, Hamid ; Vlahovska, Petia M. ; ... - Soft Matter

Active colloidal fluids, biological and synthetic, often demonstrate complex self-organization and the emergence of collective behavior. Spontaneous formation of multiple vortices has been recently observed in a variety of active matter systems, however, the generation and tunability of the active vortices not controlled by geometrical confinement remain challenging. Here, we exploit the persistence length of individual particles in ensembles of active rollers to tune the formation of vortices and to orchestrate their characteristic sizes. We use two systems and employ two different approaches exploiting shape anisotropy or polarization memory of individual units for control of the persistence length. We characterizemore »« less
https://doi.org/10.1039/d1sm00363a

Full Text Available

Similar Records

Title: Phase-selective entrainment of nonlinear oscillator ensembles

Abstract

Citation Formats

Desynchronization of coupled electrochemical oscillators with pulse stimulations journal, June 2005

Decomposition of Nonlinear Delayed Networks around Cluster States with Applications to Neurodynamics journal, January 2014

Phase-Reduction Approach to Synchronization of Spatiotemporal Rhythms in Reaction-Diffusion Systems journal, May 2014

Pathological synchronization in Parkinson's disease: networks, models and treatments journal, July 2007

Type I Membranes, Phase Resetting Curves, and Synchrony journal, July 1996

Neuronal Oscillations in Cortical Networks journal, June 2004

Emerging Coherence in a Population of Chemical Oscillators journal, May 2002

Emerging Coherence in a Population of Chemical Oscillators journal, May 2002

Tools for understanding and optimizing robotic gait training journal, January 2006

Synchronization in complex networks of phase oscillators: A survey journal, June 2014

Optimal Inputs for Phase Models of Spiking Neurons journal, June 2006

Optimal Subharmonic Entrainment of Weakly Forced Nonlinear Oscillators journal, January 2014

Optimal Subharmonic Entrainment preprint, January 2014

The theory of electrochemical instabilities journal, August 1992

Neural Synchrony in Brain Disorders: Relevance for Cognitive Dysfunctions and Pathophysiology journal, October 2006

Control and Synchronization of Neuron Ensembles journal, August 2013

Oscillatory Neurocomputers with Dynamic Connectivity journal, April 1999

Spectral Responses of the Human Circadian System Depend on the Irradiance and Duration of Exposure to Light journal, May 2010

Optimal design of minimum-power stimuli for phase models of neuron oscillators journal, June 2011

Pattern pulses: design of arbitrary excitation profiles as a function of pulse amplitude and offset journal, April 2005

Optimal entrainment of neural oscillator ensembles journal, July 2012

Neuronal Oscillations in Cortical Networks journal, June 2004

Control of inhomogeneous quantum ensembles journal, March 2006

Amplitude and Frequency Dependence of Spike Timing: Implications for Dynamic Regulation journal, July 2003

From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators journal, September 2000

Weakly Connected Neural Networks book, January 1997

Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: A theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias journal, March 1982

Engineering Complex Dynamical Structures: Sequential Patterns and Desynchronization journal, June 2007

Toward a detailed computational model for the mammalian circadian clock journal, May 2003

Synchronization engineering: Theoretical framework and application to dynamical clustering journal, June 2008

Synchronization in complex oscillator networks and smart grids journal, January 2013

Stabilization of Planar Collective Motion: All-to-All Communication journal, May 2007

Optimal Waveform for Fast Entrainment of Weakly Forced Nonlinear Oscillators journal, July 2013

Toward a detailed computational model for the mammalian circadian clock journal, May 2003

Synchronization engineering: Theoretical framework and application to dynamical clustering journal, June 2008

Pattern pulses: design of arbitrary excitation profiles as a function of pulse amplitude and offset journal, April 2005

Human sleep and circadian rhythms: a simple model based on two coupled oscillators journal, July 1987

Constrained charge-balanced minimum-power controls for spiking neuron oscillators journal, January 2015

Synchronization in complex networks journal, December 2008

Synchronization of Elliptic Bursters journal, January 2001

A model of desynchronizing deep brain stimulation with a demand-controlled coordinated reset of neural subpopulations journal, August 2003

Synchronization and rhythmic processes in physiology journal, March 2001

Efficient Estimation of Phase-Resetting Curves in Real Neurons and its Significance for Neural-Network Modeling journal, April 2005

Controlling Synchronization in an Ensemble of Globally Coupled Oscillators journal, March 2004

Synchronization book, January 2010

Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting book, January 2006

Type I Membranes, Phase Resetting Curves, and Synchrony journal, July 1996

Control of Synchronization of Brain Dynamics Leads to Control of Epileptic Seizures in Rodents journal, June 2009

Waves and Patterns book, November 1998

Phase matters: cancelling pathological tremor by adaptive deep brain stimulation journal, December 2016

A data-driven phase and isostable reduced modeling framework for oscillatory dynamical systems journal, January 2020

Anti-phase collective synchronization with intrinsic in-phase coupling of two groups of electrochemical oscillators journal, October 2019

Optimization of linear and nonlinear interaction schemes for stable synchronization of weakly coupled limit-cycle oscillators journal, October 2019

Phase model-based neuron stabilization into arbitrary clusters journal, April 2018

Stimulating at the right time: phase-specific deep brain stimulation journal, December 2016

Semiclassical optimization of entrainment stability and phase coherence in weakly forced quantum limit-cycle oscillators journal, January 2020

Phase-amplitude reduction of transient dynamics far from attractors for limit-cycling systems text, January 2017

Stability of entrainment of a continuum of coupled oscillators journal, October 2017

The Fuzziness of the Molecular World and Its Perspectives journal, August 2018

Stability of entrainment of a continuum of coupled oscillators text, January 2017

Optimizing stability of mutual synchronization between a pair of limit-cycle oscillators with weak cross coupling text, January 2017

Moment-Based Ensemble Control preprint, January 2020

Phase-amplitude reduction of transient dynamics far from attractors for limit-cycling systems journal, February 2017

Directional coupling in spatially distributed nanoreactors journal, January 2019

Phase reduction and synchronization of a network of coupled dynamical elements exhibiting collective oscillations text, January 2017

Optimization of linear and nonlinear interaction schemes for stable synchronization of weakly coupled limit-cycle oscillators text, January 2019

Phase reduction and synchronization of a network of coupled dynamical elements exhibiting collective oscillations journal, April 2018

Optimizing mutual synchronization of rhythmic spatiotemporal patterns in reaction-diffusion systems text, January 2017

Provoking predetermined aperiodic patterns in human brainwaves journal, December 2018

Optimization of linear and nonlinear interaction schemes for stable synchronization of weakly coupled limit-cycle oscillators journal, October 2019

Desynchronization of coupled electrochemical oscillators with pulse stimulations
journal, June 2005

Decomposition of Nonlinear Delayed Networks around Cluster States with Applications to Neurodynamics
journal, January 2014

Phase-Reduction Approach to Synchronization of Spatiotemporal Rhythms in Reaction-Diffusion Systems
journal, May 2014

Pathological synchronization in Parkinson's disease: networks, models and treatments
journal, July 2007

Type I Membranes, Phase Resetting Curves, and Synchrony
journal, July 1996

Neuronal Oscillations in Cortical Networks
journal, June 2004

Emerging Coherence in a Population of Chemical Oscillators
journal, May 2002

Emerging Coherence in a Population of Chemical Oscillators
journal, May 2002

Tools for understanding and optimizing robotic gait training
journal, January 2006

Synchronization in complex networks of phase oscillators: A survey
journal, June 2014

Optimal Inputs for Phase Models of Spiking Neurons
journal, June 2006

Optimal Subharmonic Entrainment of Weakly Forced Nonlinear Oscillators
journal, January 2014

Optimal Subharmonic Entrainment
preprint, January 2014

The theory of electrochemical instabilities
journal, August 1992

Neural Synchrony in Brain Disorders: Relevance for Cognitive Dysfunctions and Pathophysiology
journal, October 2006

Control and Synchronization of Neuron Ensembles
journal, August 2013

Oscillatory Neurocomputers with Dynamic Connectivity
journal, April 1999

Spectral Responses of the Human Circadian System Depend on the Irradiance and Duration of Exposure to Light
journal, May 2010

Optimal design of minimum-power stimuli for phase models of neuron oscillators
journal, June 2011

Pattern pulses: design of arbitrary excitation profiles as a function of pulse amplitude and offset
journal, April 2005

Optimal entrainment of neural oscillator ensembles
journal, July 2012

Neuronal Oscillations in Cortical Networks
journal, June 2004

Control of inhomogeneous quantum ensembles
journal, March 2006

Amplitude and Frequency Dependence of Spike Timing: Implications for Dynamic Regulation
journal, July 2003

From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators
journal, September 2000

Weakly Connected Neural Networks
book, January 1997

Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: A theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias
journal, March 1982

Engineering Complex Dynamical Structures: Sequential Patterns and Desynchronization
journal, June 2007

Toward a detailed computational model for the mammalian circadian clock
journal, May 2003

Synchronization engineering: Theoretical framework and application to dynamical clustering
journal, June 2008

Synchronization in complex oscillator networks and smart grids
journal, January 2013

Stabilization of Planar Collective Motion: All-to-All Communication
journal, May 2007

Optimal Waveform for Fast Entrainment of Weakly Forced Nonlinear Oscillators
journal, July 2013

Toward a detailed computational model for the mammalian circadian clock
journal, May 2003

Synchronization engineering: Theoretical framework and application to dynamical clustering
journal, June 2008

Pattern pulses: design of arbitrary excitation profiles as a function of pulse amplitude and offset
journal, April 2005

Human sleep and circadian rhythms: a simple model based on two coupled oscillators
journal, July 1987

Constrained charge-balanced minimum-power controls for spiking neuron oscillators
journal, January 2015

Synchronization in complex networks
journal, December 2008

Synchronization of Elliptic Bursters
journal, January 2001

A model of desynchronizing deep brain stimulation with a demand-controlled coordinated reset of neural subpopulations
journal, August 2003

Synchronization and rhythmic processes in physiology
journal, March 2001

Efficient Estimation of Phase-Resetting Curves in Real Neurons and its Significance for Neural-Network Modeling
journal, April 2005

Controlling Synchronization in an Ensemble of Globally Coupled Oscillators
journal, March 2004

Synchronization
book, January 2010

Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting
book, January 2006

Type I Membranes, Phase Resetting Curves, and Synchrony
journal, July 1996

Control of Synchronization of Brain Dynamics Leads to Control of Epileptic Seizures in Rodents
journal, June 2009

Waves and Patterns
book, November 1998

Phase matters: cancelling pathological tremor by adaptive deep brain stimulation
journal, December 2016

A data-driven phase and isostable reduced modeling framework for oscillatory dynamical systems
journal, January 2020

Anti-phase collective synchronization with intrinsic in-phase coupling of two groups of electrochemical oscillators
journal, October 2019

Optimization of linear and nonlinear interaction schemes for stable synchronization of weakly coupled limit-cycle oscillators
journal, October 2019

Phase model-based neuron stabilization into arbitrary clusters
journal, April 2018

Stimulating at the right time: phase-specific deep brain stimulation
journal, December 2016

Semiclassical optimization of entrainment stability and phase coherence in weakly forced quantum limit-cycle oscillators
journal, January 2020

Phase-amplitude reduction of transient dynamics far from attractors for limit-cycling systems
text, January 2017

Stability of entrainment of a continuum of coupled oscillators
journal, October 2017

The Fuzziness of the Molecular World and Its Perspectives
journal, August 2018

Stability of entrainment of a continuum of coupled oscillators
text, January 2017

Optimizing stability of mutual synchronization between a pair of limit-cycle oscillators with weak cross coupling
text, January 2017

Moment-Based Ensemble Control
preprint, January 2020

Phase-amplitude reduction of transient dynamics far from attractors for limit-cycling systems
journal, February 2017

Directional coupling in spatially distributed nanoreactors
journal, January 2019

Phase reduction and synchronization of a network of coupled dynamical elements exhibiting collective oscillations
text, January 2017

Optimization of linear and nonlinear interaction schemes for stable synchronization of weakly coupled limit-cycle oscillators
text, January 2019

Phase reduction and synchronization of a network of coupled dynamical elements exhibiting collective oscillations
journal, April 2018

Optimizing mutual synchronization of rhythmic spatiotemporal patterns in reaction-diffusion systems
text, January 2017

Provoking predetermined aperiodic patterns in human brainwaves
journal, December 2018

Optimization of linear and nonlinear interaction schemes for stable synchronization of weakly coupled limit-cycle oscillators
journal, October 2019