The Dynamics of Synchronization and Phase Regulation (original) (raw)

Homoclinic Mechanism of Synchronization of Periodic Oscillations

Dmitry Postnov

Springer Series in Synergetics, 2009

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Synchronization in Oscillatory Networks

Jurgen Kurths

Springer Series in Synergetics, 2007

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Phase synchronization of chaotic oscillations in terms of periodic orbits

G. Osipov

Chaos: An Interdisciplinary Journal of Nonlinear Science, 1997

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ON SOME MATHEMATICAL TOPICS IN CLASSICAL SYNCHRONIZATION.: A TUTORIAL

Andrey Shilnikov

International Journal of Bifurcation and Chaos, 2004

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Complete periodic synchronization in coupled systems

Wei Zou, Meng Zhan

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2008

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Phase Synchronization in Regular and Chaotic Systems

J. Kurths

International Journal of Bifurcation and Chaos, 2000

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Phase synchronization of chaotic attractors in the presence of two competing periodic signals

Edward Ott

Physical Review E, 2002

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Phase-Reduction Approach to Synchronization of Spatiotemporal Rhythms in Reaction-Diffusion Systems

Hiroya Nakao, Tatsuo Yanagita

Phys. Rev. X, 2014

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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

Leon Glass

Journal of Mathematical Biology, 1982

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Phase synchronization of chaotic oscillators

Arkady Pikovsky

Physical Review Letters, 1996

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Antiphase and in-phase synchronization of nonlinear oscillators: The Huygens’s clocks system

Rui Dilao

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2009

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Synchronization of diffusively coupled oscillators near the homoclinic bifurcation

Dmitry Postnov

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 1999

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On Phase Synchronization by Periodic Force in Chaotic Oscillators with Saddle Equilibria

Jurgen Kurths

International Journal of Bifurcation and Chaos, 2000

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Geometry unites synchrony, chimeras, and waves in nonlinear oscillator networks

Ján Mináč

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2022

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Phase Synchronization of Chaotic Intermittent Oscillations

Jurgen Kurths

Physical Review Letters, 2004

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A simple geometry unites synchrony, chimeras, and waves in nonlinear oscillator networks

Ján Mináč

arXiv (Cornell University), 2021

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The geometry of chaos synchronization

Ernest Barreto

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2003

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Output synchronization in networks of cyclic biochemical oscillators

Guy-Bart Stan

American Control Conference, 2007

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Phase synchronization in driven and coupled chaotic oscillators

Jurgen Kurths

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1997

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Stability of the synchronization manifold in nearest neighbors non identical van der Pol-like oscillators

Herve Kadji

2010

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Synchronization of coupled chaotic oscillators as a phase transition

Marzena Ciszak

2005

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Synchronization of chaotic systems: a microscopic description

Nir Lahav

Physical Review E, 2018

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Symbolic dynamics of physiological synchronization: Examples from bimanual movements and cardiorespiratory interaction

Michael Schiek

Nonlinear Analysis: Theory, Methods & Applications, 1997

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Engineering generalized synchronization in chaotic oscillators

Syamal Dana

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2011

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Synchronization in starlike networks of phase oscillators

Zhigang Zheng

Physical Review E

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A design principle underlying the synchronization of oscillations in cellular systems

Dong Gyu Shin

Journal of Cell Science, 2010

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Inducing phase-locking and chaos in cellular oscillators by modulating the driving stimuli

Mogens Jensen

FEBS Letters, 2012

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Synchronization and rhythmic processes in physiology

Leon Glass

Nature, 2001

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Synchronization: A Universal Concept in Nonlinear Science

Jurgen Kurths

American Journal of Physics, 2002

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Slowly Coupled Oscillators: Phase Dynamics and Synchronization

Frank Hoppensteadt

SIAM Journal on Applied Mathematics, 2003

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Synchronization Analysis in Models of Coupled Oscillators

Guilherme Toso

Computational Science and Its Applications – ICCSA 2020, 2020

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Phase-Locked Modes, Phase Transitions and Component Oscillators in Biological Motion

G. Schöner

Physica Scripta, 1987

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The onset of synchronization in systems of globally coupled chaotic and periodic oscillators

Ernest Barreto

Physica D: Nonlinear Phenomena, 2002

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Synchronization Phenomena in Networks of Oscillatory and Excitable Luo-Rudy Cells

Dr Syamal Dana

Understanding Complex Systems, 2009

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Synchronization and desynchronization under the influence of quasiperiodic forcing

Ulrike Feudel

Physical Review E, 2003

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