External periodic driving of large systems of globally coupled phase oscillators

Large systems of coupled oscillators subjected to a periodic external drive occur in many situations in physics and biology. Here the simple paradigmatic case of equal strength, all-to-all sine coupling of phase oscillators subject to a sinusoidal external drive, is considered. The stationary states...

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Bibliographic Details
Published inChaos (Woodbury, N.Y.) Vol. 18; no. 3; p. 037112
Main Authors Antonsen, Jr, T M, Faghih, R T, Girvan, M, Ott, E, Platig, J
Format Journal Article
LanguageEnglish
Published United States 01.09.2008
Subjects
Algorithms
Biological Clocks - physiology
Computer Simulation
Feedback
Metabolic Networks and Pathways - physiology
Models, Theoretical
Nerve Net - physiology
Nonlinear Dynamics
Oscillometry - methods
Periodicity
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Summary:Large systems of coupled oscillators subjected to a periodic external drive occur in many situations in physics and biology. Here the simple paradigmatic case of equal strength, all-to-all sine coupling of phase oscillators subject to a sinusoidal external drive, is considered. The stationary states and their stability are determined. Using the stability information and numerical experiments, parameter space phase diagrams showing when different types of system behavior apply are constructed, and the bifurcations marking transitions between different types of behavior are delineated. The analysis is supported by results of direct numerical simulation of an ensemble of oscillators.
ISSN:1089-7682
DOI:10.1063/1.2952447