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Desynchronization transitions in nonlinearly coupled phase oscillators

  • We consider the nonlinear extension of the Kuramoto model of globally coupled phase oscillators where the phase shift in the coupling function depends on the order parameter. A bifurcation analysis of the transition from fully synchronous state to partial synchrony is performed. We demonstrate that for small ensembles it is typically mediated by stable cluster states, that disappear with creation of heteroclinic cycles, while for a larger number of oscillators a direct transition from full synchrony to a periodic or a quasiperiodic regime occurs.

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Author details:Oleksandr Burylko, Arkadij PikovskijORCiDGND
DOI:https://doi.org/10.1016/j.physd.2011.05.016
ISSN:0167-2789
Title of parent work (English):Physica :D, Nonlinear phenomena
Publisher:Elsevier
Place of publishing:Amsterdam
Publication type:Article
Language:English
Year of first publication:2011
Publication year:2011
Release date:2017/03/26
Tag:Bifurcations; Coupled oscillators; Kuramoto model; Nonlinear coupling; Oscillator ensembles
Volume:240
Issue:17
Number of pages:10
First page:1352
Last Page:1361
Funding institution:DFG
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer review:Referiert
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