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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Metadaten
Author:Oleksandr Burylko, Arkady S. PikovskyORCiDGND
DOI:https://doi.org/10.1016/j.physd.2011.05.016
ISSN:0167-2789 (print)
Parent Title (English):Physica :D, Nonlinear phenomena
Publisher:Elsevier
Place of publication:Amsterdam
Document Type:Article
Language:English
Year of first Publication:2011
Year of Completion:2011
Release Date:2017/03/26
Tag:Bifurcations; Coupled oscillators; Kuramoto model; Nonlinear coupling; Oscillator ensembles
Volume:240
Issue:17
Pagenumber:10
First Page:1352
Last Page:1361
Funder:DFG
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer Review:Referiert