Coexistence of synchrony and incoherence in oscillatory media under nonlinear global coupling

Lennart Schmidt; Konrad Schönleber; Katharina Krischer; Vladimir García-Morales

doi:10.1063/1.4858996

Coexistence of synchrony and incoherence in oscillatory media under nonlinear global coupling

Lennart Schmidt, Konrad Schönleber, Katharina Krischer, Vladimir García-Morales

Associate Professorship of Technical Physics

Technical University of Munich

Research output: Contribution to journal › Article › peer-review

247 Scopus citations

Abstract

We report a novel mechanism for the formation of chimera states, a peculiar spatiotemporal pattern with coexisting synchronized and incoherent domains found in ensembles of identical oscillators. Considering Stuart-Landau oscillators, we demonstrate that a nonlinear global coupling can induce this symmetry breaking. We find chimera states also in a spatially extended system, a modified complex Ginzburg-Landau equation. This theoretical prediction is validated with an oscillatory electrochemical system, the electro-oxidation of silicon, where the spontaneous formation of chimeras is observed without any external feedback control.

Original language	English
Article number	013102
Pages (from-to)	13102
Number of pages	1
Journal	Chaos
Volume	24
Issue number	1
DOIs	https://doi.org/10.1063/1.4858996
State	Published - 1 Mar 2014

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Coexistence of synchrony and incoherence in oscillatory media under nonlinear global coupling

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