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arXiv · 1312.3166

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

Lennart Schmidt·Konrad Schönleber·Katharina Krischer·Vladimir García-Morales
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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 electrooxidation of silicon, where the spontaneous formation of chimeras is observed without any external feedback control.

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Lennart Schmidt, Konrad Schönleber, Katharina Krischer, Vladimir García-Morales. 2013-12-11. Coexistence of synchrony and incoherence in oscillatory media under nonlinear global coupling. https://doi.org/10.1063/1.4858996

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