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

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.

7 pages, 5 figures, final version, accepted for publication in Chaos

References in corpus (3)

• Coexistence of Coherence and Incoherence in Nonlocally Coupled Phase Oscillators
• Clustered chimera states in delay coupled oscillator systems
• Computational Study of Turbulent-Laminar Patterns in Couette Flow

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