Chimeras in globally coupled oscillatory systems: From ensembles of oscillators to spatially continuous media

Lennart Schmidt; Katharina Krischer

doi:10.1063/1.4921727

Chimeras in globally coupled oscillatory systems: From ensembles of oscillators to spatially continuous media

Lennart Schmidt, Katharina Krischer

Associate Professorship of Technical Physics

Technical University of Munich

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

44 Scopus citations

Abstract

We study an oscillatory medium with a nonlinear global coupling that gives rise to a harmonic mean-field oscillation with constant amplitude and frequency. Two types of cluster states are found, each undergoing a symmetry-breaking transition towards a related chimera state. We demonstrate that the diffusional coupling is non-essential for these complex dynamics. Furthermore, we investigate localized turbulence and discuss whether it can be categorized as a chimera state.

Original language	English
Article number	064401
Journal	Chaos
Volume	25
Issue number	6
DOIs	https://doi.org/10.1063/1.4921727
State	Published - Jun 2015

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title = "Chimeras in globally coupled oscillatory systems: From ensembles of oscillators to spatially continuous media",

abstract = "We study an oscillatory medium with a nonlinear global coupling that gives rise to a harmonic mean-field oscillation with constant amplitude and frequency. Two types of cluster states are found, each undergoing a symmetry-breaking transition towards a related chimera state. We demonstrate that the diffusional coupling is non-essential for these complex dynamics. Furthermore, we investigate localized turbulence and discuss whether it can be categorized as a chimera state.",

author = "Lennart Schmidt and Katharina Krischer",

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AB - We study an oscillatory medium with a nonlinear global coupling that gives rise to a harmonic mean-field oscillation with constant amplitude and frequency. Two types of cluster states are found, each undergoing a symmetry-breaking transition towards a related chimera state. We demonstrate that the diffusional coupling is non-essential for these complex dynamics. Furthermore, we investigate localized turbulence and discuss whether it can be categorized as a chimera state.

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Chimeras in globally coupled oscillatory systems: From ensembles of oscillators to spatially continuous media

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