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

Lennart Schmidt; Katharina Krischer

doi:10.1063/1.4921727

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arXiv · 1503.04053

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

Lennart Schmidt·Katharina Krischer

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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.

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Lennart Schmidt, Katharina Krischer. 2015-06-10. Chimeras in globally coupled oscillatory systems: From ensembles of oscillators to spatially continuous media. https://doi.org/10.1063/1.4921727

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