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.

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Cited by in corpus (6)

• Chimera states: Effects of different coupling topologies
• Chimera States in Continuous Media: Existence and Distinctness
• Phase-flip chimera induced by environmental nonlocal coupling
• Long-range interaction induced collective dynamical behaviors
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• Collective dynamics of globally delay-coupled complex Ginzburg-Landau oscillators