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Chimeras in globally coupled oscillatory systems: From ensembles of oscillators to spatially continuous media (1503.04053v2)
Published 13 Mar 2015 in nlin.PS, nlin.AO, and nlin.CD
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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