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

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