Symmetry-Breaking in Ensembles of Coupled Oscillators

Symmetry-Breaking in Ensembles of Coupled Oscillators

From chimera and modulated drift states to non-uniform coherence

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In Greek mythology, the chimera was a three-headed, fire-breathing monster---partly lion, partly goat, partly serpent. In the nonlinear dynamics community, however, the chimera state refers to a similarly incongruent pattern, coexistence of coherence and incoherence in networks of coupled oscillators. The chimera phenomenon has fundamental implications that the processes occurring in nature favor a less symmetric configuration, although the underlying principles can be symmetric. Such chimera states have attracted great interest and have been the subject of intensive theoretical investigations...