Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators

Abstract

A chimera state is a spatio-temporal pattern in a network of identical coupled oscillators in which synchronous and asynchronous oscillation coexist. This state of broken symmetry, which usually coexists with a stable spatially symmetric state, has intrigued the nonlinear dynamics community since its discovery in the early 2000s. Recent experiments have led to increasing interest in the origin and dynamics of these states. Here we review the history of research on chimera states and highlight major advances in understanding their behaviour.

arXiv comment26 pages, 3 figures

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• Polaritonic network as a paradigm for dynamics of coupled oscillators
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• Spatio-temporal complexity in dual delay nonlinear laser dynamics: chimeras and dissipative solitons
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• Model reconstruction from temporal data for coupled oscillator networks
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• Cyclops states in repulsive Kuramoto networks: the role of higher-order coupling
• First-order phase transitions in the Kuramoto model with compact bimodal frequency distributions
• Nonlinear Excitations in Magnetic Lattices with Long-Range Interactions
• On the analysis of a time varying noise-modulated heterogeneous coupled network of Chialvo neurons under the influence of electromagnetic flux
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