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.

26 pages, 3 figures

References in corpus (12)

• Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
• Analysis of a power grid using the Kuramoto-like model
• Coexistence of Coherence and Incoherence in Nonlocally Coupled Phase Oscillators
• Partially integrable dynamics of hierarchical populations of coupled oscillators
• Clustered chimera states in delay coupled oscillator systems
• Remote synchronization reveals network symmetries and functional modules
• Chimera states in heterogeneous networks
• Weak chimeras in minimal networks of coupled phase oscillators
• Instability of synchronized motion in nonlocally coupled neural oscillators
• Chimera states on the surface of a sphere
• Partially Locked States in Coupled Oscillators due to Inhomogeneous Coupling
• Chimera Ising Walls in Forced Nonlocally Coupled Oscillators

Cited by in corpus (37)

• Explosive transitions in complex networks' structure and dynamics: percolation and synchronization
• Chimera states in a multilayer network of coupled and uncoupled neurons
• Robustness of chimera states for coupled FitzHugh-Nagumo oscillators
• Weak chimeras in minimal networks of coupled phase oscillators
• Chimera states: Effects of different coupling topologies
• Transient scaling and resurgence of chimera states in networks of Boolean phase oscillators
• Amplitude-phase coupling drives chimera states in globally coupled laser networks
• Symmetric States Requiring System Asymmetry
• Stable Chimeras and Independently Synchronizable Clusters
• Chimera states on the surface of a sphere
• The smallest chimera states
• Mechanism for intensity induced chimera states in globally coupled oscillators
• Self-organized alternating chimera states in oscillatory media
• Connecting the Kuramoto Model and the Chimera State
• Partial synchronization in empirical brain networks as a model for unihemispheric sleep
• Chimeras in globally coupled oscillatory systems: From ensembles of oscillators to spatially continuous media
• Introduction to Focus Issue: Patterns of Network Synchronization
• Asymmetry-Induced Synchronization in Oscillator Networks
• Non-identical multiplexing promotes chimera states
• Synchronization Patterns: From Network Motifs to Hierarchical Networks
• Experiments with arbitrary networks in time-multiplexed delay systems
• Coexisting synchronous and asynchronous states in locally coupled array of oscillators by partial self-feedback control
• Identical synchronization of nonidentical oscillators: when only birds of different feathers flock together
• Chimera States in Continuous Media: Existence and Distinctness
• Polariton chimeras: Bose-Einstein condensates with intrinsic chaoticity and spontaneous long-range ordering
• Phase-flip chimera induced by environmental nonlocal coupling
• Multi-clustered chimeras in large semiconductor laser arrays with nonlocal interactions
• Directed Flow of Information in Chimera States
• Front and Turing patterns induced by Mexican-hat-like nonlocal feedback
• Chimera at the phase-flip transition of an ensemble of identical nonlinear oscillators
• Coexisting chaotic and multi-periodic dynamics in a model of cardiac alternans
• Mobility-induced persistent chimera states
• Chimera states in a network-organized public goods game with destructive agents
• Spontaneous collective synchronization in the Kuramoto model with additional non-local interactions
• Noise-induced chimera states in a neural network
• The Kuramoto model on power law graphs
• Local sensitivity of spatiotemporal structures