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

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Cited by in corpus (155)

• 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
• Extreme events in dynamical systems and random walkers: A review
• Symmetric States Requiring System Asymmetry
• Stable Chimeras and Independently Synchronizable Clusters
• Desynchronization transitions in adaptive networks
• Chimera states on the surface of a sphere
• The smallest chimera states
• Higher-order interactions improve optimal collective dynamics on networks
• Higher-order interactions promote chimera states
• Birth and stabilization of phase clusters by multiplexing of adaptive networks
• Integrated information as a common signature of dynamical and information-processing complexity
• Self-organized alternating chimera states in oscillatory media
• Mechanism for intensity induced chimera states in globally coupled oscillators
• Unified treatment of synchronization patterns in generalized networks with higher-order, multilayer, and temporal interactions
• 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
• The changing notion of chimera states, a critical review
• Introduction to Focus Issue: Patterns of Network Synchronization
• Symmetry-independent stability analysis of synchronization patterns
• Asymmetry-Induced Synchronization in Oscillator Networks
• Non-identical multiplexing promotes chimera states
• Synchronization Patterns: From Network Motifs to Hierarchical Networks
• Effect of Topology upon Relay Synchronization in Triplex Neuronal Networks
• Relay synchronization in multiplex networks of discrete maps
• Experiments with arbitrary networks in time-multiplexed delay systems
• Chimera-like behavior in a heterogeneous Kuramoto model: the interplay between the attractive and repulsive coupling
• Mechanism for Strong Chimeras
• Coexisting synchronous and asynchronous states in locally coupled array of oscillators by partial self-feedback control
• Topological synchronization of coupled nonlinear oscillators
• Chimera States in Continuous Media: Existence and Distinctness
• Identical synchronization of nonidentical oscillators: when only birds of different feathers flock together
• Polariton chimeras: Bose-Einstein condensates with intrinsic chaoticity and spontaneous long-range ordering
• Optimal self-induced stochastic resonance in multiplex neural networks: electrical versus chemical synapses
• Synchronization in cilia carpets: multiple metachronal waves are stable, but one wave dominates
• Unbalanced clustering and solitary states in coupled excitable systems
• Critical Switching in Globally Attractive Chimeras
• Role of solitary states in forming spatiotemporal patterns in a 2D lattice of van der Pol oscillators
• Network experiment demonstrates converse symmetry breaking
• Transitions from chimeras to coherence: An analytical approach by means of the coherent stability function
• Cyclops states in repulsive Kuramoto networks: the role of higher-order coupling
• Memory selection and information switching in oscillator networks with higher-order interactions
• On the analysis of a time varying noise-modulated heterogeneous coupled network of Chialvo neurons under the influence of electromagnetic flux
• Kuramoto model for populations of quadratic integrate-and-fire neurons with chemical and electrical coupling
• Phase-flip chimera induced by environmental nonlocal coupling
• Dynamical robustness of network of oscillators
• Chimera Time-Crystalline order in quantum spin networks
• Hierarchy of exact low-dimensional reductions for populations of coupled oscillators
• Multi-clustered chimeras in large semiconductor laser arrays with nonlocal interactions
• Spiral wave chimeras in reaction-diffusion systems: phenomenon, mechanism and transitions
• Phase chimera states on non-local hyperrings
• Pattern formation and chimera states in 2D SQUID metamaterials
• Genesis of chimera patterns through self-induced stochastic resonance
• Directed Flow of Information in Chimera States
• Identification of Chimera using Machine Learning
• Mathematical framework for breathing chimera states
• Mediated Remote Synchronization of Kuramoto-Sakaguchi Oscillators: the Number of Mediators Matters
• Symmetry breaking yields chimeras in two small populations of Kuramoto-type oscillators
• Front and Turing patterns induced by Mexican-hat-like nonlocal feedback
• Chimera at the phase-flip transition of an ensemble of identical nonlinear oscillators
• Self adaptation of chimera states
• Chimera States and Seizures in a Mouse Neuronal Model
• Synchronization scenarios in three-layer networks with a hub
• Minimal Chimera States in Phase-Lag Coupled Mechanical Oscillators
• Transition from chimera/solitary states to traveling waves
• Structural anomalies in brain networks induce dynamical pacemaker effects
• Coexisting chaotic and multi-periodic dynamics in a model of cardiac alternans
• Aging transition in the absence of inactive oscillators
• Stability of rotatory solitary states in Kuramoto networks with inertia
• Solitary states in the mean-field limit
• Mobility-induced persistent chimera states
• Attracting Poisson Chimeras in Two-population Networks
• Locking and regularisation of chimeras by periodic forcing
• Robust universal approach to identify travelling chimeras and synchronized clusters in spiking networks
• Symmetry-breaking mechanism for the formation of cluster chimera patterns
• Frequency chimera state induced by differing dynamical timescales
• Exploring nonlinear dynamics in periodically driven time crystal: from synchronized to chaotic motion
• Disorder fosters chimera in an array of motile particles
• Spatial-temporal analysis of neural desynchronization in sleep-like states reveals critical dynamics
• Protected chaos in a topological lattice
• Mixed-Mode Chimera states in Pendula Networks
• Diverse coherence-resonance chimeras in coupled type-I excitable systems
• Collective synchronization of dissipatively-coupled noise-activated processes
• Persistence of chimera states and the challenge for synchronization in real-world networks
• Chimera states and frequency clustering in systems of coupled inner-ear hair cells
• Labyrinth chaos: Revisiting the elegant, chaotic and hyperchaotic walks
• Complexified Synchrony
• Chimera states in ensembles of excitable FitzHugh-Nagumo systems
• Spiral wave chimera-like transient dynamics in three-dimensional grid of diffusive ecological systems
• From Turing patterns to chimera states in the 2D Brusselator model
• Kerr nonlinearity hinders symmetry-breaking states of coupled quantum oscillators
• Taming Chimeras in Networks through Multiplexing Delays
• Chimeras unfolded
• Graphop Mean-Field Limits and Synchronization for the Stochastic Kuramoto Model
• Collective dynamics of random Janus oscillator networks
• Chimera states in a network-organized public goods game with destructive agents
• Chimera states and information transfer in interacting populations of map-based neurons
• Heteroclinic Switching between Chimeras in a Ring of Six Oscillator Populations
• Dissipative structures in a parametrically driven dissipative lattice: chimera, localized disorder, continuous-wave, and staggered state
• A new class of chimeras in locally coupled oscillators with small-amplitude, high-frequency asynchrony and large-amplitude, low-frequency synchrony
• Spontaneous collective synchronization in the Kuramoto model with additional non-local interactions
• An Overview of Emergent Order in Far-from-equilibrium Driven Systems: From Kuramoto Oscillators to Rayleigh-Bénard Convection
• Frequency Synchronization Induced by Frequency Detuning
• Scaling law of transient lifetime of chimera states under dimension-augmenting perturbations
• Chimera Dynamics of Generalized Kuramoto-Sakaguchi Oscillators in Two-population Networks
• Patched patterns and emergence of chaotic interfaces in arrays of nonlocally coupled excitable systems
• Chaotic Chimera Attractors in a Triangular Network of Identical Oscillators
• Birth and destruction of collective oscillations in a network of two populations of coupled type 1 neurons
• Noise-induced chimera states in a neural network
• Nonequilibrium thermodynamic characterization of chimeras in a continuum chemical oscillator system
• Pattern in non-linearly coupled network of identical Thomas oscillators
• Evaluating the phase dynamics of coupled oscillators via time-variant topological features
• Data-driven Selection of Coarse-Grained Models of Coupled Oscillators
• Moderate Higher-Order Interactions Enhance Stability While Preserving Basin Structure
• Emergence of multistability and strongly asymmetric collective modes in two quorum sensing coupled identical ring oscillators
• Finite-density-induced motility and turbulence of chimera solitons
• A global bifurcation organizing rhythmic activity in a coupled network
• Möbius group actions in the solvable chimera model
• Chimera states through invariant manifold theory
• Detecting partial synchrony in a complex oscillatory network using pseudo-vortices
• Large-scale spatio-temporal patterns in a ring of non-locally coupled oscillators with a repulsive coupling
• Network stochastic resonance under higher-order interactions
• Emergence of metastability in frustrated oscillatory networks: the key role of hierarchical modularity
• Effect of mobility on synchronization of nonlocally coupled oscillators with a phase lag
• Phase chimera states: frozen patterns of disorder
• Time crystal embodies chimeralike state in periodically driven quantum spin system
• Impact of pulse exposure on chimera state in ensemble of FitzHugh-Nagumo systems
• Connecting minimal chimeras and fully asymmetric chaotic attractors through equivariant pitchfork bifurcations
• Chimera states in ring-star network of Chua circuits
• Dynamics of a 2D lattice of van der Pol oscillators with nonlinear repulsive coupling
• Energy Transfer and Coherence in Coupled Oscillators with Delayed Coupling: A Classical Picture for Two-Level Systems
• Partial Exponential Stability Analysis of Slow-fast Systems via Periodic Averaging
• Engineered discreteness enables observation and control of chimera-like states in a system with local coupling
• Coupled metronomes on a moving platform with Coulomb friction
• The Kuramoto model on power law graphs
• Chimeras with uniformly distributed heterogeneity: two coupled populations
• Chimera states for directed networks
• Data-driven stochastic modeling of coarse-grained dynamics with finite-size effects using Langevin regression
• Labyrinth walks: An elegant chaotic conservative non-Hamiltonian system
• Metastability of multi-population Kuramoto-Sakaguchi oscillators
• Emergence of Chimeras States in One-dimensional Ising model with Long-Range Diffusion
• Spiral wave chimeras in populations of oscillators coupled to a slowly varying diffusive environment
• Between Synchrony and Turbulence: Intricate Hierarchies of Coexistence Patterns
• Coherence and Transients in Nonlocally Coupled Dissipative Kicked Rotors
• Bumps, chimera states, and Turing patterns in systems of coupled active rotators
• Chimera and anticoordination states in learning dynamics
• Dynamics on invariant tori emerging through forced symmetry breaking in phase oscillator networks
• Local sensitivity of spatiotemporal structures
• Synchronization modes in bipartite oscillator networks