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

2015/02/16 by Mark J. Panaggio, Mark J Panaggio, Daniel M. Abrams +1 · 27 citations
Computer Science · Engineering · Neuroscience · #Neural dynamics and brain function #Nonlinear Dynamics and Pattern Formation #Slime Mold and Myxomycetes Research

paper · doi:10.1088/0951-7715/28/3/r67

openalex publication_date 2015/02/16 · openalex created_date 2020/11/23 · openalex updated_date 2026/07/31

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.

Cited by

• Emergence of Chimeras States in One-dimensional Ising model with Long-Range Diffusion
• Moderate Higher-Order Interactions Enhance Stability While Preserving Basin Structure
• Breathing chimera states from purely triadic interactions
• Wave patterns in two-dimensional networks of non-locally coupled oscillators with phase delay
• Synchronization modes in bipartite oscillator networks
• Emergent Topology of Optimal Networks for Synchrony
• Network stochastic resonance under higher-order interactions
• Weak chimeras in minimal networks of coupled phase oscillators
• Noise-induced chimera states in a neural network
• Multi-chimera states in the Leaky Integrate-and-Fire model
• Dynamics of a 2D lattice of van der Pol oscillators with nonlinear repulsive coupling
• Inverse problems for dynamic patterns in coupled oscillator networks: When larger networks are simpler
• Phase chimera states on nonlocal hyperrings
• Hidden attractors in dynamical systems
• Local sensitivity of spatiotemporal structures
• Macroscopic dynamics of oscillator ensembles with communities, higher-order interactions, and phase lags
• External and mutual synchronization of chimeras in a two layer network of nonlinear oscillators
• Particle-Based Framework for Continuous Fields of Coupled Phase Oscillators: Exploring Spontaneous Local Synchronization
• Chimera states in ring-star network of Chua circuits
• Coherence and Transients in Nonlocally Coupled Dissipative Kicked Rotors
• Frequency Synchronization Induced by Frequency Detuning
• The Kuramoto model on power law graphs
• Inducing chimera-synchronization in symmetric complex networks
• Labyrinth walks: An elegant chaotic conservative non-Hamiltonian system
• Engineered discreteness enables observation and control of chimera-like states in a system with local coupling
• Partial Exponential Stability Analysis of Slow-fast Systems via Periodic Averaging
• Chimera patterns in conservative systems and ultracold atoms with\n mediated nonlocal hopping
• Heterogeneity Induces Cyclops States in Kuramoto Networks with Higher-Mode Coupling

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• Chimera states on m-directed hypergraphs