Spontaneous Synchrony Breaking
arXiv:1003.2465 · doi:10.1038/nphys1609
Abstract
Research on synchronization of coupled oscillators has helped explain how uniform behavior emerges in populations of non-uniform systems. But explaining how uniform populations engage in sustainable non-uniform synchronization may prove to be just as fascinating.
References in corpus (8)
- Chimera States for Coupled Oscillators
- Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
- Solvable model for chimera states of coupled oscillators
- Rotating Spiral Waves with Phase-Randomized Core in Non-locally Coupled Oscillators
- Partially integrable dynamics of hierarchical populations of coupled oscillators
- Solvable Model of Spiral Wave Chimeras
- Chimera states in heterogeneous networks
- Network synchronization landscape reveals compensatory structures, quantization, and the positive effect of negative interactions
Cited by in corpus (62)
- Chimera States in Mechanical Oscillator Networks
- When Nonlocal Coupling Between Oscillators Becomes Stronger: Patched Synchrony or Multi-Chimera States
- Chimera Death: Symmetry Breaking in Dynamical Networks
- Chimera states in a multilayer network of coupled and uncoupled neurons
- Robustness of chimera states for coupled FitzHugh-Nagumo oscillators
- Coherence-resonance chimeras in a network of excitable elements
- Chimera states in uncoupled neurons induced by a multilayer structure
- Observation and characterization of chimera states in coupled dynamical systems with nonlocal coupling
- Chimera states in bursting neurons
- Chimera-like states in modular neural networks
- Amplitude mediated chimera states
- Chimera states in brain networks: empirical neural vs. modular fractal connectivity
- Amplitude-phase coupling drives chimera states in globally coupled laser networks
- Low-dimensional dynamics of populations of pulse-coupled oscillators
- Quantum signatures of Chimera states
- Chimera states in time-varying complex networks
- Symmetric States Requiring System Asymmetry
- Nonlinearity of local dynamics promotes multi-chimeras
- Desynchronization transitions in adaptive networks
- Chimera patterns under the impact of noise
- The smallest chimera states
- Basins of Attraction for Chimera States
- A Tweezer for Chimeras in Small Networks
- Delay controls chimera relay synchronization in multiplex networks
- Bistable Chimera Attractors on a Triangular Network of Oscillator Populations
- Chimeras in a Network of Three Oscillator Populations with Varying Network Topology
- Hyperbolicity impedes emergence of chimera states in networks of nonlocally coupled chaotic oscillators
- Alternating chimeras in networks of ephaptically coupled bursting neurons
- Chimera states in coupled Kuramoto oscillators with inertia
- Mechanism for intensity induced chimera states in globally coupled oscillators
- Delayed-feedback chimera states: Forced multiclusters and stochastic resonance
- Impact of symmetry breaking in networks of globally coupled oscillators
- Amplitude chimeras and chimera death in dynamical networks
- Partial synchronization in empirical brain networks as a model for unihemispheric sleep
- Time delay control of symmetry-breaking primary and secondary oscillation death
- Quantum correlations and synchronization measures
- The oscillating two-cluster chimera state in non-locally coupled phase oscillators
- Relay synchronization in multiplex networks of discrete maps
- Unbalanced clustering and solitary states in coupled excitable systems
- Chimera states in networks of logistic maps with hierarchical connectivities
- Effect of disorder and noise in shaping the dynamics of power grids
- Linked and knotted chimera filaments in oscillatory systems
- Different kinds of chimera death states in nonlocally coupled oscillators
- Chimera-like states in two distinct groups of identical populations of coupled Stuart-Landau oscillators
- Minimal Chimera States in Phase-Lag Coupled Mechanical Oscillators
- Aging transition in coupled quantum oscillators
- Dynamics of two populations of phase oscillators with different frequency distributions
- Amplitude Mediated Chimera States with Active and Inactive Oscillators
- Anisotropic confinement effects in a two-dimensional plasma crystal
- Kerr nonlinearity hinders symmetry-breaking states of coupled quantum oscillators
- Cellular automaton for chimera states
- The Lifting Bifurcation Problem on Feed-Forward Networks
- A new class of chimeras in locally coupled oscillators with small-amplitude, high-frequency asynchrony and large-amplitude, low-frequency synchrony
- Pattern in non-linearly coupled network of identical Thomas oscillators
- Noise-induced chimera states in a neural network
- Chimera states in quantum mechanics
- Nonequilibrium thermodynamic signatures of collective dynamical states around chimera in a chemical reaction network
- Chimera patterns in conservative systems and ultracold atoms with mediated nonlocal hopping
- Synchronization structures in the chain of rotating pendulums
- Chimera states in nonlocally coupled phase oscillators with biharmonic interaction
- Chimera dynamics in nonlocally coupled moving phase oscillators
- External and mutual synchronization of chimeras in a two layer network of nonlinear oscillators