Experimental observation of chimera and cluster states in a minimal globally coupled network

Abstract

A "chimera state" is a dynamical pattern that occurs in a network of coupled identical oscillators when the symmetry of the oscillator population is broken into synchronous and asynchronous parts. We report the experimental observation of chimera and cluster states in a network of four globally coupled chaotic opto-electronic oscillators. This is the minimal network that can support chimera states, and our study provides new insight into the fundamental mechanisms underlying their formation. We use a unified approach to determine the stability of all the observed partially synchronous patterns, highlighting the close relationship between chimera and cluster states as belonging to the broader phenomenon of partial synchronization. Our approach is general in terms of network size and connectivity. We also find that chimera states often appear in regions of multistability between global, cluster, and desynchronized states.

References in corpus (9)

• Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
• Coexistence of Coherence and Incoherence in Nonlocally Coupled Phase Oscillators
• Weak chimeras in minimal networks of coupled phase oscillators
• Clustering as a prerequisite for chimera states in globally coupled systems
• Transient scaling and resurgence of chimera states in networks of Boolean phase oscillators
• Amplitude-phase coupling drives chimera states in globally coupled laser networks
• Robustness of Optimal Synchronization in Real Networks
• Mechanism for intensity induced chimera states in globally coupled oscillators
• Chimeras in globally coupled oscillatory systems: From ensembles of oscillators to spatially continuous media

Cited by in corpus (48)

• Chimera states: Effects of different coupling topologies
• Cognitive chimera states in human brain networks
• Chimera states in brain networks: empirical neural vs. modular fractal connectivity
• Imperfect traveling chimera states induced by local synaptic gradient coupling
• Chimera patterns induced by distance-dependent power-law coupling in ecological networks
• Stable Chimeras and Independently Synchronizable Clusters
• Solitary states for coupled oscillators
• The smallest chimera states
• Topological Control of Synchronization Patterns: Trading Symmetry for Stability
• Delayed Dynamical Systems: Networks, Chimeras and Reservoir Computing
• The changing notion of chimera states, a critical review
• Introduction to Focus Issue: Patterns of Network Synchronization
• Symmetries of Chimera States
• Symmetry-independent stability analysis of synchronization patterns
• Robust Weak Chimeras in Oscillator Networks with Delayed Linear and Quadratic Interactions
• Networks of coupled oscillators: from phase to amplitude chimeras
• Experiments with arbitrary networks in time-multiplexed delay systems
• Small Chimera States without Multistability in a Globally Delay-Coupled Network of Four Lasers
• Coexisting synchronous and asynchronous states in locally coupled array of oscillators by partial self-feedback control
• Mechanism for Strong Chimeras
• Critical Switching in Globally Attractive Chimeras
• Spike-burst chimera states in an adaptive exponential integrate-and-fire neuronal network
• Cluster synchronization in complex network of coupled chaotic circuits: an experimental study
• Experimental investigation on the susceptibility of minimal networks to a change in topology and number of oscillators
• Network experiment demonstrates converse symmetry breaking
• Rijke tube: A nonlinear oscillator
• Chimera states in small disordered optomechanical arrays
• Antagonistic Phenomena in Network Dynamics
• Perfect coherent transfer in an on-chip reconfigurable nanoelectromechanical network
• Machine Learning Link Inference of Noisy Delay-coupled Networks with Opto-Electronic Experimental Tests
• Identification of Chimera using Machine Learning
• Symmetry breaking yields chimeras in two small populations of Kuramoto-type oscillators
• Self adaptation of chimera states
• Mobility-induced persistent chimera states
• Attracting Poisson Chimeras in Two-population Networks
• Chimeras and clusters in networks of hyperbolic chaotic oscillators
• Identification of single- and double-well coherence-incoherence patterns by the binary distance matrix
• Transient Chaos Generates Small Chimeras
• Chimera states in networks of locally and non-locally coupled SQUIDs
• Asymmetric cluster and chimera dynamics in globally coupled systems
• Scaling law of transient lifetime of chimera states under dimension-augmenting perturbations
• Variety of rotation modes in a small chain of coupled pendulums
• Detecting partial synchrony in a complex oscillatory network using pseudo-vortices
• Connecting minimal chimeras and fully asymmetric chaotic attractors through equivariant pitchfork bifurcations
• Comment on "Failure of the simultaneous block diagonalization technique applied to complete and cluster synchronization of random networks"
• Characterizing correlations and synchronization in collective dynamics
• Local sensitivity of spatiotemporal structures
• Coherence and Transients in Nonlocally Coupled Dissipative Kicked Rotors