Self-organized alternating chimera states in oscillatory media

Abstract

Oscillatory media can exhibit the coexistence of synchronized and desynchronized regions, so-called chimera states, for uniform parameters and symmetrical coupling. In a phase-balanced chimera state, where the totals of synchronized and desynchronized regions, respectively, are of the same size, the symmetry of the system predicts that interchanging both phases still gives a solution to the underlying equations. We observe this kind of interchange as a self-emerging phenomenon in an oscillatory medium with nonlinear global coupling. An interplay between local and global couplings renders the formation of these alternating chimeras possible.

References in corpus (5)

• Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
• Coexistence of Coherence and Incoherence in Nonlocally Coupled Phase Oscillators
• Clustered chimera states in delay coupled oscillator systems
• Computational Study of Turbulent-Laminar Patterns in Couette Flow
• Front explosion in a periodically forced surface reaction

Cited by in corpus (14)

• Chimera states in a multilayer network of coupled and uncoupled neurons
• Chimera states in uncoupled neurons induced by a multilayer structure
• The changing notion of chimera states, a critical review
• Chimera states in a neuronal network under the action of an electric field
• Critical Switching in Globally Attractive Chimeras
• On the analysis of a time varying noise-modulated heterogeneous coupled network of Chialvo neurons under the influence of electromagnetic flux
• Quantifying the transition from spiral waves to spiral wave chimeras in a lattice of self-sustained oscillators
• Heteroclinic Switching between Chimeras in a Ring of Six Oscillator Populations
• A new class of chimeras in locally coupled oscillators with small-amplitude, high-frequency asynchrony and large-amplitude, low-frequency synchrony
• Nonequilibrium thermodynamic characterization of chimeras in a continuum chemical oscillator system
• Noise-induced chimera states in a neural network
• Chimera states through invariant manifold theory
• Emergence of metastability in frustrated oscillatory networks: the key role of hierarchical modularity
• Spiral wave chimeras in populations of oscillators coupled to a slowly varying diffusive environment