Spiral wave chimeras in populations of oscillators coupled to a slowly varying diffusive environment

Abstract

Chimera states are firstly discovered in nonlocally coupled oscillator systems. Such a nonlocal coupling arises typically as oscillators are coupled via an external environment whose characteristic time scale $\tau$ is so small (i.e., $\tau \to 0$) that it could be eliminated adiabatically. Nevertheless, whether the chimera states still exist in the opposite situation (i.e., $\tau \gg 1$) is unknown. Here, by coupling large populations of Stuart-Landau oscillators to a diffusive environment, we demonstrate that spiral wave chimeras do exist in this oscillator-environment coupling system even when $\tau$ is very large. Various transitions such as from spiral wave chimeras to spiral waves or unstable spiral wave chimeras as functions of the system parameters are explored. A physical picture for explaining the formation of spiral wave chimeras is also provided. The existence of spiral wave chimeras is further confirmed in ensembles of FitzHugh-Nagumo oscillators with the similar oscillator-environment coupling mechanism. Our results provide an affirmative answer to the observation of spiral wave chimeras in populations of oscillators mediated via a slowly changing environment and give important hints to generate chimera patterns in both laboratory and realistic chemical or biological systems.

arXiv comment28 pages, 8 figures

References in corpus (28)

• Chimera States for Coupled Oscillators
• Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
• Chimera States in Mechanical Oscillator Networks
• Solvable model for chimera states of coupled oscillators
• Coexistence of Coherence and Incoherence in Nonlocally Coupled Phase Oscillators
• Loss of coherence in dynamical networks: spatial chaos and chimera states
• Chimera Death: Symmetry Breaking in Dynamical Networks
• Rotating Spiral Waves with Phase-Randomized Core in Non-locally Coupled Oscillators
• Solvable Model of Spiral Wave Chimeras
• Clustered chimera states in delay coupled oscillator systems
• Chimera states: The Existence Criteria Revisited
• Coherence-resonance chimeras in a network of excitable elements
• Laser Chimeras as a paradigm for multi-stable patterns in complex systems
• Chimeras in networks with purely local coupling
• Amplitude mediated chimera states
• Chimera states: Effects of different coupling topologies
• Imperfect traveling chimera states induced by local synaptic gradient coupling
• Chimera states in two-dimensional networks of locally coupled oscillators
• Self-organized alternating chimera states in oscillatory media
• Spiral wave chimeras in locally coupled oscillator systems
• Multiscale modeling of oscillations and spiral waves in Dictyostelium populations
• Chaos in Dirac electron optics: Emergence of a relativistic quantum chimera
• Drifting Pattern Domains in a Reaction-Diffusion System with Nonlocal Coupling
• Mechanism for Strong Chimeras
• An Asymptotic Analysis of a 2-D Model of Dynamically Active Compartments Coupled by Bulk Diffusion
• Stable amplitude chimera states in a network of locally coupled Stuart-Landau oscillators
• Phase-flip chimera induced by environmental nonlocal coupling
• Quorum sensing in populations of spatially extended chaotic oscillators coupled indirectly via a heterogeneous environment