Clustered Chimera States in Systems of Type-I Excitability

Abstract

Chimera is a fascinating phenomenon of coexisting synchronized and desynchronized behaviour that was discovered in networks of nonlocally coupled identical phase oscillators over ten years ago. Since then, chimeras were found in numerous theoretical and experimental studies and more recently in models of neuronal dynamics as well. In this work, we consider a generic model for a saddle-node bifurcation on a limit cycle representative for neural excitability type I. We obtain chimera states with multiple coherent regions (clustered chimeras/multi-chimeras) depending on the distance from the excitability threshold, the range of nonlocal coupling as well as the coupling strength. A detailed stability diagram for these chimera states as well as other interesting coexisting patterns like traveling waves are presented.

References in corpus (2)

• Analysis of a power grid using the Kuramoto-like model
• Clustered chimera states in delay coupled oscillator systems

Cited by in corpus (6)

• Chimera states in a multilayer network of coupled and uncoupled neurons
• Robustness of chimera states for coupled FitzHugh-Nagumo oscillators
• Chimera states in uncoupled neurons induced by a multilayer structure
• Kuramoto model for populations of quadratic integrate-and-fire neurons with chemical and electrical coupling
• Diverse coherence-resonance chimeras in coupled type-I excitable systems
• Chimera states in a network-organized public goods game with destructive agents