Diverse coherence-resonance chimeras in coupled type-I excitable systems

Abstract

Coherence-resonance chimera was discovered in [Phys. Rev. Lett. 117, 014102 (2016)], which combines the effect of coherence resonance and classical chimeras in the presence of noise in a network of type-II excitable systems. However, the same in a network of type-I excitable units has not been observed yet. In this paper, for the first time, we report the occurrence of coherence-resonance chimera in coupled type-I excitable systems. We consider a paradigmatic model of type-I excitability, namely the saddle-node infinite period model and show that the coherence-resonance chimera appears over an optimum range of noise intensity. Moreover, we discover a unique chimera pattern that is a mixture of classical chimera and the coherence-resonance chimera. We support our results using quantitative measures and map them in parameter space. This study reveals that the coherence-resonance chimera is a general chimera pattern and thus it deepens our understanding of role of noise in coupled excitable systems.

Minor correction in Conclusion section; Accepted in Physical Review E

References in corpus (6)

• Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
• Clustered chimera states in delay coupled oscillator systems
• Clustered Chimera States in Systems of Type-I Excitability
• Partial Synchronization and Partial Amplitude Death in Mesoscale Network Motifs
• Emerging chimera states under non-identical counter-rotating oscillators
• Amplitude mediated spiral chimera pattern in a nonlinear reaction-diffusion system