Imperfect traveling chimera states induced by local synaptic gradient coupling

Abstract

In this paper we report the occurrence of chimera patterns in a network of neuronal oscillators, which are coupled through {\it local}, synaptic {\it gradient} coupling. We discover a new chimera pattern, namely the {\it imperfect traveling chimera} where the incoherent traveling domain spreads into the coherent domain of the network. Remarkably, we also find that chimera states arise even for {\it one-way} local coupling, which is in contrast to the earlier belief that only nonlocal, global or nearest neighbor local coupling can give rise to chimera; this find further relaxes the essential connectivity requirement of getting a chimera state. We choose a network of identical bursting Hindmarsh-Rose neuronal oscillators and show that depending upon the relative strength of the synaptic and gradient coupling several chimera patterns emerge. We map all the spatiotemporal behaviors in parameter space and identify the transitions among several chimera patterns, in-phase synchronized state and global amplitude death state.

8 pages, 9 figures,submitted for publication

References in corpus (6)

• Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
• Robustness of chimera states for coupled FitzHugh-Nagumo oscillators
• Coherence-resonance chimeras in a network of excitable elements
• Experimental observation of chimera and cluster states in a minimal globally coupled network
• Chimeras in SQUID Metamaterials
• Clustered Chimera States in Systems of Type-I Excitability

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