The smallest chimera: Periodicity and chaos in a pair of coupled chemical oscillators

Symmetrically coupled identical oscillators were once believed to support only totally synchronous or totally asynchronous states. More recently, chimera states, in which a subset of oscillators behaves coherently while the other subset exhibits disorder, have been found in large arrays of oscillato...

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Published inChaos (Woodbury, N.Y.) Vol. 29; no. 1; p. 013131
Main Authors Awal, Naziru M, Bullara, Domenico, Epstein, Irving R
Format Journal Article
LanguageEnglish
Published United States 01.01.2019
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Summary:Symmetrically coupled identical oscillators were once believed to support only totally synchronous or totally asynchronous states. More recently, chimera states, in which a subset of oscillators behaves coherently while the other subset exhibits disorder, have been found in large arrays of oscillators, coupled either locally or globally. We demonstrate for the first time the existence of a chimera state with only two diffusively coupled identical oscillators, one behaving nearly periodically (coherently) and the other chaotically (incoherently). We attribute this behavior to a "master-slave" interaction, which arises via a symmetry-breaking canard explosion.
ISSN:1089-7682
DOI:10.1063/1.5060959