Chimera-type states induced by local coupling

M. G. Clerc, S. Coulibaly, M. A. Ferré, M. A. García-Ñustes, R. G. Rojas

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Abstract

Coupled oscillators can exhibit complex self-organization behavior such as phase turbulence, spatiotemporal intermittency, and chimera states. The latter corresponds to a coexistence of coherent and incoherent states apparently promoted by nonlocal or global coupling. Here we investigate the existence, stability properties, and bifurcation diagram of chimera-type states in a system with local coupling without different time scales. Based on a model of a chain of nonlinear oscillators coupled to adjacent neighbors, we identify the required attributes to observe these states: local coupling and bistability between a stationary and an oscillatory state close to a homoclinic bifurcation. The local coupling prevents the incoherent state from invading the coherent one, allowing concurrently the existence of a family of chimera states, which are organized by a homoclinic snaking bifurcation diagram.

Original languageEnglish
Article number052204
JournalPhysical Review E
Volume93
Issue number5
DOIs
StatePublished - 5 May 2016
Externally publishedYes

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