Chimera states for coupled oscillators

Daniel M. Abrams*, Steven H. Strogatz

*Corresponding author for this work

Research output: Contribution to journalArticle

732 Scopus citations

Abstract

The different conditions that allow the existence of the chimera state and explains where it comes from, were analyzed. They are believed to be impossible for locally or globally coupled systems and are peculiar to the intermediate case of nonlocal coupling. In the mathematical chimera, an array of identical oscillator splits into two domains, one coherent and one phase locked, the other incoherent and desynchronized. It was shown that the stable chimera state bifurcates from a spatially modulated drift state and dies in saddle-node bifurcation with an unstable state.

Original languageEnglish (US)
Article number174102
Pages (from-to)174102-1-174102-4
JournalPhysical review letters
Volume93
Issue number17
DOIs
StatePublished - Oct 2 2004

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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