Solvable model for chimera states of coupled oscillators

Daniel M. Abrams, Rennie Mirollo, Steven H. Strogatz, Daniel A. Wiley

Research output: Contribution to journalArticlepeer-review

371 Scopus citations

Abstract

Networks of identical, symmetrically coupled oscillators can spontaneously split into synchronized and desynchronized subpopulations. Such chimera states were discovered in 2002, but are not well understood theoretically. Here we obtain the first exact results about the stability, dynamics, and bifurcations of chimera states by analyzing a minimal model consisting of two interacting populations of oscillators. Along with a completely synchronous state, the system displays stable chimeras, breathing chimeras, and saddle-node, Hopf, and homoclinic bifurcations of chimeras.

Original languageEnglish (US)
Article number084103
JournalPhysical review letters
Volume101
Issue number8
DOIs
StatePublished - Aug 22 2008

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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