Solvable Model for Chimera States of Coupled Oscillators

Daniel M. Abrams, Rennie Mirollo, Steven H. Strogatz, and Daniel A. Wiley
Phys. Rev. Lett. 101, 084103 – Published 22 August 2008; Erratum Phys. Rev. Lett. 101, 129902 (2008)

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.

  • Figure
  • Figure
  • Figure
  • Figure
  • Received 3 June 2008

DOI:https://doi.org/10.1103/PhysRevLett.101.084103

©2008 American Physical Society

Erratum

Erratum: Solvable Model for Chimera States of Coupled Oscillators [Phys. Rev. Lett. 101, 084103 (2008)]

Daniel M. Abrams, Rennie Mirollo, Steven H. Strogatz, and Daniel A. Wiley
Phys. Rev. Lett. 101, 129902 (2008)

Authors & Affiliations

Daniel M. Abrams1, Rennie Mirollo2, Steven H. Strogatz3,*, and Daniel A. Wiley4

  • 1Department of Earth, Atmospheric, and Planetary Sciences, 54-621, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
  • 2Department of Mathematics, Boston College, Chestnut Hill, Massachusetts 02467, USA
  • 3Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, New York 14853, USA
  • 4Department of Mathematics, University of Maryland, College Park, Maryland 20742, USA

  • *strogatz@cornell.edu

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 101, Iss. 8 — 22 August 2008

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×