Solvable model for chimera states of coupled oscillators.
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.
Abrams
Daniel M
DM
Department of Earth, Atmospheric, and Planetary Sciences, 54-621, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
Mirollo
Rennie
R
Strogatz
Steven H
SH
Wiley
Daniel A
DA