Chimera States for Coupled Oscillators

Daniel M. Abrams, Steven H. Strogatz
2004 Physical Review Letters  
Arrays of identical oscillators can display a remarkable spatiotemporal pattern in which phase-locked oscillators coexist with drifting ones. Discovered two years ago, such "chimera states" are believed to be impossible for locally or globally coupled systems; they are peculiar to the intermediate case of nonlocal coupling. Here we present an exact solution for this state, for a ring of phase oscillators coupled by a cosine kernel. We show that the stable chimera state bifurcates from a
more » ... ates from a spatially modulated drift state, and dies in a saddle-node bifurcation with an unstable chimera.
doi:10.1103/physrevlett.93.174102 pmid:15525081 fatcat:bi5watvxnrewngwamy6edh3vqy