Chimera States for Coupled Oscillators
- 22 October 2004
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 93 (17), 174102
- https://doi.org/10.1103/physrevlett.93.174102
Abstract
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 spatially modulated drift state, and dies in a saddle-node bifurcation with an unstable chimera state.Keywords
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