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Chimera States for Coupled Oscillators

Daniel M. Abrams·Steven H. Strogatz
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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.

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Daniel M. Abrams, Steven H. Strogatz. 2004-07-19. Chimera States for Coupled Oscillators. https://doi.org/10.1103/physrevlett.93.174102

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