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      Chimera States for Coupled Oscillators

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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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          Author and article information

          Journal
          19 July 2004
          Article
          10.1103/PhysRevLett.93.174102
          nlin/0407045
          Custom metadata
          Physical Review Letters 93, 174102 (2004)
          4 pages, 4 figures
          nlin.PS

          Nonlinear & Complex systems

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