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arXiv · 1003.0589

Self-Emerging and Turbulent Chimeras in Oscillator Chains

G. Bordyugov·A. Pikovsky·M. Rosenblum
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Abstract

We report on a self-emerging chimera state in a homogeneous chain of nonlocally and nonlinearly coupled oscillators. This chimera, i.e. a state with coexisting regions of complete and partial synchrony, emerges via a supercritical bifurcation from a homogeneous state and thus does not require preparation of special initial conditions. We develop a theory of chimera basing on the equations for the local complex order parameter in the Ott-Antonsen approximation. Applying a numerical linear stability analysis, we also describe the instability of the chimera and transition to a phase turbulence with persistent patches of synchrony.

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G. Bordyugov, A. Pikovsky, M. Rosenblum. 2010-03-02. Self-Emerging and Turbulent Chimeras in Oscillator Chains. https://doi.org/10.1103/physreve.82.035205

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