Self-Emerging and Turbulent Chimeras in Oscillator Chains - Nonlinear Sciences > Pattern Formation and SolitonsReportar como inadecuado




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Abstract: We report on a self-emerging chimera state in a homogeneous chain ofnonlocally and nonlinearly coupled oscillators. This chimera, i.e. a state withcoexisting regions of complete and partial synchrony, emerges via asupercritical bifurcation from a homogeneous state and thus does not requirepreparation of special initial conditions. We develop a theory of chimerabasing on the equations for the local complex order parameter in theOtt-Antonsen approximation. Applying a numerical linear stability analysis, wealso describe the instability of the chimera and transition to a phaseturbulence with persistent patches of synchrony.



Autor: G. Bordyugov, A. Pikovsky, M. Rosenblum

Fuente: https://arxiv.org/



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