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The Onset of Synchronization in Systems of Globally Coupled Chaotic and Periodic Oscillators

Edward Ott·Paul So·Ernest Barreto·Thomas Antonsen
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Abstract

A general stability analysis is presented for the determination of the transition from incoherent to coherent behavior in an ensemble of globally coupled, heterogeneous, continuous-time dynamical systems. The formalism allows for the simultaneous presence of ensemble members exhibiting chaotic and periodic behavior, and, in a special case, yields the Kuramoto model for globally coupled periodic oscillators described by a phase. Numerical experiments using different types of ensembles of Lorenz equations with a distribution of parameters are presented.

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Edward Ott, Paul So, Ernest Barreto, Thomas Antonsen. 2002-05-09. The Onset of Synchronization in Systems of Globally Coupled Chaotic and Periodic Oscillators. https://doi.org/10.1016/s0167-2789(02)00663-2

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