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

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

2002-05-09

arxiv.org/abs/nlin/0205018v1

Nonlinear Sciences

Chaotic Dynamics

26 pages and 26 figures

Scientific paper

10.1016/S0167-2789(02)00663-2

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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