The onset of synchronization in systems of globally coupled chaotic and periodic oscillators
نویسندگان
چکیده
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. © 2002 Elsevier Science B.V. All rights reserved. PACS: 05.45.Xt; 05.45.Ra; 05.45.−a; 87.10.+e
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تاریخ انتشار 2002