Synchronization of Dissipative Dynamical Systems Driven by Non-Gaussian Lévy Noises

[摘要] Dynamical systems driven by Gaussian noises have been consideredextensively in modeling, simulation, and theory. However, complex systemsin engineering and science are often subject to non-Gaussian fluctuationsor uncertainties. A coupled dynamical system under a class of Lévy noises is considered. After discussing cocycle property, stationary orbits, and random attractors, a synchronization phenomenonis shown to occur, when the drift terms of the coupled system satisfycertain dissipativity and integrability conditions. The synchronizationresult implies that coupled dynamical systems share a dynamicalfeature in some asymptotic sense.

[学科分类] 应用数学