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

Xianming Liu, Jinqiao Duan, Jicheng Liu and Peter E. Kloeden

International Journal of Stochastic Analysis, 2010, vol. 2010, 1-13

Abstract:

Dynamical systems driven by Gaussian noises have been considered extensively in modeling, simulation, and theory. However, complex systems in engineering and science are often subject to non-Gaussian fluctuations or uncertainties. A coupled dynamical system under a class of Lévy noises is considered. After discussing cocycle property, stationary orbits, and random attractors, a synchronization phenomenon is shown to occur, when the drift terms of the coupled system satisfy certain dissipativity and integrability conditions. The synchronization result implies that coupled dynamical systems share a dynamical feature in some asymptotic sense.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:502803

DOI: 10.1155/2010/502803

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