Synchronization of dissipative dynamical systems driven by non-Gaussian Levy noises

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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 non- Gaussian Levy noises is considered. After discussing cocycle prop- erty, stationary orbits and random attractors, a synchronization phe- nomenon is shown to occur, when the drift terms of the coupled system satisfy certain dissipativity and integrability conditions. The synchro- nization result implies that coupled dynamical systems share a dy- namical feature in some asymptotic sense.
22pages

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Dynamical Systems, Probability, 60H15, 60F10, 60G17

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http://salesiana.dossiersoluciones.com/handle/123456789/216324

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0901.2446
 http://arxiv.org/abs/0901.2446

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arXiv