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

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dc.creatorLiu, Xianming
dc.creatorDuan, Jinqiao
dc.creatorLiu, Jicheng
dc.creatorKloeden, Peter E.
dc.date2009-01-16
dc.date.accessioned2026-07-07T12:31:03Z
dc.date.available2026-07-07T12:31:03Z
dc.descriptionDynamical 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.
dc.description22pages
dc.identifierhttps://arxiv.org/abs/0901.2446
dc.identifierhttp://arxiv.org/abs/0901.2446
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216324
dc.subjectDynamical Systems
dc.subjectProbability
dc.subject60H15, 60F10, 60G17
dc.titleSynchronization of dissipative dynamical systems driven by non-Gaussian Levy noises
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