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

  • 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.

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Author:Xianming Liu, Jinqiao Duan, Jicheng Liu, Peter E. Kloeden
Parent Title (English):Journal of applied mathematics and stochastic analysis
Place of publication:New York, NY
Document Type:Article
Date of Publication (online):2010/03/09
Year of first Publication:2010
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2010/03/09
Issue:Article ID 502803
Page Number:13
First Page:1
Last Page:13
Copyright © 2010 Xianming Liu et al. This is an open access article distributed under the Creative Commons Attribution License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Institutes:Informatik und Mathematik / Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):License LogoCreative Commons - Namensnennung 3.0