%0 Journal Article
%T Synchronization of dissipative dynamical systems driven by non-Gaussian Levy noises
%A Xianming Liu
%A Jinqiao Duan
%A Jicheng Liu
%A Peter E. Kloeden
%J Mathematics
%D 2009
%I arXiv
%X 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.
%U http://arxiv.org/abs/0901.2446v1