TY  - JOUR
A1  - Liu, Xianming
A1  - Duan, Jinqiao
A1  - Liu, Jicheng
A1  - Kloeden, Peter E.
T1  - Synchronization of dissipative dynamical systems driven by non-Gaussian Lévy noises
T2  - Journal of applied mathematics and stochastic analysis
N2  - 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.
Y1  - 2010
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/7577
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30-75569
SN  - 1048-9533
N1  - Copyright © 2010 Xianming Liu et al. This is an open access article distributed under the Creative Commons Attribution License http://creativecommons.org/licenses/by/3.0/ , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
VL  - 2010
IS  - Article ID 502803
SP  - 1
EP  - 13
PB  - Hindawi
CY  - New York, NY
ER  -