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.
| Author: | Xianming Liu, Jinqiao Duan, Jicheng Liu, Peter E. Kloeden |
|---|---|
| URN: | urn:nbn:de:hebis:30-75569 |
| DOI: | https://doi.org/10.1155/2010/502803 |
| ISSN: | 1048-9533 |
| Parent Title (English): | Journal of applied mathematics and stochastic analysis |
| Publisher: | Hindawi |
| Place of publication: | New York, NY |
| Document Type: | Article |
| Language: | English |
| Date of Publication (online): | 2010/03/09 |
| Year of first Publication: | 2010 |
| Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
| Release Date: | 2010/03/09 |
| Volume: | 2010 |
| Issue: | Article ID 502803 |
| Page Number: | 13 |
| First Page: | 1 |
| Last Page: | 13 |
| Note: | 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. |
| HeBIS-PPN: | 221786627 |
| Institutes: | Informatik und Mathematik / Mathematik |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Licence (German): |  Creative Commons - Namensnennung 3.0 |
