Synchronization of Dissipative Dynamical Systems Driven by Non-Gaussian Lévy Noises
Joint Authors
Duan, Jinqiao
Liu, Xianming
Kloeden, Peter E.
Liu, Jicheng
Source
International Journal of Stochastic Analysis
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-02-23
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Liu, Xianming& Duan, Jinqiao& Liu, Jicheng& Kloeden, Peter E.. 2010. Synchronization of Dissipative Dynamical Systems Driven by Non-Gaussian Lévy Noises. International Journal of Stochastic Analysis،Vol. 2010, no. 2010, pp.1-13.
https://search.emarefa.net/detail/BIM-476729
Modern Language Association (MLA)
Liu, Xianming…[et al.]. Synchronization of Dissipative Dynamical Systems Driven by Non-Gaussian Lévy Noises. International Journal of Stochastic Analysis No. 2010 (2010), pp.1-13.
https://search.emarefa.net/detail/BIM-476729
American Medical Association (AMA)
Liu, Xianming& Duan, Jinqiao& Liu, Jicheng& Kloeden, Peter E.. Synchronization of Dissipative Dynamical Systems Driven by Non-Gaussian Lévy Noises. International Journal of Stochastic Analysis. 2010. Vol. 2010, no. 2010, pp.1-13.
https://search.emarefa.net/detail/BIM-476729
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-476729