Random periodic solutions of random dynamical systems

Zheng, Zuohuan; Zhao, Huaizhong

Abstract

In this paper, we give the definition of the random periodic solutions of random dynamical systems. We prove the existence of such periodic solutions for a
perfect cocycle on a cylinder using a random invariant set, the Lyapunov exponents and the pullback of the cocycle.

Citation

Zheng, Z., & Zhao, H. (2009). Random periodic solutions of random dynamical systems. Journal of Differential Equations, 246(5), 2020-2038. https://doi.org/10.1016/j.jde.2008.10.011

• Journal Article Type: Article
• Online Publication Date: Nov 8, 2008
• Publication Date: Mar 1, 2009
• Deposit Date: Oct 6, 2021
• Journal: Journal of Differential equations
• Print ISSN: 0022-0396
• Electronic ISSN: 1090-2732
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 246
• Issue: 5
• Pages: 2020-2038
• ISBN: 0022-0396
• DOI: https://doi.org/10.1016/j.jde.2008.10.011
• Public URL: https://durham-repository.worktribe.com/output/1237198