Random periodic solutions of random dynamical systems

Zhao, Huaizhong; Zheng, Z-H.

Random periodic solutions of random dynamical systems

journal contribution

posted on 2014-07-23, 12:53 authored by Huaizhong Zhao, Z-H. Zheng

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 C perfect cocycle on a cylinder using a random invariant set, the Lyapunov exponents and the pullback of the cocycle.

History

School

Science

Department

Mathematical Sciences

Published in

Journal of Differential Equations

Volume

246

Issue

5

Pages

2020 - 2038

Citation

ZHAO, H. and ZHENG, Z-H., 2009. Random periodic solutions of random dynamical systems. Journal of Differential Equations, 246 (5), pp. 2020 - 2038.

Publisher

Version

AM (Accepted Manuscript)

Publication date

2009

Notes

This article was published in the Journal of Differential Equations [© Elsevier Inc.] and the definitive version is available with an Elsevier user License at: http://dx.doi.org/10.1016/j.jde.2008.10.011