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arXiv · 1502.02896

Random Periodic Solutions of Random Dynamical Systems

Huaizhong Zhao·Zuo-Huan Zheng
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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 $C^1$ perfect cocycle on a cylinder using a random invariant set, the Lyapunov exponents and the pullback of the cocycle.

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Huaizhong Zhao, Zuo-Huan Zheng. 2015-02-10. Random Periodic Solutions of Random Dynamical Systems. https://doi.org/10.1016/j.jde.2008.10.011

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