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Random Periodic Solutions of Random Dynamical Systems

Probability 2015-02-11 v1

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 C1C^1 perfect cocycle on a cylinder using a random invariant set, the Lyapunov exponents and the pullback of the cocycle.

Keywords

Cite

@article{arxiv.1502.02896,
  title  = {Random Periodic Solutions of Random Dynamical Systems},
  author = {Huaizhong Zhao and Zuo-Huan Zheng},
  journal= {arXiv preprint arXiv:1502.02896},
  year   = {2015}
}
R2 v1 2026-06-22T08:26:32.929Z