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Random periodic solutions of random dynamical systems |
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| Authors: | Huaizhong Zhao Zuo-Huan Zheng |
| Affiliation: | a Department of Mathematical Sciences, Loughborough University, LE11 3TU, UK b Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, PR China |
| 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 C1 perfect cocycle on a cylinder using a random invariant set, the Lyapunov exponents and the pullback of the cocycle. |
| Keywords: | Random periodic solution Perfect cocycle Random dynamical system Invariant set Lyapunov exponent |
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