2134/15311 Huaizhong Zhao Huaizhong Zhao Z-H. Zheng Z-H. Zheng Random periodic solutions of random dynamical systems Loughborough University 2014 Random periodic solution Perfect cocycle Random dynamical system Invariant set Lyapunov exponent Mathematical Sciences not elsewhere classified 2014-07-23 12:53:05 Journal contribution https://repository.lboro.ac.uk/articles/journal_contribution/Random_periodic_solutions_of_random_dynamical_systems/9387290 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.