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