Stochastic Bifurcation of Pathwise Random Almost Periodic and Almost   Automorphic Solutions for Random Dynamical Systems
  In this paper, we introduce concepts of pathwise random almost periodic and almost automorphic solutions for dynamical systems generated by non-autonomous stochastic equations. These solutions are pathwise stochastic analogues of deterministic dynamical systems. The existence and bifurcation of random periodic (random almost periodic, random almost automorphic) solutions have been established for a one-dimensional stochastic equation with multiplicative noise. 
Bixiang Wang
math.DS math.PR