Center manifolds for stochastic evolution equations
  Stochastic invariant manifolds are crucial in modelling the dynamical behavior of dynamical systems under uncertainty. Under the assumption of exponential trichotomy, existence and smoothness of center manifolds for a class of stochastic evolution equations with linearly multiplicative noise are proved. The exponential attraction and approximation to center manifolds are also discussed. 
Xiaopeng Chen, A. J. Roberts and Jinqiao Duan
math.DS