Random Attractors for the Stochastic FitzHugh-Nagumo System on Unbounded   Domains
  The existence of a random attractor for the stochastic FitzHugh-Nagumo system defined on an unbounded domain is established. The pullback asymptotic compactness of the stochastic system is proved by uniform estimates on solutions for large space and time variables. These estimates are obtained by a cut-off technique. 
Bixiang Wang