| Random attractors for stochastic differential equations Bixiang Wang (New Mexico Tech) ABSTRACT: We will discuss the concept of random attractor for dynamical systems associated with stochastic differential equations, and prove the existence of such attractors forsome stochastic PDEs defined on unbounded domains. The limiting behavior of random attractors will also be examined when the strength of stochastic perturbations approaches zero. Some examples are provided to demonstrate the effect of stochastic perturbations on the dynamics of deterministic equations. |