Random attractors for stochastic discrete complex Ginzburg–Landau equations with long-range interactions.

This paper is concerned with the pathwise dynamics of a class of stochastic discrete complex Ginzburg–Landau equations with long-range interactions. Under suitable assumptions on the weight function and coupling parameters of long-range interactions, we prove the existence and uniqueness of the random attractor for the considered system in weighted space. [ABSTRACT FROM AUTHOR]