Random attractors for stochastic discrete complex Ginzburg–Landau equations with long-range interactions
Yi‐Ju Chen, Xiaohu Wang
Abstract
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.
Topics & Concepts
AttractorUniquenessMathematicsStatistical physicsRange (aeronautics)Space (punctuation)Random dynamical systemStochastic processApplied mathematicsMathematical analysisPhysicsComputer scienceLinear dynamical systemMaterials scienceStatisticsLinear systemComposite materialOperating systemStability and Controllability of Differential EquationsNonlinear Dynamics and Pattern Formation