Article ID Journal Published Year Pages File Type
755829 Communications in Nonlinear Science and Numerical Simulation 2014 9 Pages PDF
Abstract

•We show that the stochastic lattice dynamical systems with α-stable Lévy noises generate a random dynamical system in ℓ2.•Prove the existence of a unique random attractor for the random dynamical system.•We provide some first steps for considering random attractors for stochastic lattice dynamical systems driven by Lévy noises.

The present paper is devoted to the existence of a random attractor for stochastic lattice dynamical systems with α-stable Lévy noises.

Keywords
Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
Authors
, ,