Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
755829 | Communications in Nonlinear Science and Numerical Simulation | 2014 | 9 Pages |
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.
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Authors
Anhui Gu, Wu Ai,