Random Attractors for Stochastic Retarded Lattice Dynamical Systems
Author(s) -
Xiaoquan Ding,
Jifa Jiang
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/409282
Subject(s) - attractor , mathematics , random dynamical system , random compact set , white noise , dynamical systems theory , lattice (music) , bounded function , statistical physics , pure mathematics , mathematical analysis , random field , random element , linear dynamical system , statistics , linear system , physics , quantum mechanics , acoustics
This paper is devoted to a stochastic retarded lattice dynamical system with additive white noise. We extend the method of tail estimates to stochastic retarded lattice dynamical systems and prove the existence of a compact global random attractor within the set of tempered random bounded sets
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