Abstract and Applied Analysis · 2012 · 15 citations · 41 references
Natural SciencesMathematicsDynamical SystemsProbability TheoryStochastic ProcessesChaos TheoryLattice DynamicsStochastic ControlStochastic Differential EquationsStochastic StabilityStochastic Systems ModelingAdditive NoiseAttractorsChaos In Dynamical SystemsGlobal AttractorsLattice Dynamical SystemsRandom AttractorsStochastic Dynamical SystemsWhite Noise
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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