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Random Attractors for Stochastic Retarded Lattice Dynamical Systems

Random attractors for stochastic retarded lattice dynamical systems
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2012 English Publisher:WileyJournal:Abstract and Applied Analysis, volume 2,012 (issn: 1085-3375, eissn: 1687-0409, Copyright policy )
Authors: Ding, Xiaoquan; Jiang, Jifa;

doi: 10.1155/2012/409282

Random Attractors for Stochastic Retarded Lattice Dynamical Systems

Abstract

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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Keywords

stochastic retarded lattice dynamical systems, global random attractors, QA1-939, Infinite-dimensional random dynamical systems; stochastic equations, Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems, Mathematics, Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Top 10%
Average
Average
gold