Pullback Exponential Attractor for Second Order Nonautonomous Lattice System

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2014 English Publisher:WileyJournal:Discrete Dynamics in Nature and Society, volume 2,014, pages 1-10 (issn: 1026-0226, eissn: 1607-887X,

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Authors: Shengfan Zhou; Hong Chen; Zhaojuan Wang;

doi: 10.1155/2014/237027

Pullback Exponential Attractor for Second Order Nonautonomous Lattice System

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Abstract

We first present some sufficient conditions for the existence of a pullback exponential attractor for continuous process on the product space of the weighted spaces of infinite sequences. Then we prove the existence and continuity of a pullback exponential attractor for second order lattice system with time-dependent coupled coefficients in the weighted space of infinite sequences. Moreover, we obtain the upper bound of fractal dimension and attracting rate for the attractor.

Related Organizations

Zhejiang Normal University
China (People's Republic of)
Huaiyin Normal University
China (People's Republic of)

Keywords

QA1-939, Stability of topological dynamical systems, Mathematics

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