Pullback Exponential Attractor for Second Order Nonautonomous Lattice System

Shengfan Zhou, Hong Chen and Zhaojuan Wang

Discrete Dynamics in Nature and Society, 2014, vol. 2014, 1-10

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:237027

DOI: 10.1155/2014/237027

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