Exponential attractor and its fractal dimension for a second order lattice dynamical system

被引：13

作者：

Fan, Xiaoming ^{[1
]}

Yang, Han ^{[1
]}

机构：

[1] SW Jiaotong Univ, Sch Math, Chengdu 610031, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 367卷 / 02期

关键词：

Exponential attractor; Global attractor; Lattice system; Approximation; Fractal dimension;

D O I：

10.1016/j.jmaa.2009.11.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct an exponential attractor for a second order lattice dynamical system with nonlinear damping arising from spatial discretization of wave equations in Rh. And we obtain fractal dimension of the exponential attractor and its finite-dimensional approximation. Crown Copyright (C) 2009 Published by Elsevier Inc. All rights reserved.

引用

页码：350 / 359

页数：10

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