Attractors and approximations for lattice dynamical systems

被引：106
|
作者：
Zhou, SF [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2004年 / 200卷 / 02期
基金：
中国国家自然科学基金;
关键词：
global attractor; lattice system; equivalent norm;
D O I：
10.1016/j.jde.2004.02.005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present a sufficient condition for the existence of a global attractor for general lattice dynamical systems, then consider the existence of attractors and their approximation for second-order and first-order lattice systems which, in particular case, can be regarded as the spatial discretizations of corresponding wave equations and reaction-diffusion equations in R-k. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：342 / 368
页数：27
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