Attractors for lattice dynamical systems

被引：243

作者：

Bates, PW ^{[1
]}

Lu, KN

Wang, BX

机构：

[1] Brigham Young Univ, Dept Math, Provo, UT 84602 USA

[2] Tsinghua Univ, Dept Appl Math, Beijing 100084, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2001年 / 11卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1142/S0218127401002031

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the asymptotic behavior of solutions for lattice dynamical systems. We first prove asymptotic compactness and then establish the existence of global attractors. The upper semicontinuity of the global attractor is also obtained when the lattice differential equations are approached by finite-dimensional systems.

引用

页码：143 / 153

页数：11

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