Random attractors for stochastic sine-Gordon lattice systems with multiplicative white noise

被引：49

作者：

Han, Xiaoying ^{[1
]}

机构：

[1] Auburn Univ, Dept Math & Stat, Auburn, AL 36849 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 376卷 / 02期

关键词：

Random attractor; Stochastic sine-Gordon lattice equations; Random asymptotic nullness; DISCRETE NAGUMO EQUATION; DYNAMICAL-SYSTEMS; EXISTENCE;

D O I：

10.1016/j.jmaa.2010.11.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the asymptotic behavior of solutions to the stochastic sine-Gordon lattice equations with multiplicative white noise. We first prove the existence and uniqueness of solutions, and then establish the existence of tempered random bounded absorbing sets and global random attractors. (C) 2010 Elsevier Inc. All rights reserved.

引用

收藏

页码：481 / 493

页数：13

相关论文

共 21 条

[1]

Arnold L, 1998, Random dynamical systems

[2] Attractors for Stochastic lattice dynamical systems [J].

Bates, PW ;

Lisei, H ;

Lu, KN .

STOCHASTICS AND DYNAMICS, 2006, 6 (01) :1-21

[3] Attractors for lattice dynamical systems [J].

Bates, PW ;

Lu, KN ;

Wang, BX .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2001, 11 (01) :143-153

[4] Attractors of Reaction Diffusion Systems on Infinite Lattices [J].

W.-J. Beyn ;

S. Yu Pilyugin .

Journal of Dynamics and Differential Equations, 2003, 15 (2-3) :485-515

[5] THEORY OF CRYSTAL GROWTH AND INTERFACE MOTION IN CRYSTALLINE MATERIALS [J].

CAHN, JW .

ACTA METALLURGICA, 1960, 8 (08) :554-562

[6] Attractors for stochastic lattice dynamical systems with a multiplicative noise [J].

Caraballo, Tomas ;

Lu, Kening .

FRONTIERS OF MATHEMATICS IN CHINA, 2008, 3 (03) :317-335

[7] Traveling waves in lattice dynamical systems [J].

Chow, SN ;

Mallet-Paret, J ;

Shen, WX .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1998, 149 (02) :248-291

[8] PATTERN-FORMATION AND SPATIAL CHAOS IN LATTICE DYNAMICAL-SYSTEMS .1. [J].

CHOW, SN ;

MALLETPARET, J .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1995, 42 (10) :746-751

[9] CELLULAR NEURAL NETWORKS - THEORY [J].

CHUA, LO ;

YANG, L .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1257-1272

[10] THE CNN PARADIGM [J].

CHUA, LO ;

ROSKA, T .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1993, 40 (03) :147-156