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

页码：342 / 368

页数：27

共 50 条

[41] ASYMPTOTIC BEHAVIOR OF RANDOM LATTICE DYNAMICAL SYSTEMS AND THEIR WONG-ZAKAI APPROXIMATIONS
Gu, Anhui
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 24 (10): : 5737 - 5767
[42] Wong-Zakai approximations and random attractors for non-autonomous stochastic lattice systems
Wang, Xiaohu
Shen, Jun
Lu, Kening
Wang, Bixiang
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 280 : 477 - 516
[43] Uniform Exponential Attractors for Second Order Non-autonomous Lattice Dynamical Systems
Xiao-peng ZHOU
Fu-qi YIN
Sheng-fan ZHOU
ActaMathematicaeApplicataeSinica, 2017, 33 (03) : 587 - 606
[44] Uniform exponential attractors for first order non-autonomous lattice dynamical systems
Abdallah, Ahmed Y.
JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 251 (06) : 1489 - 1504
[45] Wong-Zakai approximations and random attractors for stochastic p-Laplacian lattice systems
Zhang, Xuping
Liang, Rong
JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 395 : 1 - 37
[46] UNIFORM GLOBAL ATTRACTORS FOR FIRST ORDER NON-AUTONOMOUS LATTICE DYNAMICAL SYSTEMS
Abdallah, Ahmed Y.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138 (09) : 3219 - 3228
[47] Random Attractors for Partly Dissipative Stochastic Lattice Dynamical Systems with Multiplicative White Noises
An-hui GU
Sheng-fan ZHOU
Qing-fei JIN
ActaMathematicaeApplicataeSinica, 2015, 31 (02) : 567 - 576
[48] Attractors of stochastic lattice dynamical systems with a multiplicative noise and non-Lipschitz nonlinearities
Caraballo, Tomas
Morillas, F.
Valero, J.
JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 253 (02) : 667 - 693
[49] Sufficient conditions for the existence of global random attractors for stochastic lattice dynamical systems and applications
Zhao, Caidi
Zhou, Shengfan
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 354 (01) : 78 - 95
[50] Random attractors for partly dissipative stochastic lattice dynamical systems with multiplicative white noises
An-hui Gu
Sheng-fan Zhou
Qing-fei Jin
Acta Mathematicae Applicatae Sinica, English Series, 2015, 31 : 567 - 576

← 1 2 3 4 5 →