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

共 50 条

[1] Pullback Exponential Attractor for Second Order Nonautonomous Lattice System
Zhou, Shengfan
Chen, Hong
Wang, Zhaojuan
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2014, 2014
[2] Upper semicontinuity of the attractor for a second order lattice dynamical system
Abdallah, AY
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2005, 5 (04): : 899 - 916
[3] Exponential Attractor for a First-Order Dissipative Lattice Dynamical System
Fan, Xiaoming
JOURNAL OF APPLIED MATHEMATICS, 2008,
[4] EXPONENTIAL ATTRACTORS FOR SECOND ORDER LATTICE DYNAMICAL SYSTEMS
Abdallah, Ahmed Y.
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2009, 8 (03) : 803 - 813
[5] Fractal Dimension of Random Attractor for a Stochastic Lattice System with White Noise
Ban, Ailing
ACTA APPLICANDAE MATHEMATICAE, 2023, 186 (01)
[6] Fractal Dimension of Random Attractor for a Stochastic Lattice System with White Noise
Ailing Ban
Acta Applicandae Mathematicae, 2023, 186
[7] Uniform Exponential Attractor for Nonautonomous Partly Dissipative Lattice Dynamical System
Zhou, Sheng Fan
Lou, Jia Jia
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2014, 30 (08) : 1381 - 1394
[8] Uniform exponential attractor for nonautonomous partly dissipative lattice dynamical system
Sheng Fan Zhou
Jia Jia Lou
Acta Mathematica Sinica, English Series, 2014, 30 : 1381 - 1394
[9] Uniform Exponential Attractor for Nonautonomous Partly Dissipative Lattice Dynamical System
Sheng Fan ZHOU
Jia Jia LOU
ActaMathematicaSinica(EnglishSeries), 2014, 30 (08) : 1381 - 1394
[10] Lattice dynamical systems: dissipative mechanism and fractal dimension of global and exponential attractors
Jan W. Cholewa
Radosław Czaja
Journal of Evolution Equations, 2020, 20 : 485 - 515

← 1 2 3 4 5 →