Upper semicontinuity of the attractor for a second order lattice dynamical system

被引:17
作者
Abdallah, AY [1 ]
机构
[1] Univ Jordan, Dept Math, Amman 11942, Jordan
来源
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2005年 / 5卷 / 04期
关键词
lattice dynamical system; absorbing set; global attractor; upper semicontinuity;
D O I
10.3934/dcdsb.2005.5.899
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the existence and the upper semicontinuity of the global attractor for a second order lattice dynamical system.
引用
收藏
页码:899 / 916
页数:18
相关论文
共 32 条
[1]  
ABDALLAH AY, UNPUB NONLINEAR ANAL
[2]   CHAOS OF TRAVELING WAVES IN A DISCRETE CHAIN OF DIFFUSIVELY COUPLED MAPS [J].
AFRAIMOVICH, VS ;
NEKORKIN, VI .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1994, 4 (03) :631-637
[3]   Synchronization in lattices of coupled oscillators [J].
Afraimovich, VS ;
Chow, SN ;
Hale, JK .
PHYSICA D, 1997, 103 (1-4) :442-451
[4]   Attractors for lattice dynamical systems [J].
Bates, PW ;
Lu, KN ;
Wang, BX .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2001, 11 (01) :143-153
[5]   A discrete convolution model for phase transitions [J].
Bates, PW ;
Chmaj, A .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1999, 150 (04) :281-305
[6]  
BELL J, 1984, Q APPL MATH, V42, P1
[7]   SOME THRESHOLD RESULTS FOR MODELS OF MYELINATED NERVES [J].
BELL, J .
MATHEMATICAL BIOSCIENCES, 1981, 54 (3-4) :181-190
[8]  
Belleri V, 2001, DISCRET CONTIN DYN S, V7, P719
[9]  
Borini S, 1999, ASYMPTOTIC ANAL, V20, P263
[10]   Attractors for strongly damped wave equations with critical nonlinearities [J].
Carvalho, AN ;
Cholewa, JW .
PACIFIC JOURNAL OF MATHEMATICS, 2002, 207 (02) :287-310