Kolmogorov's ε-Entropy of Bounded Sets in Discrete Spaces and Attractors of Dissipative Lattice Systems  

作　　者：Sheng Fan ZHOU Qiu Li JIA Wei SHI 

机构地区：[1]Department of Applied Mathematics,Shanghai Normal University [2]Department of Mathematics and Physics,He'nan University of Science and Technology [3]Department of Mathematics,Shanghai University

出　　处：《Acta Mathematica Sinica,English Series》2007年第2期313-320,共8页数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grants 10471086;the Science Foundation of He'nan Unversity of Science and Technology under Grant 2006QN024

摘　　要：We obtain an estimate of the upper bound for Kolmogorov＇s ε-entropy for the bounded sets with small ＂tail＂ in discrete spaces, then we present a sufficient condition for the existence of a global attractor for dissipative lattice systems in a reflexive Banach discrete space and establish an upper bound of Kolmogorov＇s ε-entropy of the global attractor for lattice systems.We obtain an estimate of the upper bound for Kolmogorov＇s ε-entropy for the bounded sets with small ＂tail＂ in discrete spaces, then we present a sufficient condition for the existence of a global attractor for dissipative lattice systems in a reflexive Banach discrete space and establish an upper bound of Kolmogorov＇s ε-entropy of the global attractor for lattice systems.

关 键 词：Kolmogorov＇s ε-entropy discrete space dissipative lattice system global attractor 

分 类 号：O177[理学—数学]