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

被引：0

作者：

Sheng Fan Zhou

Qiu Li Jia

Wei Shi

机构：

[1] Shanghai Normal University,Department of Applied Mathematics

[2] ,Department of Mathematics and Physics

[3] He’nan University of Science and Technology,Department of Mathematics

[4] Shanghai University,undefined

来源：

Acta Mathematica Sinica, English Series | 2007年 / 23卷

关键词：

Kolmogorov’s ; -entropy; discrete space; dissipative lattice system; global attractor; 34A35; 34C35; 58F10;

D O I：

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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.

引用

共 19 条

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