ENTROPY OF NONAUTONOMOUS DYNAMICAL SYSTEMS

被引：40

作者：

Zhu, Yujun ^{[1
]}

Liu, Zhaofeng ^{[1
]}

Xu, Xueli ^{[1
]}

Zhang, Wenda ^{[1
]}

机构：

[1] Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050016, Peoples R China

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2012年 / 49卷 / 01期

基金：

中国国家自然科学基金;

关键词：

nonautonomous dynamical system; random dynamical system; topological entropy; measure-theoretic entropy; TOPOLOGICAL-ENTROPY;

D O I：

10.4134/JKMS.2012.49.1.165

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the topological entropy and measure-theoretic entropy for nonautonomous dynamical systems are studied. Some properties of these entropies are given and the relation between them is discussed. Moreover, the bounds of them for several particular nonautonomous systems, such as affine transformations on metrizable groups (especially on the torus) and smooth maps on Riemannian manifolds, are obtained.

引用

页码：165 / 185

页数：21

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