[1]许清,陈尔明.乘积系统中熵点的注记[J].华侨大学学报(自然科学版),2012,33(1):99-102.[doi:10.11830/ISSN.1000-5013.2012.01.0099]
　XU Qing,CHEN Er-ming.A Note on Entropy Point in Multiply Dynamical System[J].Journal of Huaqiao University(Natural Science),2012,33(1):99-102.[doi:10.11830/ISSN.1000-5013.2012.01.0099]
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乘积系统中熵点的注记()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第33卷
期数:
2012年第1期
页码:
99-102
栏目:
出版日期:
2012-01-20

文章信息/Info

Title:
A Note on Entropy Point in Multiply Dynamical System
文章编号:
1000-5013(2012)01-0099-04
作者:
许清; 陈尔明
华侨大学数学科学学院
Author(s):
XU Qing;  CHEN Er-ming
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
拓扑熵;  熵点;  (n; ε)分离集合;  (n; ε)扩张集
Keywords:
topological entropy;  entropy point;  (n; ε)-seperated set;  (n; ε)-spanning set
分类号:
O189.1
DOI:
10.11830/ISSN.1000-5013.2012.01.0099
文献标志码:
A
摘要:
利用Bowen拓扑熵引入熵点的概念及性质,探讨n阶乘积动力系统中的Bowen拓扑熵,得出n阶乘积动力系统中熵点的性质及其构造.
Abstract:
In this paper,by the basis of the notions of entropy point firstly introduced by using Bowen′s definition of topolofical entropy and properties that discussed,the Bowen′s entropy of the product of dynamical system of order n has besn discussed.Some properties of the product of dynamical system of order n are obtained,and so its structure.

参考文献/References:

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[2] BLANCHARD F, HOST B, MAASS A. Entropy pairs for a measure [J]. Ergodic Theory and Dynamical Systems, 1995, (15):621-632.
[3] HUANG Wen, YE Xiang-dong. A local variational relation and applications [J]. Israel Journal of Mathematics, 2006(1):237-280.doi:10.1007/BF02777364.
[4] 叶向东, 黄文, 邵松. 拓扑动力系统概论 [M]. 北京:科学出版社, 2008.
[5] YE Xiang-dong, ZHANG Guo-hua. Entropy points and applications [J]. Transactions of the American Mathematical Society, 2007, (12):6167-6186.doi:10.1090/S0002-9947-07-04357-7.
[6] WALTERS P. An introduction to ergodic theory [M]. New York:springer-verlag, 1982.

更新日期/Last Update: 2014-03-23