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《Journal of Chengdu University(Natural Science Edition)》 2009-01
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a-Entropy Sets of Obits in Topological Dynamical Systems

ZOU Cheng(Fundamental Department,Sichuan College of Chemical Technology,Luzhou 646005,China)  
Suppose(X,f) is a compact dynamical systems.A point x∈X is called a a-entropy point provided h(orbf(x),f)=a.Let Ea(X,f) denote the set of all a-entropy point.It is a brand-new concept,and many properties were discussed.Naturally,one would like to ask the following questions:under f,are the topological entropy of(X,f),Ea(X,f) and the supx∈E h(orbf(x),f) equal?In this paper,answer the question,and post other two question.
【CateGory Index】: O189.1
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 LIN Yin-he1,2 (1.College of Mathematics and Physics,Lishui University,Lishui 323000,China;2.College of Mathematics and Computer Science,Chongqing Normal University,Chongqing 400047,China);Existence of the Asymptotic Periodic Point in the Topological Dynamics System[J];Journal of Hebei University(Natural Science Edition);2007-04
2 HAN Shu-zong~1 ,QIAO Fang-li~2,ZHU Da-yong~3,GUO Pei-fang~1(1. Ocean University of China, Qingdao 266003, China; 2.First Institute of Oceanography, SOA,Qingdao 266061,China;3. Second Institute Oceanography, SOA, Hangzhou 310012, China);Study of Wave Height Entropy Distribution Variabilitiesin the Pacific Ocean[J];Advances in Marine Science;2003-04
3 ZHU Yu-jun, ZHANG Jin-lian, ZHENG Hong-wen (College of Mathematics and Information Sciences,Hebei Normal University,Hebei Shijiazhuang 050016,China);Two Types of Shadowing for Symbolic Systems and Their Applications[J];;2004-02
4 QIU Hua1,WU Hua-ming2,WANG Huo-yun3(1.Department of Mathematics,South China Agricultural University,Guangzhou 510640,China;(2.School of Mathematics and Computational Science,Zhanjiang Normal College,Zhanjiang 524048,China;3.College of Mathematics and Infomation Sciences,Guangzhou University,Guangzhou 510006,China);Hausdorff Measure of Some Finite-type Subsets[J];Journal of Hubei Institute for Nationalities(Natural Science Edition);2008-01
5 RAN Hai-quan(College of Mathematics and Computer Science,Chongqing Normal University,Chongqing 400047,China);Notes about Eventually Periodic Point Set in Metric Space[J];Journal of Hubei University for Nationalities(Natural Science Edition);2010-01
6 Yue Zhongliang You Lei(Guangdong Ocean University);DYNAMIC PROGRAMMING ALGORITHM OF m-DIMENSIONAL BOTTLENECK ASSIGNMENT PROBLEM BASED ON ENTROPY[J];Natural Science Journal of Harbin Normal University;2006-03
7 ZHU Ye ming 1, QIAO Zong min 2 (1.The Editorial House of Anhui University, Hefei 230039, China; 2.Dept. of Mathematics, Anhui Education College, Hefei 230061, China);Some sufficient and necessary conditions of the tree map with zero entropy[J];Journal of Hefei University of Technology(Natural Science);2002-02
8 YAN Bing-gang(Dept.of Mathematies and Computer Science,Chongqing Normal University,Chongqing 400047,China);The chaotic set and asymptotic periodic point of descendible mapping[J];Journal of Hebei University of Engineering(Natural Science Edition);2007-03
9 ZHANG Ai-fang (Department of Mathematics,Northwest University,Xi'an 710127,China);On partly topological weak mixing and sensitive dependence on initial conditions[J];Journal of Natural Science of Heilongjiang University;2011-01
10 MENG Xin1,GUO Jia2 (1.Department of Mathematics,Jilin Normal University,Siping 136000,China;2.Library of Jilin Normal University,Siping 136000,China);Research on maps of topological chain ergodicity[J];Journal of Natural Science of Heilongjiang University;2012-02
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1 Liao Gongfu (Department of Mathematics, Jilin University);MAPS OF CLOSED INTERVAL WITH PRIME PERIODIC POINTS[J];Journal of Jilin University;1983-03
2 Liao Gongfu (Department of Mathematics, Jilin University);EXISTENCE OF PRIME PERIODIC POINT FOR SELF-MAPS OF AN INTERVAL[J];Journal of Jilin University;1985-03
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