| 拓扑动力系统中轨道的a-熵集 |
| |
| 引用本文： | 邹成.拓扑动力系统中轨道的a-熵集[J].成都大学学报(自然科学版),2009,28(1):24-27. |
| |
| 作者姓名： | 邹成 |
| |
| 作者单位： | 四川化工职业技术学院,基础部,四川,泸州,646005 |
| |
| 摘 要： | （x，f）是紧的拓扑动力系统，一个点x∈叫α-熵点，如果h（f，-↑orbf（x））=α，则所有这样的点组成轨道的α-熵集Eα（X，f）．讨论了在同一个f下，拓扑空间（X，f）的熵、α-熵集Eα（X，f）的熵以及最大熵轨道的熵Suph（orbf（x），f），并提出两个尚待解决的问题。
|
| 关 键 词： | 轨道 传递点 a-熵集 拓扑熵 |
a -Entropy Sets of Obits in Topological Dynamical Systems |
| |
| ZOU Cheng.a -Entropy Sets of Obits in Topological Dynamical Systems[J].Journal of Chengdu University (Natural Science),2009,28(1):24-27. |
| |
| Authors: | ZOU Cheng |
| |
| Institution: | ZOU Cheng( Fundamental Department, Sichuan College of Chemical Technology, Luzhou 646005, China) |
| |
| Abstract: | Suppose （X,f） is a compact dynamical systems. A point x∈X is called a α- entropy point provided h（ orbf（x） ,f） = a. Let Eα（X,f） denote the set of all a - entropy point. It is a brand-new con- cept, 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 sup h （ orbf（ x ） ,f） equal？ In this paper, answer the question, and post other two question. |
| |
| Keywords: | obit transmit point a-entropy set topological entropy |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
