摘要
(X,f)是紧的拓扑动力系统,一个点x∈X叫a-熵点,如果h(f,orbf(x))=a,则所有这样的点组成轨道的a-熵集Ea(X,f).讨论了在同一个f下,拓扑空间(X,f)的熵、a-熵集Ea(X,f)的熵以及最大熵轨道的熵Supx∈Eh(orbf(x),f),并提出两个尚待解决的问题.
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.
出处
《成都大学学报（自然科学版）》
2009年第1期24-27,共4页
Journal of Chengdu University（Natural Science Edition）
关键词
轨道
传递点
a-熵集
拓扑熵
obit
transmit point
α- entropy set
topological entropy
