树映射的单侧γ-极限点集与拓扑熵  

The Set of Unilateral 7-limit Points and the Topological Entropy of a Tree Map

作　　者：孙太祥[1] 

机构地区：[1]广西大学数学系

出　　处：《数学进展》2004年第1期57-66,共10页Advances in Mathematics（China）

基　　金：国家自然科学基金(10361001);广西科学基金(0135027);广西高校百名中青年学科带头人资助项目.

摘　　要：本文讨论了树映射的单侧γ-极限点集与吸引中心的关系,得到了树映射具有正拓扑熵的几个等价条件.此外,还得到了树映射是强非混沌以及逐片单调树映射的拓扑熵为零的几个等价条件.In the present paper we discuss the relation between the set of unilateral 7-limit points and the attracting centre of a tree map, and obtain a few equivalent conditions which a tree map has positive topological entropy. Furthermore, we also obtain a few equivalent conditions which a tree map is strongly not-chaotic and a few equivalent conditions which a piecewise monotone tree map has topological entropy zero.

关 键 词：树映射 单侧γ-极限点集 拓扑熵 吸引中心 强非混沌 

分 类 号：O189.11[理学—数学]