| 树映射的链等价集与拓扑熵 |
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| 引用本文： | 孙太祥,席鸿建,张晓燕.树映射的链等价集与拓扑熵[J].数学年刊A辑(中文版),2005(1). |
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| 作者姓名： | 孙太祥 席鸿建 张晓燕 |
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| 作者单位： | 广西大学数学系，广西大学数学系，广西大学数学系 南宁 530004 中国科技大学数学系，合肥 230026，南宁 530004，南宁 530004 |
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| 基金项目： | 国家自然科学基金(No.10361001,No.10461001)
广西自然科学基金(No.0447004)
广西高校百名中青年学科带头人计划资助的项目. |
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| 摘 要： | 本文讨论了树映射f的链等价集的性质,得到了f具有零拓扑熵的几个等价条件,并证明了:如果 f的一个链等价集是个无限集,那么这个链等价集的任何孤立点都是f的非周期的终于周期点.
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| 关 键 词： | 树映射 链等价集 拓扑熵 |
THE SET OF CHAIN EQUIVALENT POINTS AND TOPOLOGICAL ENTROPY OF A TREE MAP |
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| SUN Taixiang XI Hongjian ZHANG Xiaoyan.THE SET OF CHAIN EQUIVALENT POINTS AND TOPOLOGICAL ENTROPY OF A TREE MAP[J].Chinese Annals of Mathematics,2005(1). |
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| Authors: | SUN Taixiang XI Hongjian ZHANG Xiaoyan |
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| Institution: | SUN Taixiang XI Hongjian ZHANG XiaoyanDepartment of Mathematics,Guangxi University,Nanning 530004,China, Department of Mathematics,University of Science and Technology of China,Hefei 230026,China. Department of Mathematics,Guangxi University,Nanning 530004,China. |
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| Abstract: | This paper discusses the character of the set of chain equivalent points of a tree map f, and obtains several equivalent conditions of f with zero topological entropy and prove that if a set of chain equivalent points of f is infinite, then its any isolated point is an eventually periodic point but not periodic point of f. |
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| Keywords: | Tree map The set of chain equivalent points Topological entropy |
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