| 树映射的单侧γ-极限点集与拓扑熵 |
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| 引用本文： | 孙太祥. 树映射的单侧γ-极限点集与拓扑熵[J]. 数学进展, 2004, 33(1): 57-66 |
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| 作者姓名： | 孙太祥 |
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| 作者单位： | 广西大学数学系,南宁,广西,530004;汕头大学数学所,汕头,广东,515063 |
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| 基金项目： | 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. |
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| 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．
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| 关 键 词： | 树映射 单侧γ-极限点集 拓扑熵 吸引中心 强非混沌 |
| 文章编号： | 1000-0917(2004)01-0057-10 |
| 修稿时间： | 2000-11-08 |
The Set of Unilateral γ-limit Points and the Topological Entropy of a Tree Map |
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| SUN Tai-xiang. The Set of Unilateral γ-limit Points and the Topological Entropy of a Tree Map[J]. Advances in Mathematics(China), 2004, 33(1): 57-66 |
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| Authors: | SUN Tai-xiang |
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| Abstract: | 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. |
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| Keywords: | tree map unilateral 7-limit point topological entropy strongly not-chaos piecewise monotone tree map |
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