| 区间映射的链回归点的可链点集 |
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| 引用本文： | 徐胜荣,孙太祥.区间映射的链回归点的可链点集[J].高校应用数学学报(A辑),2007,22(3):371-378. |
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| 作者姓名： | 徐胜荣 孙太祥 |
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| 作者单位： | 1. 广西大学,数学与信息科学学院,广西南宁,530004;山东农业大学,信息科学与工程学院,山东泰安,271018
2. 广西大学,数学与信息科学学院,广西南宁,530004 |
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| 基金项目： | 国家自然科学基金
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广西科学基金 |
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| 摘 要： | 主要讨论区间映射的链回归点的可链点集与链等价集的关系,证明了:若区间映射的拓扑熵是零,则它的链回归点的可链点集与链等价集相等.此外还得到了区间映射有正拓扑熵的几个等价条件.
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| 关 键 词： | 区间映射 可链点集 链等价集 拓扑熵 |
| 文章编号： | 1000-4424（2007）03-0371-08 |
| 收稿时间： | 2004-05-21 |
| 修稿时间： | 2004-05-21 |
Set of chainable points of chain recurrent points of an interval map |
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| XU Sheng-rong,SUN Tai-xiang.Set of chainable points of chain recurrent points of an interval map[J].Applied Mathematics A Journal of Chinese Universities,2007,22(3):371-378. |
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| Authors: | XU Sheng-rong SUN Tai-xiang |
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| Institution: | 1. College of Mathematics and Information Science,Guangxi University,Nanning 530004,China; 2. College of Information Science and Engineering,Shandong Agricultural Univerisity, Taian 271018,China |
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| Abstract: | This paper studies mainly the relation between the set of chainable points and the set of chain equivalent points for the chain recurrent points of an interval map,and obtains that the set of chainable points and the set of chain equivalent points for recurrent points of an interval map are in equivalence if the map has zero topological entropy. Besides,the paper gets also several equivalent conditions for an interval map with positive topological entropy. |
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| Keywords: | interval map set of chainable points set of chain equivalent points topological entropy |
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