| 树映射的若干动力性质研究 |
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| 引用本文： | 朱夜明,乔宗敏. 树映射的若干动力性质研究[J]. 安徽师范大学学报(自然科学版), 2002, 25(1): 11-13. DOI: 10.3969/j.issn.1001-2443.2002.01.003 |
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| 作者姓名： | 朱夜明 乔宗敏 |
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| 作者单位： | 1. 安徽大学学报编辑部,安徽,合肥,230039;2. 安徽教育学院,数学系,安徽,合肥,230061 |
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| 摘 要： | 讨论了周期点为闭集的树映射的特征,连续树映射的混沌集与不变概率测度的关系,以及树映射拓扑熵为零的几个必要条件,所得结论推广了区间上的相应结果.
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| 关 键 词： | 树映射 周期点集 混沌集 |
| 文章编号： | 1001-2443(2002)01-0011-03 |
| 修稿时间： | 2001-08-01 |
SOME DYNAMICAL PROPERTIES OF TREE MAP |
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| ZHU Ye-ming ,QIAO Zong-min. SOME DYNAMICAL PROPERTIES OF TREE MAP[J]. Journal of Anhui Normal University(Natural Science Edition), 2002, 25(1): 11-13. DOI: 10.3969/j.issn.1001-2443.2002.01.003 |
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| Authors: | ZHU Ye-ming QIAO Zong-min |
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| Affiliation: | ZHU Ye-ming 1,QIAO Zong-min 2 |
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| Abstract: | In this paper, we concern three problems: the character of tree map whose periodic points form a closed set; some necessary conditions of tree map with zero topological entropy; and the relations between chaotic map set and invariant measure. These results extent the conclusion on interval. |
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| Keywords: | tree map periodic points set chaotic set |
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