| 树映射的分布混沌 |
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| 引用本文： | 孙太祥. 树映射的分布混沌[J]. 数学年刊A辑(中文版), 2006, 0(5) |
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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 |
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| 基金项目： | 国家自然科学基金(No．10461001，No．10361001)，广西自然科学基金(No．0640205)资助的项目 |
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| 摘 要： | 设T是个有限树,f是T上的连续映射．证明了f是分布混沌的当且仅当它的拓扑熵是正数．一些已知结论得到了改进．
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| 关 键 词： | 树映射 分布混沌 拓扑熵 |
Distributional Chaos of a Tree Map |
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| SUN Taixiang. Distributional Chaos of a Tree Map[J]. Chinese Annals of Mathematics, 2006, 0(5) |
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| Authors: | SUN Taixiang |
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| Affiliation: | SUN Taixiang~* *Department of Mathematics,Guangxi University,Nanning 530004,China. |
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| Abstract: | Let T be a finite tree and f be a continuous map from T to T.This paper shows that f is distributionally chaotic if and only if its topological entropy is positive.Some known results are improved. |
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| Keywords: | Tree map Distributional chaos Topological entropy |
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