| 区间上混沌映射的差别 |
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| 引用本文： | 耿祥义.区间上混沌映射的差别[J].中国科学技术大学学报,1999,29(4):500-504. |
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| 作者姓名： | 耿祥义 |
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| 作者单位： | 大连铁道学院计算机系 |
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| 摘 要： | 对于一个混沌的区间自映射ｆ 的每个不规则集 Ｓ，相应地有一个集合 Ｖ Ｓ 与之对应．假如ｆ 的拓扑熵为零，那么对ｆ 的任意一个不规则集 Ｓ， Ｖ Ｓ 是一个可数集合；假如ｆ 的拓扑熵大于零，那么至少存在一个ｆ 的不规则集 Ｓ使得 Ｖ Ｓ 是一个不可数集合
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| 关 键 词： | 混沌 区间自映射 不规则集 拓扑熵 |
The Differences on Interval Chaotic Map |
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| GENG Xiangyi.The Differences on Interval Chaotic Map[J].Journal of University of Science and Technology of China,1999,29(4):500-504. |
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| Authors: | GENG Xiangyi |
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| Institution: | Computer Department of Dalian Railway Institute |
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| Abstract: | For every scrambled set S of a chaotic map f of the closed interval into itself, we associate a set V S. It is shown that if the topological entropy of f is zero, then V S is a countable set for any scrambled set S of f, and if the topological entropy of f is positive, then there exists at least a scrambled set S of f such that the V S is an uncountable set. |
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| Keywords: | Yunnan Rupture length Empirical formula |
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