| 映射的拓朴熵密度及其性质 |
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| 引用本文： | 李明军,梁华清,杨军强.映射的拓朴熵密度及其性质[J].湘潭大学自然科学学报,2007,29(2):1-5. |
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| 作者姓名： | 李明军 梁华清 杨军强 |
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| 作者单位： | 1. 同志社大学工学部,流体工学山口实验室,日本,京都;湘潭大学数学与计算科学学院,湖南,湘潭,411105
2. 湘潭大学数学与计算科学学院,湖南,湘潭,411105 |
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| 摘 要： | 在度量空间上,对于拓朴熵为无穷大的映射补充定义拓朴熵密度.相应地,得到拓朴熵密度密度的几个计算方法.同时,对于逆图象拓朴熵无穷大的映射,补充定义逆图象拓朴熵密度,一些已知的拓朴熵为无穷大拓朴熵无穷大的映射,可以给出有限的拓朴熵密度.
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| 关 键 词： | 拓朴熵密度 逆图象拓朴熵密度 点熵密度 |
| 文章编号： | 1000-5900（2007）02-0001-05 |
| 修稿时间： | 2006-12-10 |
On Topological Entropy Density of Maps and its Property |
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| LI Ming - jun,IdANG Hua - qing,YANG Jun - qiang.On Topological Entropy Density of Maps and its Property[J].Natural Science Journal of Xiangtan University,2007,29(2):1-5. |
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| Authors: | LI Ming - jun IdANG Hua - qing YANG Jun - qiang |
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| Institution: | 1. Faculty of Mechanical Engineering, Doshisha University, 1 - 3 Tatara - MiyakodaniKyo - Tanabeshi, 610 - 03 Kyoto, Japan; 2. School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105 China |
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| Abstract: | For a map of compact metric space,topological entropy density is defined for infinite topological entropy.Accordingly,the formulation of topological entropy density is gained.The inverse image entropy density is defined for infinite inverse image topologicalentropy,the formulation of topological entropy density is also gained for inverse image topological entropy density.Some known results are corollary of our works.This method opens a door to study two maps with infinite topological entropy but with finite topological entropy densities. |
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| Keywords: | Topological entropy density inverse image entropy density point entropy density |
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