| 连续映射的紧致系统的拓扑熵 |
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| 引用本文： | 陈燕芬.连续映射的紧致系统的拓扑熵[J].重庆师范大学学报(自然科学版),2004,21(4):7-9. |
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| 作者姓名： | 陈燕芬 |
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| 作者单位： | 韩山师范学院,数学与信息技术学院,广东,潮州,521041 |
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| 摘 要： | 证明了在一般的紧致度量空间上,等距映射的系统,压缩映射的系统,单位圆上的自同胚映射的系统等的拓扑熵都为零,而可扩映射的系统有正的拓扑熵.
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| 关 键 词： | 连续映射 紧致系统 可扩映射 拓扑熵 |
| 文章编号： | 1672-6693(2004)04-0007-03 |
| 修稿时间： | 2004年5月8日 |
Toppological Entropy of Compact Dynamical System for Continuous Mappings |
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| CHEN Yan-fen.Toppological Entropy of Compact Dynamical System for Continuous Mappings[J].Journal of Chongqing Normal University:Natural Science Edition,2004,21(4):7-9. |
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| Authors: | CHEN Yan-fen |
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| Abstract: | We prove in this paper that topological entropy is zero,in systems of equivariant mapping,that systems of compression mapping,and systems of the homeomorphism of unit circle onto itself,while the toppological entropy is positive,that extensible mapping in the compact toppological metric space. |
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| Keywords: | continuous mapping Systems of conpression extensible of mapping toppological entropy |
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