| 混沌群作用 |
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| 引用本文： | 史恩慧,周丽珍,周友成. 混沌群作用[J]. 高校应用数学学报(英文版), 2003, 18(1): 59-63. DOI: 10.1007/s11766-003-0084-4 |
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| 作者姓名： | 史恩慧 周丽珍 周友成 |
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| 作者单位： | Shi Enhui 1 Zhou Lizhen 2 Zhou Youcheng 21 Dept. of Math.，Zhejiang Univ.，Hangzhou 310027，China.2 Dept.of Math.，Suzhou Univ.，Suzhou 215006，China. |
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| 基金项目： | theNationalNaturalScienceFoundationofChina (10 0 710 69) . |
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| 摘 要： | § 1 ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｉｓｐａｐｅｒｉｓｔｈｅｓｅｑｕｅｌｔｏ[1 ,2 ].Ｃａｉｒｎｓｅｔａｌ.[1] ｉｎｔｒｏｄｕｃｅｄｔｈｅｎｏｔｉｏｎｏｆａｃｈａｏｔｉｃｇｒｏｕｐａｃｔｉｏｎａｓａｇｅｎｅｒａｌｉｚａｔｉｏｎｏｆｃｈａｏｔｉｃｄｙｎａｍｉｃａｌｓｙｓｔｅｍｓ(ｓｅｅｄｅｆｉｎｉｔｉｏｎｂｅｌｏｗ) .Ｔｈｅｙｓｈｏｗｅｄｔｈａｔｔｈｅｃｉｒｃｌｅｄｏｅｓｎｏｔａｄｍｉｔａｃｈａｏｔｉｃａｃｔｉｏｎｏｆａｎｙｇｒｏｕｐ ,ａｎｄｃｏｎｓｔｒｕｃｔｅｄａｃｈａｏｔｉｃａｃｔｉｏｎｏｆＧ =Ｚ×…
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| 收稿时间： | 2002-03-25 |
Chaotic group actions |
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| Shi Enhui,Zhou Lizhen,Zhou Youcheng. Chaotic group actions[J]. Applied Mathematics A Journal of Chinese Universities, 2003, 18(1): 59-63. DOI: 10.1007/s11766-003-0084-4 |
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| Authors: | Shi Enhui Zhou Lizhen Zhou Youcheng |
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| Affiliation: | (1) Dept. of Math., Zhejiang Univ., 310027 Hangzhou, China;(2) Dept. of Math., Suzhou Univ., 215006 Suzhou, China |
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| Abstract: | It is proved that there is no chaotic group actions on any topological space with free arc. In this paper the chaotic actions of the group like G × F, where F is a finite group, are studied. In particular, under a suitable assumption, if F is a cyclic group, then the topological space which admits a chaotic action of Z × F must admit a chaotic homeomorphism. A topological space which admits a chaotic group action but admits no chaotic homeomorphism is constructed. Supported by the National Natural Science Foundation of China (10071069). |
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| Keywords: | group actions chaos topological transitivity. |
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