| 二维有限亏格的可定向闭曲面上的拓扑传递性与度量传递性 |
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| 引用本文： | 刘晓斌,钟文勇.二维有限亏格的可定向闭曲面上的拓扑传递性与度量传递性[J].吉首大学学报(自然科学版),1999,20(4):21-23. |
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| 作者姓名： | 刘晓斌 钟文勇 |
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| 作者单位： | [1]广东商学院经济数学部,广州 [2]吉首大学数学与计算机科学系,湖南吉首 |
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| 摘 要： | 对于一个动力系统 ,当它是度量传递的时可以证明它是拓扑传递的 ,但是 ,它的反命题却不一定成立 在文 6 ]的基础上 ,对二维有限亏格的可定向闭曲面上的解析动力系统进行了分析 ,得到了其上的拓扑传递性与度量传递性是等价的结论
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| 关 键 词： | 度量传递性 拓扑传递性 常微解析系统 极限集 |
Topological Transitivity and Metric Transitivity in Closed Directed Two-dimensional Surface of Finite Genus |
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| LIU Xiao-bin,ZHONG Wen-yong.Topological Transitivity and Metric Transitivity in Closed Directed Two-dimensional Surface of Finite Genus[J].Journal of Jishou University(Natural Science Edition),1999,20(4):21-23. |
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| Authors: | LIU Xiao-bin ZHONG Wen-yong |
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| Abstract: | For a dynamical system ,it will be topological transitivity of it is metric transitivity.Morse conjectured that its converse was probably true in analytic system or system with some metric transitivity in ordinary differential analytic system in closed directed two-dimensional surface of finite genus by using the properties of the limited set. |
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| Keywords: | metric transitivity topological transitivity ordinary differential analytic system limited set |
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