| Anosov映射分形图计算机构造算法 |
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| 引用本文： | 王琰,朱伟勇.Anosov映射分形图计算机构造算法[J].工程图学学报,1999(2):41-45. |
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| 作者姓名： | 王琰 朱伟勇 |
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| 作者单位： | [1]东北大学信息科学与工程学院 [2]东北大学计算中心 |
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| 基金项目： | 国家教委博士点基金!97014510，辽宁省自然科学基金!962177 |
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| 摘 要： | 在计算机上构造出环面Ｔ的Ｍａｒｋｏｖ分解，在单元正方形Ｓ上生成了Ａｎｏｓｏｖ映射（ＬＡ）的高次动力性态。依据映射π将Ｓ上高次ＬＡ＾ｎ（Ｒ）扭结到环面Ｔ上，构造出三维空间中ＬＡ的分形图。此算法可以在Ｓ上、Ｔ上生成任意次的ＬＡ＾ｎ（Ｒ）轨道。
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| 关 键 词： | Anosov映射 Markov分解 计算机构造 分形图 |
A Computer Algorithm of Constructing Fractal Graph of Anosov Mapping |
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| Wang Yan,Zhu Weiyong.A Computer Algorithm of Constructing Fractal Graph of Anosov Mapping[J].Journal of Engineering Graphics,1999(2):41-45. |
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| Authors: | Wang Yan Zhu Weiyong |
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| Affiliation: | Northeastem University |
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| Abstract: | Markov decomposition was constructed and higher-order dynamic character of Anosov mapping on the unit squre S was given with computer.Then the L: (R) of S was knotted onto the tour T with mapping . So the fractal graph of L;(R) in 3 dimenssions scape was constructed. Any-order orbit of L; (R) on S or T can be got with the algorithm. |
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| Keywords: | Anosov mapping Markov decomposition computer construct |
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