| Equivalent Conditions of Dominated Splitting for Volume-Preserving Diffeomorphisms |
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| 引用本文： | Chao LIANG Geng LIU Wen Xiang SUN. Equivalent Conditions of Dominated Splitting for Volume-Preserving Diffeomorphisms[J]. 数学学报(英文版), 2007, 23(9): 1563-1576. DOI: 10.1007/s10114-005-0889-6 |
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| 作者姓名： | Chao LIANG Geng LIU Wen Xiang SUN |
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| 作者单位： | [1]Applied Mathematical Department, The Central University of Finance and Economics ~ School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China [2]School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China [3]LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China |
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| 基金项目： | Sun is supported by National Natural Science Foundation （# 10231020, 10171004） and Doctoral Education Foundation of China |
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| 摘 要： |
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| 关 键 词： | 当量条件 微分同胚映射 容积 数学问题 |
| 收稿时间： | 2005-03-04 |
| 修稿时间： | 2005-03-04 |
Equivalent Conditions of Dominated Splitting for Volume-Preserving Diffeomorphisms |
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| Chao Liang,Geng Liu,Wen Xiang Sun. Equivalent Conditions of Dominated Splitting for Volume-Preserving Diffeomorphisms[J]. Acta Mathematica Sinica(English Series), 2007, 23(9): 1563-1576. DOI: 10.1007/s10114-005-0889-6 |
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| Authors: | Chao Liang Geng Liu Wen Xiang Sun |
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| Affiliation: | (1) Applied Mathematical Department, The Central University of Finance and Economics & School of Mathematical Sciences, Peking University, Beijing, 100871, P. R. China;(2) School of Mathematical Sciences, Peking University, Beijing, 100871, P. R. China;(3) LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, P. R. China |
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| Abstract: | We discuss the equivalent conditions of dominated splitting for conservative diffeomorphisms in C^1 topology. |
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| Keywords: | Homoclinic tangency preperiodic point dominated splitting volume-preserving diffeo- morphism |
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