| 可积Hamilton系统的拓扑分类理论研究进展 |
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| 引用本文： | 杨晓松.可积Hamilton系统的拓扑分类理论研究进展[J].重庆邮电学院学报(自然科学版),2000,12(4):40-43,61. |
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| 作者姓名： | 杨晓松 |
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| 作者单位： | 重庆邮电学院非线性系统研究所,重庆 |
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| 摘 要： | 简述了Ｈａｍｉｌｔｏｎ系统理论研究领域中的一个新分支－可积Ｈａｍｉｌｔｏｎ系统的拓扑分类理论的一个侧面，重点阐述了两个自由度Ｈａｍｉｌｔｏｎ系统能量面的拓扑对可积性的影响及其与稳定周期轨道的关系能主一些相关问题。
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| 关 键 词： | 可积Hamilton系统 拓扑等价 拓扑分类 |
Advance in the Theory of Topological Classification of Integrable Hamiltionian Systems |
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| YANG,Xiao,song.Advance in the Theory of Topological Classification of Integrable Hamiltionian Systems[J].Journal of Chongqing University of Posts and Telecommunications(Natural Sciences Edition),2000,12(4):40-43,61. |
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| Authors: | YANG Xiao song |
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| Abstract: | This article presents an informal introduction to the theory of topological classification of integrable Hamiltionian systems which is a new branch of the theory of Hamiltonian systems. The effect of the topology of isoenergy surface of Hamiltonian systems with two degrees of freedom on the integrability of the Hamiltonian systems and the relation between the topology and the existence of stable periodic orbits are mainly discussed. |
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| Keywords: | integrable Hamiltionian systems topological equivalence integrability periodic or4 |
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