| 具p：-q共振奇点的Hamiltonian系统的线性化 |
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| 引用本文： | 许秋瑾,李伟伟,王书讲.具p：-q共振奇点的Hamiltonian系统的线性化[J].商丘师范学院学报,2010,26(3):14-17. |
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| 作者姓名： | 许秋瑾 李伟伟 王书讲 |
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| 作者单位： | 桂林电子科技大学数学,与计算科学学院,广西,桂林,541004 |
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| 基金项目： | 国家自然科学基金，广西高校人才资助计划项目 |
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| 摘 要： | 研究了二次和三次齐次Hamiltonian系统的1:-2共振奇点的可线性化问题,并利用计算机代数系统求出原点作为鞍点的1:-2型系统可积性与可线性化的必要条件,得出系统可线性化的条件.
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| 关 键 词： | Hamiltonian系统 可积性 可线性 |
Linearizable conditions for Hamiltonian systems with p:-q resonant singular point |
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| XU Qiujin,LI Weiwei,WANG Shujiang.Linearizable conditions for Hamiltonian systems with p:-q resonant singular point[J].Journal of Shangqiu Teachers College,2010,26(3):14-17. |
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| Authors: | XU Qiujin LI Weiwei WANG Shujiang |
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| Institution: | XU Qiujin,LI Weiwei,WANG Shujiang(Department of Computing Science , Mathematics of Guilin University of Electronic Technology,Guilin 541004,China) |
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| Abstract: | In this article,Linearizable conditions for secondary and three homogeneous Hamiltonian systems with 1:-2 resonant singular point are studied.Then following the computer algebra system,the sufficient conditions are proved,namely we obtains all integrable conditions and linearzable conditions for the system. |
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| Keywords: | Hamiltonian system integrable conditions linearzable conditions |
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