| 广义Birkhoff系统的Poisson理论 |
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| 引用本文： | 梁景辉,李元成,梅凤翔.广义Birkhoff系统的Poisson理论[J].北京理工大学学报(英文版),2000,9(1):5-10. |
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| 作者姓名： | 梁景辉 李元成 梅凤翔 |
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| 作者单位： | 北京理工大学,应用力学系,北京,100081 |
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| 基金项目： | 国家自然科学基金，Doctoral Programme Foundation of Institution of Higher Education of China |
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| 摘 要： | 利用Lie代数和Poisson括号建立广义Birkhoff系统的Poisson定理 ,得到广义Birkhoff系统关于第一积分的广义Poisson条件 ,提出了广义Poisson定理 ,并举例说明结果的应用
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| 关 键 词： | 分析力学 广义Birkhoff系统 广义Poisson条件 广义Poisson定理 |
| 收稿时间： | 9/8/1999 12:00:00 AM |
Poisson Theory of Generalized Birkhoff Systems |
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| LIANG Jing-hui,LI Yuan-cheng and MEI Feng-xiang.Poisson Theory of Generalized Birkhoff Systems[J].Journal of Beijing Institute of Technology,2000,9(1):5-10. |
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| Authors: | LIANG Jing-hui LI Yuan-cheng and MEI Feng-xiang |
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| Affiliation: | Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081;Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081;Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081 |
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| Abstract: | To study the Poisson theory of the generalized Birkhoff systems, the Lie algebra and the Poisson brackets were used to establish the Poisson theorem. The generalized Poisson condition for the first integral and the generalized Poisson theorem of the generalized Birkhoff systems are obtained. An example is given to illustrate the application of the result. |
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| Keywords: | analytical mechanics generalized Birkhoff system generalized Poisson condition generalized Poisson theorem |
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