| 构造Birkhoff表示的广义Hojman方法 |
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| 引用本文： | 崔金超,赵喆,郭永新*. 构造Birkhoff表示的广义Hojman方法[J]. 物理学报, 2013, 62(9): 90205-090205. DOI: 10.7498/aps.62.090205 |
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| 作者姓名： | 崔金超 赵喆 郭永新* |
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| 作者单位： | 1. 北京理工大学宇航学院, 北京 100081;2. 沈阳药科大学医疗器械学院, 沈阳 110016;3. 辽宁大学物理学院, 沈阳 110036 |
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| 摘 要： | 研究第一积分、Hojman方法及Birkhoff方程之间的内在联系. Hojman方法构造的Birkhoff函数(组)满足的一个特定关系, 对此关系加以分析得到更为一般的广义Hojman方法. 再将此关系与Birkhoff方程相结合, 导出Birkhoff系统Hojman意义下的循环积分. 举例说明结论的应用.关键词：Birkhoff系统Hojman方法广义Hojman方法循环积分
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| 关 键 词： | Birkhoff系统 Hojman方法 广义Hojman方法 循环积分 |
| 收稿时间： | 2012-12-03 |
General Hojman's method for the construction of Birkhoffian representation |
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| Cui Jin-Chao,Zhao Zhe,Guo Yong-Xin. General Hojman's method for the construction of Birkhoffian representation[J]. Acta Physica Sinica, 2013, 62(9): 90205-090205. DOI: 10.7498/aps.62.090205 |
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| Authors: | Cui Jin-Chao Zhao Zhe Guo Yong-Xin |
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| Abstract: | We have investigated the internal relation among the first integral, Hojman's method and Birkhoff's equations. There is a special equivalent relationship between Birkhoffian and Birkhoffian functions constructed by Hojman's method, and from this we can derive a more general form of Hojman's method. Then, combining the special equivalent relationship and Birkhoff's equations, we can derive the cyclic integral in Birkhoffian sense. An example is given to illustrate the application of the results.
Keywords：Birkhoffian systemsHojman's methodGeneral Hojman's methodcyclic integral |
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| Keywords: | Birkhoffian systems Hojman’s method General Hojman’s method cyclic integral |
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