| Lagrange系统对称性的摄动与Hojman型绝热不变量 |
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| 引用本文： | 张毅,范存新,梅凤翔.Lagrange系统对称性的摄动与Hojman型绝热不变量[J].物理学报,2006,55(7):3237-3240. |
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| 作者姓名： | 张毅 范存新 梅凤翔 |
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| 作者单位： | (1)北京理工大学 力学系，北京 100081; (2)苏州科技学院土木工程系，苏州 215011 |
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| 基金项目： | 国家自然科学基金;江苏省高校自然科学基金 |
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| 摘 要： | 研究Lagrange系统对称性的摄动与绝热不变量.列出未受扰Lagrange系统的Lie对称性导致的Hojman守恒量；基于力学系统的高阶绝热不变量的定义，研究在小扰动作用下Lagrange系统Lie对称性的摄动，得到了系统的一类Hojman形式的绝热不变量.并举例说明结果的应用.
关键词：
Lagrange系统
对称性
摄动
绝热不变量
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| 关 键 词： | Lagrange系统 对称性 摄动 绝热不变量 |
| 文章编号： | 1000-3290/2006/55（07）/3237-04 |
| 收稿时间： | 10 27 2005 12:00AM |
| 修稿时间： | 2005-10-272005-11-05 |
Perturbation of symmetries and Hojman adiabatic invariants for Lagrangian system |
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| Zhang Yi,Fan Cun-Xin,Mei Feng-Xiang.Perturbation of symmetries and Hojman adiabatic invariants for Lagrangian system[J].Acta Physica Sinica,2006,55(7):3237-3240. |
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| Authors: | Zhang Yi Fan Cun-Xin Mei Feng-Xiang |
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| Institution: | 1 Department of Civil Engineering, University of Science and Technology of Suzhou, Suzhou 215011, China; 2 Department of Mechanics, Being Institute of Technology, Belting 100081, China |
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| Abstract: | The perturbation of symmetries and adiabatic invariants for Lagrangian system are studied. The exact invariants introduced by the Lie symmetries of Lagrangian system without perturbation are given. Based on the definition of high-order adiabatic invariants of a mechanical system, the perturbation of Lie symmetries for Lagrangian system with the action of small disturbance is investigated, and a type of Hojman adiabatic invariants of the system are obtained. An example is given to illustrate the application of the results. |
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| Keywords: | Lagrangian system symmetry perturbation adiabatic invariant |
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