| 方程的形式不变性 |
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| 引用本文： | 王树勇,梅凤翔.方程的形式不变性[J].北京理工大学学报(英文版),2002,11(3):329-331. |
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| 作者姓名： | 王树勇 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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| 摘 要： | 研究完整系统Routh方程的形式不变性.给出在无限小变换下Routh方程的形式不变性的定义和判据,讨论了形式不变性与Noether对称性以及Lie对称性的关系.
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| 关 键 词： | 分析力学 形式不变性 Noether对称性 Lie对称性 |
| 收稿时间： | 2001/5/25 0:00:00 |
Form Invariance of Routh Equations |
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| WANG Shu yong and MEI Feng xiang.Form Invariance of Routh Equations[J].Journal of Beijing Institute of Technology,2002,11(3):329-331. |
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| Authors: | WANG Shu yong and MEI Feng xiang |
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| Affiliation: | Department of Applied Mechanics, Beijing Institute of Technology, Beijing100081, China;Department of Applied Mechanics, Beijing Institute of Technology, Beijing100081, China |
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| Abstract: | The form invariance of Routh equations in holonomic systems is studied. The definition and criterion for the form invariance under the infinitesimal transformations are given. The relation of the form invariance with the Noether symmetry and the Lie symmetry is discussed. |
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| Keywords: | analytical mechanics form invariance Noether symmetry Lie symmetry |
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