| 有多余坐标的完整系统的Lie对称性与守恒量 |
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| 引用本文： | 梅凤翔.有多余坐标的完整系统的Lie对称性与守恒量[J].北京理工大学学报(英文版),1998,7(1):26-31. |
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| 作者姓名： | 梅凤翔 |
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| 作者单位： | 北京理工大学应用力学系 |
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| 基金项目： | 国家自然科学基金，高等学校博士学科点专项科研基金 |
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| 摘 要： | 研究有多余坐标的完整系统的Ｌｉｅ对称性与守恒量，方法利用常微分方程在无限小变换下的不变性，建立系统Ｌｉｅ对称性的确定方程和限制方程。结果与结论得到结构方程与守恒量形式，并举例说明结果的应用。
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| 关 键 词： | 分析力学 多余坐标 Lie对称性 守恒量 |
Lie Symmetries and Conserved Quantities of Holonomic Systems with Remainder Coordinates |
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| Mei Fengxiaing.Lie Symmetries and Conserved Quantities of Holonomic Systems with Remainder Coordinates[J].Journal of Beijing Institute of Technology,1998,7(1):26-31. |
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| Authors: | Mei Fengxiaing |
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| Affiliation: | Department of Applied Mechanics, beijing Institute of Technology, beijing 100081 |
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| Abstract: | Aim To study the Lie symmetries and the consered quantities of the holonomic systems with remainder coordinates. Methods Using the invariance of the ordinary differential equations under the infinitesimal transformations to establish the determining equations and the restriction equations of the Lie symmetries of the systems. Results and Conclusion the structure equation and the form of conserved quantities were obtained. An example was given to illustrate the application of the result. |
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| Keywords: | analytical mechanics remainder coordinate Lie symmetry conserved quantity |
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