| 相空间中非完整系统的Lie对称性与守恒量 |
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| 引用本文： | 粱景辉,李元成.相空间中非完整系统的Lie对称性与守恒量[J].河南科学,2000,18(1):9-14. |
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| 作者姓名： | 粱景辉 李元成 |
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| 作者单位： | 1. 山西师范大学物理系,山西临汾,041004
2. 石油大学应用物理系,山东东营,257062 |
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| 基金项目： | 高等学校博士学科点专项科研项目，， |
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| 摘 要： | 研究相空间中非完整系统的Lie对称性与守恒量。首先利用微分方程在无限小变换下的不变性建立Lie对称所满足的确定方程和限制方程 ,给出了结构方程和守恒量 ;其次讨论了系统Lie对称的逆问题 ;最后举例说明结果的应用
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| 关 键 词： | 分析力学 相空间 非完整系统 Lie对称性 守恒量 |
| 文章编号： | 1004-3918(2000)01-0009-06 |
Lie Symmetries and Conserved Qyantities of Nonholonomic Systems in Phase Space |
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| LIANG Jing-hui,LI Yuan-cheng.Lie Symmetries and Conserved Qyantities of Nonholonomic Systems in Phase Space[J].Henan Science,2000,18(1):9-14. |
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| Authors: | LIANG Jing-hui LI Yuan-cheng |
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| Abstract: | This paper studies Lie symmetries and conserved quantities of nonholonomic systems in phase space. Firstly, it establishes the determining equations and the restrtiction equations of the Lie symmetries of the systems and it gives the structure equations and the conserved quantities, which are using the invariance of the ordinary differential equations under the infinitesimal transformations; secondly, it studies the inverse problem of Lie symmetries of the systems;Finally, itgives an example to illustrate the application of the result. |
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| Keywords: | analytical mechanics phase space nonholonomic system Lie symmetry conserved quantity |
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