| 相空间中非Chetaev型非完整系统的Lie对称性与守恒量 |
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| 引用本文： | 梁景辉,李元成. 相空间中非Chetaev型非完整系统的Lie对称性与守恒量[J]. 新疆大学学报(理工版), 2000, 17(2): 52-57 |
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| 作者姓名： | 梁景辉 李元成 |
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| 作者单位： | [1]山西师范大学物理系 [2]石油大学应用物理系 |
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| 基金项目： | 高校博士学科点专项基金资助课题 |
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| 摘 要： | 研究相空间中非Ｃｈｅｔａｅｖ型非完整系统的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的限制方程,给出了结构方程和守恒量;其次研究系统的Ｌｉｅ对称逆问题;最后举例说明结构的应用。
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| 关 键 词： | 分析力学 相空间 非完整系统 Lie对称性 守恒星 |
Lie Symmetries and Conserved Quantities of Nonholonomic Systems of Non-Chetaev's Type in Phase Space |
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| LIANG Jing-hui,LI Yuan-cheng. Lie Symmetries and Conserved Quantities of Nonholonomic Systems of Non-Chetaev's Type in Phase Space[J]. Journal of Xinjiang University(Science & Engineering), 2000, 17(2): 52-57 |
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| Authors: | LIANG Jing-hui LI Yuan-cheng |
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| Abstract: | Lie symmetries and conserved quantities of nonholonomic systems of non Chetaev's type in phase space is studied in the paper.Firstly,the determining equations and the restriction equations of the Lie symmetries of the systems is establised.Te structure equations and the conserved euantities is given.Which are using the invariance of the ordinary differential equations under the infinitesimlal transformations.Secondly,the inverse problem of Lie symmetries of the systems is studied.finally,an example to illustrate the application of the result is given. |
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| Keywords: | analytical mechanics phase space nonholonomic system Lie symmetry Conserved euantity |
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