| 相空间中变质量单面非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,乔磊,雷惠方,贾石海.相空间中变质量单面非Chetaev型非完整系统的Lie对称性与守恒量[J].江西科学,2010,28(3):285-288. |
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| 作者姓名： | 梁景辉 乔磊 雷惠方 贾石海 |
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| 作者单位： | 山西师范大学物理与信息工程学院,山西,临汾,041004 |
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| 基金项目： | 山西省自然科学基金项目 |
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| 摘 要： | 研究相空间中变质量单面非Chetaev型非完整系统的Lie对称性与守恒量。首先根据微分方程在无限小变换下的不变性建立Lie对称性所满足的确定方程和限制方程,给出结构方程和守恒量;其次讨论系统的Lie对称性逆问题;最后举一实例说明结果的应用。
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| 关 键 词： | 分析力学 相空间 变质量 单面约束 非完整系统 Lie对称性 守恒量 |
Lie Symmetries and Conserved Quantities of Nonholonomic Systems of Variable Mass of Non-chetaev's Type with Unilateral Constraints in Phase Space |
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| LIANG Jing-hui,QIAO Lei,LEI Hui-fang,JIA Shi-hai.Lie Symmetries and Conserved Quantities of Nonholonomic Systems of Variable Mass of Non-chetaev's Type with Unilateral Constraints in Phase Space[J].Jiangxi Science,2010,28(3):285-288. |
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| Authors: | LIANG Jing-hui QIAO Lei LEI Hui-fang JIA Shi-hai |
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| Institution: | (College of Physics and Electronic Information of Shanxi Normal University,Shanxi Linfen 041004 PRC) |
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| Abstract: | This paper studies Lie symmetries and conserved quantities of nonholonomic systems of variable mass of nonchetaev＇s type with unilateral constraints in phase space.Firstly,it establishes the determining equations and the restriction equations of the Lie symmetries of the systems and it gives the structure equations and the conserved euantities,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,it gives an example to illustrate the application of the result. |
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| Keywords: | Analytical mechanics Phase space Variable mass Unilateral constraint Non-holonomic system Lie symmetry Conserved quantity |
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