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  

Lie Symmetries and Conserved Quantities of Nonholonomic Systems of Variable Mass of Non-chetaev's Type with Unilateral Constraints in Phase Space

作　　者：梁景辉[1] 乔磊[1] 雷惠方[1] 贾石海[1] 

机构地区：[1]山西师范大学物理与信息工程学院,山西临汾041004

出　　处：《江西科学》2010年第3期285-288,共4页Jiangxi Science

基　　金：山西省自然科学基金项目(20031008)

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。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.

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 

分 类 号：O316[理学—一般力学与力学基础]