相空间中非完整系统的Lie对称性与守恒量  

Lie Symmetries and Conserved Qyantities of Nonholonomic Systems in Phase Space

作　　者：粱景辉 李元成[2] 

机构地区：[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

出　　处：《河南科学》2000年第1期9-14,共6页Henan Science

基　　金：高校博士学科点专项基金资助课题

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 ;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.

关 键 词：分析力学 相空间 非完整系统 守恒量 李对称性 

分 类 号：O316[理学—一般力学与力学基础]