相空间中二阶非完整力学系统的Lie对称性与守恒量  

Lie symmetries and conserved quantities of second-order nonholomic mechanical system in phase place

作　　者：陈培胜[1] 方建会[1] 

机构地区：[1]石油大学应用物理系,山东东营257061

出　　处：《商丘师范学院学报》2004年第5期14-17,共4页Journal of Shangqiu Normal University

摘　　要：研究相空间中二阶非完整力学系统的Lie对称与守恒量.首先利用系统运动微分方程在无限小变换下的不变性建立Lie对称的确定方程和限制方程,得到Lie对称的结构方程和守恒量;其次研究上述问题的逆问题;最后举例说明结果的应用.In this article,the Lie symmetries and Conserved Quantities of Second-Order Nonholomic Mechanical System in Phase Place are studied.Firstly,by using the invariance of the differential equation of motion under the infinitesimal transformations,the determining equation and the restriction equations of the Lie symmetries of the system are established,and the structure equation and the conservative quantities of the Lie symmetries are obtained.Secondly,the inverse problems of the Lie symmetries are studied.Finally,an example is given to illustrate the application of the result.

关 键 词：相空间 二阶非完整力学系统 LIE对称性 守恒量 

分 类 号：O316[理学—一般力学与力学基础]