广义非完整力学系统的Lie对称性与Noether守恒量  

Lie symmetries and Noether conserved quantities of generalized nonholonomic mechanical systems

作　　者：董文山[1] 黄宝歆[1] 

机构地区：[1]潍坊学院物理与电子科学系,潍坊261061

出　　处：《物理学报》2010年第1期1-6,共6页Acta Physica Sinica

基　　金：潍坊学院自然科学基金(批准号:2008Z03)资助的课题~~

摘　　要：研究广义非完整力学系统的Lie对称性与Noether守恒量,建立Lie对称性的确定方程、限制方程和附加限制方程,给出结构方程和Noether守恒量的形式,研究Lie对称性的逆问题,并举算例说明结果的应用.In this paper we study the Lie symmetries and Noether conserved quantities of generalized nonholonomic mechanical systems, and establish the determining equations, the restriction equations and the additional restriction equations. The structure equation and the form of Noether conserved quantities are obtained. The inverse problems of Lie symmetries are discussed and an example to illustrate the application of the result is given.

关 键 词：广义非完整力学 LIE对称性 守恒量 

分 类 号：O316[理学—一般力学与力学基础]