%0 Journal Article
%T Lie symmetries and Noether conserved quantities of generalized nonholonomic mechanical systems<br>广义非完整力学系统的Lie对称性与Noether守恒量
%A Dong Wen-Shan
%A Huang Bao-Xin
%A <br>董文山
%A 黄宝歆
%J 物理学报
%D 2010
%I 
%X 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.
%K generalized nonholonomic mechanics
%K Lie symmetries
%K conserved quantity<br>广义非完整力学，
%K Lie对称性，
%K 守恒量
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=CE09E6BF58AFE5EC6A0DDD8BB98FEB94&yid=140ECF96957D60B2&vid=6AC2A205FBB0EF23&iid=CA4FD0336C81A37A&sid=CA4FD0336C81A37A&eid=B31275AF3241DB2D&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=0