%0 Journal Article
%T Form invariances and Lutzky conserved quantities for Lagrange systems<br>Lagrange系统形式不变性和Lutzky守恒量
%A Mei Feng-Xiang
%A Xu Xue-Jun
%A <br>梅凤翔
%A 许学军
%J 中国物理 B
%D 2005
%I 
%X This paper focuses on studying a form invariance which can result in a Lutzky conserved quantity for a Lagrange system. The criterion of the form invariance for the system is given. The necessary and sufficient condition under which the form invariance is a Lie symmetry for the system is obtained. Lutzky's result is utilized to prove that the form invariance can lead to a Lutzky conserved quantity. Two examples are finally given to illustrate the application of the result.
%K symmetry
%K form invariance
%K conserved quantity
%K Lagrange system<br>对称性
%K 形式不变性
%K 守恒量
%K Lagrange系统
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=8F082A679B735B55FCE3A0365CF711D7&yid=2DD7160C83D0ACED&vid=F3583C8E78166B9E&iid=38B194292C032A66&sid=78BF76CF5B7CB0F2&eid=9B95A71E6639C039&journal_id=1009-1963&journal_name=中国物理&referenced_num=2&reference_num=25