%0 Journal Article
%T A set of conserved quantities from Lie symmetries for Birkhoffian systems
Birkhoff系统的一类Lie对称性守恒量
%A Zhang Yi
%A
张毅
%J 物理学报
%D 2002
%I
%X This paper presents a new method for obtaining conserved quantities from Lie symmetries for Brikhoffian systems. The Lie symmetrical transformations of the systems are given, which only depend on the Birkhoffian variables. A set of conserved quantities are directly obtained from the Lie symmetries of the systems, and an example is given to illustrate the application of the results.
%K analytical mechanics
%K symmetry
%K conserved quantity
%K Birkhoffian system
分析力学
%K 对称性
%K 守恒量
%K Birkhoff系统
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=44721AFD1B9578F4&yid=C3ACC247184A22C1&vid=987EDA49D8A7A635&iid=38B194292C032A66&sid=FCACFF68346F8D4F&eid=1A033C02510EFBE6&journal_id=1000-3290&journal_name=物理学报&referenced_num=22&reference_num=14