%0 Journal Article
%T The discrete variational principle and the first integrals of Birkhoff systems<br>The discrete variational principle and the first integrals of Birkhoff systems＊
%A Zhang Hong-Bin
%A Chen Li-Qun
%A Gu Shu-Long
%A Liu Chuan-Zhang
%A <br>张宏彬
%A 陈立群
%A 顾书龙
%A 柳传长
%J 中国物理 B
%D 2007
%I 
%X This paper shows that first integrals of discrete equation of motion for Birkhoff systems can be determined explicitly by investigating the invariance properties of the discrete Pfaffian. The result obtained is a discrete analogue of theorem of Noether in the calculus of variations. An example is given to illustrate the application of the results.
%K discrete mechanics
%K Birkhoff system
%K discrete Pfaffian
%K Noether's theorem
%K first integral<br>Birkhoff系统
%K 离散
%K 变分原理
%K 初积分
%K Noether对称
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=FF458534E88FE56FF54D32F0C93F8336&yid=A732AF04DDA03BB3&vid=7801E6FC5AE9020C&iid=38B194292C032A66&sid=90773C2285A2F0BB&eid=D5970ECA7D10A7B1&journal_id=1009-1963&journal_name=中国物理&referenced_num=0&reference_num=18