The discrete variational principle and the first integrals of Birkhoff systems＊  

作　　者：张宏彬 陈立群 顾书龙 柳传长 

机构地区：[1]Department of Physics, Chaohu College, Chaohu 238000, China [2]Shanghai Institute of Mathematics and Mechanics, Shanghai University, Shanghai 200072, China [3]Department of Mechanics, Shanghai University, Shanghai 200436, China

出　　处：《Chinese Physics B》2007年第3期582-587,共6页中国物理B（英文版）

基　　金：Project partially supported by the National Natural Science Foundation of China （Grant No 10172056） and the Science Research of the Education Bureau of Anhui Province, China （Grant No 2006KJ263B）. Acknowledgement We wish to thank the referees for their careful reading of the manuscript and their useful remarks which helped us to improve the quality of this paper.

摘　　要：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.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.

关 键 词：discrete mechanics Birkhoff system discrete Pfaffian Noether＇s theorem first integral 

分 类 号：O313[理学—一般力学与力学基础]