The Lie symmetries and Noether conserved quantities of discrete non-conservative mechanical systems  

作　　者：施沈阳 傅景礼 陈立群 

机构地区：[1]Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University [2]Department of Physics,Zhejiang Sci-Tech University

出　　处：《Chinese Physics B》2008年第2期385-389,共5页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No 10672143);the Natural Science Foundation of Henan Province,China (Grant No 0511022200)

摘　　要：This paper investigates the Lie symmetries and Noether conserved quantities of discrete non-conservative mechanical systems. The variational principle of discrete mechanics, from which discrete motion equations of systems are deduced, is generalized to the case of including the time variational. The requirement for an invariant group transformation is defined to be the Lie symmetry and the criterion when the Noether conserved quantities may be obtained from Lie symmetries is also presented. An example is discussed for applications of the results.This paper investigates the Lie symmetries and Noether conserved quantities of discrete non-conservative mechanical systems. The variational principle of discrete mechanics, from which discrete motion equations of systems are deduced, is generalized to the case of including the time variational. The requirement for an invariant group transformation is defined to be the Lie symmetry and the criterion when the Noether conserved quantities may be obtained from Lie symmetries is also presented. An example is discussed for applications of the results.

关 键 词：discrete mechanics total variational principle Lie symmetry discrete conserved quantity 

分 类 号：O316[理学—一般力学与力学基础]