Noether symmetries of discrete mechanico-electrical systems  

作　　者：傅景礼 陈本永 谢凤萍 

机构地区：[1]Institute of Mathematical Physics, Zhejiang Sci-Tech University [2]Institute of Mechanical and Automatism Control Engineering, Zhejiang Sci-Tech University

出　　处：《Chinese Physics B》2008年第12期4354-4360,共7页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos 10672143 and 60575055);the Natural Science Foundation of Henan Province, China (Grant No 0511022200)

摘　　要：This paper focuses on studying Noether symmetries and conservation laws of the discrete mechanico-electricM systems with the nonconservative and the dissipative forces. Based on the invariance of discrete Hamilton action of the systems under the infinitesimal transformation with respect to the generalized coordinates, the generalized electrical quantities and time, it presents the discrete analogue of variational principle, the discrete analogue of Lagrange-Maxwell equations, the discrete analogue of Noether theorems for Lagrange Maxwell and Lagrange mechanico-electrical systems. Also, the discrete Noether operator identity and the discrete Noether-type conservation laws are obtained for these systems. An actual example is given to illustrate these results.This paper focuses on studying Noether symmetries and conservation laws of the discrete mechanico-electricM systems with the nonconservative and the dissipative forces. Based on the invariance of discrete Hamilton action of the systems under the infinitesimal transformation with respect to the generalized coordinates, the generalized electrical quantities and time, it presents the discrete analogue of variational principle, the discrete analogue of Lagrange-Maxwell equations, the discrete analogue of Noether theorems for Lagrange Maxwell and Lagrange mechanico-electrical systems. Also, the discrete Noether operator identity and the discrete Noether-type conservation laws are obtained for these systems. An actual example is given to illustrate these results.

关 键 词：Noether symmetry conservation law discrete mechanico-electrical system dissipative function 

分 类 号：O316[理学—一般力学与力学基础]