Noether symmetries of discrete mechanico-electrical systems
Fu Jing-Li (傅景礼)a, Chen Ben-Yong(陈本永)b, Xie Feng-Ping (谢凤萍)a
a Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China; b Institute of Mechanical and Automatism Controlcal Engineering, Zhejiang Sci-Tech University, Hangzhou 310018, China
Abstract This paper focuses on studying Noether symmetries and conservation laws of the discrete mechanico-electrical 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 varitional principle, the discrete analogue of Lagrange-Maxwell equations, the discrete analogue of Noether theorems for Lagrange-Maxwell and Lagrange machanico-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.
Received: 06 March 2008
Revised: 29 August 2008
Accepted manuscript online:
PACS:
45.05.+x
(General theory of classical mechanics of discrete systems)
Fund: Project supported by the National
Natural Science Foundation of China (Grant Nos 10672143 and
60575055) and the Natural Science Foundation of Henan Province,
China (Grant No 0511022200).
Cite this article:
Fu Jing-Li (傅景礼), Chen Ben-Yong(陈本永), Xie Feng-Ping (谢凤萍) Noether symmetries of discrete mechanico-electrical systems 2008 Chin. Phys. B 17 4354
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