%0 Journal Article
%T Noether symmetries of discrete mechanico-electrical systems
%A Fu Jing-Li
%A Chen Ben-Yong
%A Xie Feng-Ping
%A
%J 中国物理 B
%D 2008
%I
%X 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.
%K Noether symmetry
%K conservation law
%K discrete mechanico-electrical system
%K dissipative function
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=F623AB13CC5549D11A5E7F9F49D1734F&yid=67289AFF6305E306&vid=BCA2697F357F2001&iid=59906B3B2830C2C5&sid=D5F84C1FCF62CF88&eid=D45529841330A72F&journal_id=1009-1963&journal_name=中国物理&referenced_num=0&reference_num=0