A series of non-Noether conservative quantities and Mei symmetries of nonconservative systems
Liu Hong-Ji(刘鸿基)a), Fu Jing-Li(傅景礼)b)d)†, and Tang Yi-Fa(唐贻发)c)
a Institute of Mathematical Physics, Shangqiu Teacher's College, Shangqiu 476000, China; b Department of Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China; c State Key Laboratory of Scientific and Engineering Computing, Chinese Academy of Sciences, Beijing 100080, China; d Shanghai University, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, China
Abstract In this paper Mei symmetry is introduced for a nonconservative system. The necessary and sufficient condition for a Mei symmetry to be also a Lie symmetry is derived. It is proved that the Mei symmetry leads to a non-Noether conservative quantity via a Lie symmetry, and deduces a Lutzky conservative quantity via a Lie point symmetry.
Received: 14 June 2005
Revised: 20 July 2006
Accepted manuscript online:
(General theory of classical mechanics of discrete systems)
Fund: Project supported by the State Key
Laboratory of Scientific and Engineering Computing, Chinese Academy of
Sciences and the National Natural Science Foundation of China
(Grant Nos 10672143, 10471145 and 10372053) and the Natural Science Foundation of Henan Province
Government of China(Grant Nos 0511022200 and 0311011400).
Cite this article:
Liu Hong-Ji(刘鸿基), Fu Jing-Li(傅景礼), and Tang Yi-Fa(唐贻发) A series of non-Noether conservative quantities and Mei symmetries of nonconservative systems 2007 Chinese Physics 16 599
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