A series of non-Noether conservative quantities and Mei symmetries of nonconservative systems  

作　　者：刘鸿基 傅景礼 唐贻发 

机构地区：[1]Institute of Mathematical Physics, Shangqiu Teacher's College, Shangqiu 476000, China [2]Department of Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China [3]State Key Laboratory of Scientific and Engineering Computing, Chinese Academy of Sciences, Beijing 100080, China [4]Shanghai University, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, China

出　　处：《Chinese Physics B》2007年第3期599-604,共6页中国物理B（英文版）

基　　金：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）.

摘　　要：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.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.

关 键 词：Mei symmetry non-Noether conservative quantity Lutzky conservative quantity nonconservative system 

分 类 号：O302[理学—力学] O316