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

被引：16
|
作者：
Liu Hong-Ji
Fu Jing-Li [1 ]
Tang Yi-Fa
机构：
[1] Zhejiang Sci Tech Univ, Dept Phys, Hangzhou 310018, Peoples R China
[2] Shangqiu Teacheres Coll, Inst Math Phys, Shangqiu 476000, Peoples R China
[3] Chinese Acad Sci, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China
[4] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China
来源：
CHINESE PHYSICS | 2007年 / 16卷 / 03期
关键词：
Mei symmetry; non-Noether conservative quantity; Lutzky conservative quantity; nonconservative system;
D O I：
10.1088/1009-1963/16/3/007
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
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.
引用
收藏
页码：599 / 604
页数：6
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