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A series of non-Noether conservative quantities and Mei symmetries of nonconservative systems
Authors:Liu Hong-Ji  Fu Jing-Li and Tang Yi-Fa
Institution:Institute of Mathematical Physics, Shangqiu Teacher's College, Shangqiu 476000, China; Department of Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China; State Key Laboratory of Scientific and Engineering Computing, Chinese Academy of Sciences, Beijing 100080, China;  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.
Keywords:Mei symmetry  non-Noether conservative quantity  Lutzky conservative quantity  nonconservative system
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