Mei conserved quantity directly induced by Lie symmetry in a nonconservative Hamilton system

In this paper,we investigate whether the Lie symmetry can induce the Mei conserved quantity directly in a nonconservative Hamilton system and a theorem is presented.The condition under which the Lie symmetry of the system directly induces the Mei conserved quantity is given.Meanwhile,an example is d...

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Published inChinese physics B Vol. 21; no. 5; pp. 11 - 14
Main Author 方建会 张斌 张伟伟 徐瑞莉
Format Journal Article
LanguageEnglish
Published 01.05.2012
Subjects
Hamilton系统
Lie对称性
Mei
Symmetry
Theorems
保守
守恒量
定理
诱发
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Summary:In this paper,we investigate whether the Lie symmetry can induce the Mei conserved quantity directly in a nonconservative Hamilton system and a theorem is presented.The condition under which the Lie symmetry of the system directly induces the Mei conserved quantity is given.Meanwhile,an example is discussed to illustrate the application of the results.The present results have shown that the Lie symmetry of a nonconservative Hamilton system can also induce the Mei conserved quantity directly.
Bibliography:In this paper,we investigate whether the Lie symmetry can induce the Mei conserved quantity directly in a nonconservative Hamilton system and a theorem is presented.The condition under which the Lie symmetry of the system directly induces the Mei conserved quantity is given.Meanwhile,an example is discussed to illustrate the application of the results.The present results have shown that the Lie symmetry of a nonconservative Hamilton system can also induce the Mei conserved quantity directly.
11-5639/O4
Fang Jian-Hui ,Zhang Bin,Zhang Wei-Wei,and Xu Rui-Li College of Science,China University of Petroleum,Qingdao 266580,China
Lie symmetry, Mei conserved quantity, nonconservative Hamilton system
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/5/050202