江西科学2008，Vol.26Issue(5)：669-673,686,6.
机电系统Lie对称性的摄动和广义Hojman型绝热不变量
Perturbation of Lie Symmetries and A Type of Generalized Hojman's Adiabatic Invariants for Mechanico-electrical Systems
王小明 1李元成1
作者信息
- 1. 中国石油大学物理科学与技术学院,山东,东营,257061
- 折叠
摘要
Abstract
The perturbation problem of Lie symmetries and adiabatic invariants for mechanico-electrical systems are studied.Firstly,a type of generalized Hojman's conserved quantity under general infinitesimal transformation is obtained.Then,based on the definition of high-order adiabatic invariants of a mechanical system,the perturbation of Lie symmetries for mechanico-electrical systems under small disturbance is discussed and a type of generalized. Hojman's adiabatic invariants are given.At last,an example to illustrate the application of the results is given.关键词
机电系统/Lie对称性/摄动/绝热不变量Key words
Mechanico-electrical systems/Lie symmetry/Perturbation/Adiabatic invariant分类
数理科学引用本文复制引用
王小明,李元成..机电系统Lie对称性的摄动和广义Hojman型绝热不变量[J].江西科学,2008,26(5):669-673,686,6.
