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准坐标下一般完整系统Nielsen方程的Mei对称性导致的Mei守恒量
引用本文:杨新芳,贾利群,张耀宇,崔金超,解银丽.准坐标下一般完整系统Nielsen方程的Mei对称性导致的Mei守恒量[J].云南大学学报(自然科学版),2010,32(3):304-307.
作者姓名:杨新芳  贾利群  张耀宇  崔金超  解银丽
作者单位:1. 江南大学理学院, 江苏无锡 214122;
2. 平顶山学院电气信息工程学院, 河南平顶山 467002;
3. 北京理工大学宇航学院, 北京 100081
摘    要:研究准坐标下一般完整系统Nielsen方程的Mei对称性导致的Mei守恒量.给出一般完整系统Nielsen方程的Mei对称性的定义和判据,讨论一般完整系统Nielsen方程Mei对称性直接导致的Mei守恒量的条件及Mei守恒量的形式,并举例说明结果的应用.

关 键 词:准坐标  Nielsen方程  Mei对称性  Mei守恒量

Mei conserved quantity led by Mei symmetry of a Nielsen equation for a holonomic system in terms of quasi-coordinates
YANG Xin-fang,JIA Li-qun,ZHANG Yao-yu,CUI Jin-chao,XIE Yin-li.Mei conserved quantity led by Mei symmetry of a Nielsen equation for a holonomic system in terms of quasi-coordinates[J].Journal of Yunnan University(Natural Sciences),2010,32(3):304-307.
Authors:YANG Xin-fang  JIA Li-qun  ZHANG Yao-yu  CUI Jin-chao  XIE Yin-li
Institution:1. School of Science, Jiangnan University, Wuxi, 214122, China;
2. Electric and Information Engineering College, Pingdingshan University, Pingdingshan 467002, China;
3. School of Astronautics, Beijing Institute of Technology, Beijing 100081, China
Abstract:Mei conserved quantity led by Mei symmetry of a Nielsen equation for a holonomic system in terms of quasi-coordinates was discussed.The definition and the criterion of Mei symmetry of a Nielsen equation for a holonomic mechanical system in terms of quasi-coordinates are given,and the condition and the form of the Mei conserved quantity deduced directly from the Mei symmetry of the Nielsen equation for a holonomic mechanical system are discussed.Finally,an example is given to illustratethe application of the results.
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