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事件空间中非Chetaev型非完整系统的Mei对称性与Mei守恒量
引用本文:贾利群,郑世旺,张耀宇. 事件空间中非Chetaev型非完整系统的Mei对称性与Mei守恒量[J]. 物理学报, 2007, 56(10): 5575-5579
作者姓名:贾利群  郑世旺  张耀宇
作者单位:1. 江南大学理学院,无锡,214122
2. 商丘师范学院物理与信息工程系,商丘,476000
3. 平顶山学院电气信息工程学院,平顶山,467002
基金项目:国家自然科学基金(批准号:10572021,10372053)资助的课题.
摘    要:研究了事件空间中非Chetaev型非完整系统的Mei对称性和Mei守恒量.给出了事件空间中非Chetaev型非完整系统的运动微分方程、Mei对称性的定义和判据、Mei对称性直接导致的Mei守恒量的条件以及Mei守恒量的形式.并举例说明了结论的应用.

关 键 词:事件空间  非完整系统  Mei对称性  Mei守恒量
收稿时间:2006-05-14
修稿时间:2006-05-14

Mei symmetry and Mei conserved quantity of nonholonomic systems of non-Chetaev''''s type in event space
Jia Li-Qun,Zheng Shi-Wang,Zhang Yao-Yu. Mei symmetry and Mei conserved quantity of nonholonomic systems of non-Chetaev''''s type in event space[J]. Acta Physica Sinica, 2007, 56(10): 5575-5579
Authors:Jia Li-Qun  Zheng Shi-Wang  Zhang Yao-Yu
Affiliation:1. School of Science, Jiangnan University, Wuxi 214122, China; 2. Department of Physics and Information Engineering, Shangqiu Teachers College, Shangqiu 476000, China; 3. Electric and Information Eitgineering College, Pingdingshan University, Pingdingshan 467002, China
Abstract:This paper studies the Mei symmetry and Mei conserved quantity of non-Chetaev's type in the event space. The differential equations of motion of non-holonomic s ystems of non-Chetaev's type in event spaces are established. The definition and the criteria of Mei symmetry are given. The condition and the form of Mei conse rved quantity are deduced directly from the Mei symmetry. An example is given to illustrate the application of the results.
Keywords:event space   nonholonomic system   Mei symmetry   Mei conserved quantity
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