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| Chetaev型约束力学系统Appell方程的Mei对称性与Mei守恒量 | |
| 引用本文： | 贾利群,张耀宇,郑世旺.Chetaev型约束力学系统Appell方程的Mei对称性与Mei守恒量[J].云南大学学报(自然科学版),2007,29(6):589-595. |
| 作者姓名： | 贾利群 张耀宇 郑世旺 |
| 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. 商丘师范学院,物理与信息工程系,河南,商丘,476000 |
| 摘 要： | 研究Chetaev型约束力学系统Appell方程的Mei对称性和Mei守恒量.建立Chetaev型约束力学系统的Appell方程和系统的运动微分方程;分析Lagrange函数和A函数的关系;讨论Chetaev型约束力学系统Appell方程的Mei对称性和Mei守恒量的一般研究方法;在群的无限小变换下,给出Appell方程Mei对称性的定义和判据;得到Mei对称性的结构方程以及Mei守恒量的表达式.举例说明结果的应用. |
| 关 键 词： | Appell方程 Chetaev型约束力学系统 Mei对称性 Mei守恒量 |
| 文章编号： | 0258-7971（2007）06-0589-07 |
| 修稿时间： | 2007-03-30 |
Mei symmetry and Mei conserved quantity for Appell equation in Chetaev constraint mechanical systems |
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| JIA Li-qun,ZHANG Yao-yu,ZHENG Shi-wang.Mei symmetry and Mei conserved quantity for Appell equation in Chetaev constraint mechanical systems[J].Journal of Yunnan University(Natural Sciences),2007,29(6):589-595. | |
| Authors: | JIA Li-qun ZHANG Yao-yu ZHENG Shi-wang |
| Institution: | 1. School of Science, Jiangnan University, Wuxi 214122, China; 2. Electric and Information Engineering College, Pingdingshan University, Pingdingshan 467002, China;3. Department of Physics and Information Engineering, Shangqiu Teachers College, Shangqiu 476000, China |
| Abstract: | Mei symmetry and Mei conserved quantity for Appell equation in Chetaev constraint mechanical systems are investigated.Appell equations and differential equations of motion for Chetaev constraint mechanic systems are established.The relation between Lagrange function and A function is analyzed.An general research approach of Mei symmetry and Mei conserved quantity for Appell equation in Chetaev constraint mechanical system is discussed.The definition and the criterion of Mei symmetry of Appell equations under the infinitesimal transformations of groups are given.The constructional equation of Mei symmetry and the expression of Mei conserved quantity are also obtained.An example is given to illustrate the application of the results. |
| Keywords: | Appell equation Chetaev constraint mechanical system Mei symmetry Mei conserved quantity |
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