| 一般完整系统Appell方程的Mei对称性 |
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| 引用本文： | 张耀宇,贾利群,郑世旺. 一般完整系统Appell方程的Mei对称性[J]. 河南师范大学学报(自然科学版), 2007, 35(2): 77-79 |
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| 作者姓名： | 张耀宇 贾利群 郑世旺 |
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| 作者单位： | 平顶山学院,电气信息工程学院,河南,平顶山,467002;江南大学,理学院,无锡,214122;商丘师范学院,物理与信息工程系,河南,商丘,476000 |
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| 摘 要： | 研究一般完整系统Appell方程的Mei对称性和Mei守恒量.建立一般完整系统的Appell方程;在群的无限小变换下,给出一般完整系统Appell方程的Mei对称性的定义和判据;讨论一般完整系统Appell方程Mei对称性和Mei守恒量的研究方法;得到Mei对称性导致的Mei守恒量的存在条件以及Mei守恒量的表达式.
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| 关 键 词： | Appell方程 完整系统 Mei对称性 Mei守恒量 |
| 文章编号： | 1000-2367(2007)02-0077-03 |
| 修稿时间： | 2006-10-05 |
Mei Symmetry for Appell Equation in General Holonomic Systems |
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| ZHANG Yao-yu,JIA Li-qun,ZHENG Shi-wang. Mei Symmetry for Appell Equation in General Holonomic Systems[J]. Journal of Henan Normal University(Natural Science), 2007, 35(2): 77-79 |
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| Authors: | ZHANG Yao-yu JIA Li-qun ZHENG Shi-wang |
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| Affiliation: | 1. Electric and Information Engineering College, Pingdingshan University,Pingdingshan 467002, China; 2. School of Science, Southern Yangtze University,Wuxi 214122, China;3. Department of Physics and Information Engineering, Shangqiu Teachers College, Shangqiu 476000, China |
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| Abstract: | Mei symmetry and Mei conserved quantity of general holonomic systems are studied.Appell equations of a general holonomic mechanic system are established.The definition and the criterion of Mei symmetry of Appell equations under the infinitesimal transformations of groups are given.A research method between Mei symmetry and Mei conserved quantity is discussed for general holonomic systems.The existence condition and the expression of Mei conserved quantity which are deduced directly by Mei symmetry are obtained. |
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| Keywords: | Appell equation holonomic system Mei symmetry Mei conserved quantity |
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