| 变质量Chetaev型非完整系统Appell方程的Mei对称性和Mei守恒量 |
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| 引用本文： | 杨新芳,孙现亭,王肖肖,张美玲,贾利群.变质量Chetaev型非完整系统Appell方程的Mei对称性和Mei守恒量[J].物理学报,2011,60(11):111101-111101. |
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| 作者姓名： | 杨新芳 孙现亭 王肖肖 张美玲 贾利群 |
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| 作者单位： | 1. 江南大学理学院,无锡 214122;
2. 平顶山学院电气信息工程学院,平顶山 467002 |
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| 基金项目： | 中央高校基本科研业务费专项基金(批准号: JUSRP31102)和国家自然科学基金(批准号:61178032)资助的课题. |
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| 摘 要： | 研究变质量Chetaev型非完整系统Appell方程的Mei对称性和Mei守恒量.建立变质量Chetaev型非完整系统的Appell方程和系统的运动微分方程; 给出函数沿系统运动轨道曲线对时间t全导数的表示式,并在群的无限小变换下,给出变质量Chetaev型非完整系统Appell方程Mei对称性的定义和判据;得到用Appell函数表示的Mei对称性的结构方程和Mei守恒量的表达式,并举例说明结果的应用.
关键词：
变质量
非完整系统
Appell方程
Mei守恒量
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| 关 键 词： | 变质量 非完整系统 Appell方程 Mei守恒量 |
| 收稿时间： | 2010-12-06 |
Mei symmetry and Mei conserved quantity of Appell equations for nonholonomic systems of Chetaev's type with variable mass |
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| Yang Xin-Fang,Sun Xian-Ting,Wang Xiao-Xiao,Zhang Mei-Ling and Jia Li-Qun.Mei symmetry and Mei conserved quantity of Appell equations for nonholonomic systems of Chetaev's type with variable mass[J].Acta Physica Sinica,2011,60(11):111101-111101. |
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| Authors: | Yang Xin-Fang Sun Xian-Ting Wang Xiao-Xiao Zhang Mei-Ling and Jia Li-Qun |
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| Institution: | School of Science, Jiangnan University, Wuxi 214122, China;Electric and Information Engineering College, Pingdingshan University, Pingdingshan 467002, China;School of Science, Jiangnan University, Wuxi 214122, China;School of Science, Jiangnan University, Wuxi 214122, China;School of Science, Jiangnan University, Wuxi 214122, China |
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| Abstract: | Mei symmetry and Mei conserved quantity of Appell equation for a nonholonomic system of Chetaev's type with variable mass are studied.The Appell equation and differential equation of motion of the system are set up.The expression of the total derivative of the function along the trajectory of the system with respect to t,the definition and criterion of Mei symmetry of Appell equation for a nonholonomic system of Chetaev's type with variable mass under the infinitesimal transformation of group are given.The ... |
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| Keywords: | variable mass nonholonomic systems Appell equation Mei conserved quantity |
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