| 变质量Chetaev型非完整系统Appell方程Mei对称性的共形不变性与守恒量 |
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| 引用本文： | 张芳,李伟,张耀宇,薛喜昌,贾利群.变质量Chetaev型非完整系统Appell方程Mei对称性的共形不变性与守恒量[J].物理学报,2014,63(16):164501-164501. |
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| 作者姓名： | 张芳 李伟 张耀宇 薛喜昌 贾利群 |
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| 作者单位： | 1. 平顶山学院电气信息工程学院, 平顶山 467002;2. 河南城建学院数理学院, 平顶山 467002;3. 江南大学理学院, 无锡 214122 |
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| 基金项目： | 国家自然科学基金(批准号:11142014)资助的课题~~ |
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| 摘 要： | 研究了变质量Chetaev型非完整系统Appell方程Mei对称性的共形不变性和守恒量.在群的无限小变换下,定义了变质量Chetaev型非完整系统Appell方程Mei对称性和共形不变性,给出了该系统Mei对称性的共形不变性确定方程,并推导出系统相应的守恒量表达式.最后,给出了应用算例.
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| 关 键 词： | 变质量 Chetaev型非完整系统 Appell方程 共形不变性 |
| 收稿时间： | 2014-04-08 |
Conformal invariance and conserved quantity of Mei symmetry for Appell equations in nonholonomic systems of Chetaev’s type with variable mass |
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| Zhang Fang,Li Wei,Zhang Yao-Yu,Xue Xi-Chang,Jia Li-Qun.Conformal invariance and conserved quantity of Mei symmetry for Appell equations in nonholonomic systems of Chetaev’s type with variable mass[J].Acta Physica Sinica,2014,63(16):164501-164501. |
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| Authors: | Zhang Fang Li Wei Zhang Yao-Yu Xue Xi-Chang Jia Li-Qun |
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| Abstract: | Conformal invariance and conserved quantity of Mei symmetry for Appell equations of nonholonomic system of Chetaev's type with variable mass are studied. The conformal invariance and Mei symmetry for Appell equations of nonholonomic systems of Chetaev's type with variable mass are defined under the infinitesimal transformation of group, and the determining equations of conformal invariance of Mei symmetry for the system are given. Then, the expression of the corresponding conserved quantity of the system is derived. Finally, an example is given to illustrate the application of the results.
Keywords：
variable mass
nonholonomic systems of Chetaev’s type
Appell equation
conformal invariance |
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| Keywords: | variable mass nonholonomic systems of Chetaev’s type Appell equation conformal invariance |
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