| Chetaev型约束的相对运动动力学系统Nielsen方程的Noether对称性与Noether守恒量 |
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| 引用本文： | 王肖肖,孙现亭,张美玲,解银丽,贾利群.Chetaev型约束的相对运动动力学系统Nielsen方程的Noether对称性与Noether守恒量[J].物理学报,2012,61(2):064501. |
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| 作者姓名： | 王肖肖 孙现亭 张美玲 解银丽 贾利群 |
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| 作者单位： | 江南大学理学院,无锡 214122;平顶山学院电气信息工程学院,平顶山 467002;江南大学理学院,无锡 214122;江南大学理学院,无锡 214122;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:1142014,61178032)资助的课题. |
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| 摘 要： | 研究Chetaev型约束的相对运动动力学系统Nielsen方程的Noether对称性与Noether守恒量. 对Chetaev型约束的相对运动力学系统Nielsen方程的运动微分方程、Noether对称性定义和判据进行具 体的研究, 得到了Noether对称性直接导致的Noether守恒量的表达式. 最后举例说明结果的应用.
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| 关 键 词： | Chetaev型约束 相对运动动力学 Nielsen方程 Noether守恒量 |
Noether symmetry and Noether conserved quantity of Nielsen equation in a dynamical system of the relative motion with nonholonomic constraint of Chetaev's type |
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| Wang Xiao-Xiao,Sun Xian-Ting,Zhang Mei-Ling,Xie Yin-Li and Jia Li-Qun.Noether symmetry and Noether conserved quantity of Nielsen equation in a dynamical system of the relative motion with nonholonomic constraint of Chetaev's type[J].Acta Physica Sinica,2012,61(2):064501. |
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| Authors: | Wang Xiao-Xiao Sun Xian-Ting Zhang Mei-Ling Xie Yin-Li and Jia Li-Qun |
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| Institution: | School of Science, Jiangnan University, Wuxi 214122, China;School of Electric and Information Engineering, 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: | Noether symmetry and Noether conserved quantity of Nielsen equation in a dynamical system of the relative motion with nonholonomic constraint of Chetaev's type are studied. The differential equation of motion of Nielsen equation for the system, the definition and the criterion of Noether symmetry, and the expression of Noether conserved quantity deduced directly from Noether symmetry for the system are obtained. An example is given to illustrate the application of the results. |
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| Keywords: | nonholonomic constraint of Chetaev's type dynamics of the relative motion Nielsen equation Noether conserved quantity |
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