| Chetaev型非完整系统Nielsen方程Lie对称性导致的一种守恒量 |
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| 引用本文： | 徐瑞莉,方建会,张斌,王菲菲.Chetaev型非完整系统Nielsen方程Lie对称性导致的一种守恒量[J].动力学与控制学报,2014,12(1):13-17. |
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| 作者姓名： | 徐瑞莉 方建会 张斌 王菲菲 |
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| 作者单位： | 中国石油大学理学院，青岛 266580 |
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| 基金项目： | 山东省自然科学基金(ZR2011AM012)、中国石油大学（华东）研究生自主创新科研计划项目(13CX06005A) |
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| 摘 要： | 研究Chetaev型非完整系统Nielsen方程Lie对称性导致的一种守恒量,给出无限小群变换下Chetaev型非完整系统Nielsen方程Lie对称性的确定方程,得到Chetaev型非完整系统Nielsen方程Lie对称性直接导致的一种守恒量及其存在条件,并举例说明结果应用.
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| 关 键 词： | 非完整系统 Nielsen方程 Lie对称性 守恒量 |
A type of conserved quantity of lie symmetry for nonholonomic system of nielsen equation of chetaev's type |
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| Xu Ruili,Fang Jianhui,Zhang Bin and Wang Feifei.A type of conserved quantity of lie symmetry for nonholonomic system of nielsen equation of chetaev''s type[J].Journal of Dynamics and Control,2014,12(1):13-17. |
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| Authors: | Xu Ruili Fang Jianhui Zhang Bin and Wang Feifei |
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| Affiliation: | Xu Ruili Fang Jianhui Zhang Bin Wang Feifei ( College of Science, China University of Petroleum, Qingdao 266580, China) |
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| Abstract: | This paper studied a type of conserved quantity deduced by the Lie symmetry for nonholonomic system with Chetaev type of the Nielsen equation. Firstly, the determining equations of the Lie symmetry for nonholonomic system with Chetaev type of the Nielsen equation were given under the infinitesimal transformation of groups. Secondly, the conditions of the existence of the type of conserved quantity of the system as well as its forms were obtained. And finally, an example was given to illustrate the application of the results. |
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| Keywords: | nonholonomic system Nielsen equation Lie symmetry conserved quantity |
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