| 变质量非完整可控力学系统的形式不变性与Lie对称性 |
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| 引用本文： | 夏丽莉,后其宝,王静,李元成.变质量非完整可控力学系统的形式不变性与Lie对称性[J].青岛大学学报(自然科学版),2006,19(1):51-55. |
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| 作者姓名： | 夏丽莉 后其宝 王静 李元成 |
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| 作者单位： | 中国石油大学物理科学与技术学院,山东,东营,257061 |
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| 摘 要： | 研究了变质量非完整可控力学系统的形式不变性与Lie对称性。给出变质量非完整可控力学系统在无限小变换下形式不变性和Lie对称性的定义、判据及存在守恒量的定理,得到形式不变性与Lie对称性的关系。
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| 关 键 词： | 变质量 非完整系统 可控力学系统 形式不变性 Lie对称性 |
| 文章编号： | 1006-1037（2006）01-0051-05 |
| 收稿时间： | 2005-10-20 |
| 修稿时间： | 2006-01-25 |
Form Invariance of Vriable Mass Nonholonomic Controllable Mechanical System |
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| XIA Li-li,HOU Qi-bao,WANG Jing,LI Yuan-cheng.Form Invariance of Vriable Mass Nonholonomic Controllable Mechanical System[J].Journal of Qingdao University(Natural Science Edition),2006,19(1):51-55. |
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| Authors: | XIA Li-li HOU Qi-bao WANG Jing LI Yuan-cheng |
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| Institution: | College of Physics Science and Technology, China University of , LI Yuan-cheng Petroleum Dongying 257061, China |
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| Abstract: | The form invariance and Lie symmetry of variable mass nonholonomic controllable mechanical system are studied.Equations of motion and criterions of the form invariance and Lie symmetry are established.The condition of systemic controllable equation keeping form invariance and Lie symmetry and the form of the conserved quantity are obtained.An example is given to illustrate the application of the result. |
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| Keywords: | controllable mechanical system nonholonomic system form invariance conserved quantity Lie symmetry |
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