| 变质量非完整系统的形式不变性与Lie对称性 |
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| 引用本文： | 方建会,陈培胜,张军. 变质量非完整系统的形式不变性与Lie对称性[J]. 应用数学和力学, 2005, 26(2): 187-192 |
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| 作者姓名： | 方建会 陈培胜 张军 |
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| 作者单位： | 石油大学 应用物理系,山东 东营 257061 |
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| 摘 要： | 研究变质量非完整系统的形式不变性和Lie对称性．给出变质量非完整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,得到形式不变性和Lie对称性的关系,并举例说明结果的应用．
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| 关 键 词： | 变质量 非完整系统 形式不变性 Lie对称性 |
| 文章编号： | 1000-0887(2005)02-0187-06 |
| 收稿时间： | 2003-03-10 |
| 修稿时间： | 2003-03-10 |
Form Invariance and Lie Symmetry of Variable Mass Nonholonomic Mechanical System |
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| FANG Jian-hui,CHEN Pei-sheng,ZHANG Jun. Form Invariance and Lie Symmetry of Variable Mass Nonholonomic Mechanical System[J]. Applied Mathematics and Mechanics, 2005, 26(2): 187-192 |
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| Authors: | FANG Jian-hui CHEN Pei-sheng ZHANG Jun |
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| Affiliation: | Department of Applied Physics, University of Petroleum, Dongying, Shangdong 257061, P. R. China |
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| Abstract: | The form invariance and Lie symmetry of a variable mass nonholonomic mechanical system is studied. The definition and the criterion and the conserved quantity of form invariance and Lie symmetry for the variable mass nonholonomic mechanical system are given. The relation between the form invariance and Lie symmetry is obtained. An example is given to illustrate the application of the result. |
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| Keywords: | variable mass nonholonomic system form invariance Lie symmetry |
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