| 二阶线性单面非完整系统的Lie对称性与守恒量 |
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| 引用本文： | 梁景辉.二阶线性单面非完整系统的Lie对称性与守恒量[J].科技通报,2000,16(4):260-264. |
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| 作者姓名： | 梁景辉 |
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| 作者单位： | 山西师范大学物理系,山西,临汾,041004 |
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| 基金项目： | 高校博士学科点专项基金资助项目 |
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| 摘 要： | 研究二阶线性单面非完整系统的Ｌｉｅ对称性与守恒量。利用运动微分方程在无限小变换下的不变性，建立Ｌｉｅ对称性所满足的确定方程和限制方程，给出了结构方程和守恒量，讨论了二阶线性单非完整系统的Ｌｉｅ对称性逆问题，并举例说明结果的应用。
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| 关 键 词： | 单面约束 非完整系统 Lie对称性 守恒量 线性 |
Lie Symmetries and Conserved Quantities of Second-order Linear Nonholonomic Systems with Unilateral Constraints |
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| LIANG Jing-hui.Lie Symmetries and Conserved Quantities of Second-order Linear Nonholonomic Systems with Unilateral Constraints[J].Bulletin of Science and Technology,2000,16(4):260-264. |
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| Authors: | LIANG Jing-hui |
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| Abstract: | Lie symmetries and conserved quantities of second order linear nonholonomic system with unilateral constraints are studied in the paper.Firstly,by using the invarance of the ordinary differential equations under the infinitesimal transformations the determining equations and the restriction equations of the Lie symmetries of the systems are establised,and the structure equations and the conserved quantities are given.Secondly,the inverse problem of Lie symmetries of second order linear nonholonomic systems with unilateral constraints was studied.Finally,an example to illustrate the application of the result was given. |
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| Keywords: | analytical mechanics unilateral constraint nonholonomic system Lie symmetry conserved quantity |
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