| 相空间中具有三阶线性单面约束非完整系统的Lie对称性与守恒量 |
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| 引用本文： | 楼智美.相空间中具有三阶线性单面约束非完整系统的Lie对称性与守恒量[J].北京理工大学学报,2004,24(11):1030-1032. |
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| 作者姓名： | 楼智美 |
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| 作者单位： | 绍兴文理学院物理系,浙江,绍兴,312000 |
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| 摘 要： | 研究相空间中具有三阶线性单面约束的非完整系统的Lie对称性与守恒量.由微分方程在无限小变换下的不变性得到Lie对称性所满足的确定方程和限制方程,给出结构方程和守恒量,讨论了系统的Lie对称性逆问题,并举例说明结果的应用.
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| 关 键 词： | 相空间 单面约束 非完整系统 Lie对称性 守恒量 相空间 线性 单面约束 非完整系统 对称性与守恒量 Phase Space Unilateral Constraint Nonholonomic Systems Linear Conserved Quantities 应用 结果 逆问题 结构方程 限制方程 确定方程 不变性 变换 无限 微分方程 |
| 文章编号： | 1001-0645(2004)11-1030-03 |
| 收稿时间： | 2004/12/28 0:00:00 |
| 修稿时间： | 2004年12月28日 |
Lie Symmetries and Conserved Quantities of Third-Order Linear Nonholonomic Systems with Unilateral Constraint in a Phase Space |
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| LOU Zhi-mei.Lie Symmetries and Conserved Quantities of Third-Order Linear Nonholonomic Systems with Unilateral Constraint in a Phase Space[J].Journal of Beijing Institute of Technology(Natural Science Edition),2004,24(11):1030-1032. |
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| Authors: | LOU Zhi-mei |
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| Institution: | Department of Physics, Shaoxing College of Arts and Sciences, Shaoxing,Zhejiang312000, China |
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| Abstract: | Lie symmetries and conserved quantities of third-order nonholonomic systems with unilateral constraint in phase space are studied. The determining equations and the restriction equations of the Lie symmetries of the systems are obtained, and the structural equations and the conserved quantities are given using the invariance of the ordinary differential equations under the infinitesimal transformations. The inverse problem of Lie symmetries of the systems is also studied, and an example is given to illustrate the application of the results. |
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| Keywords: | phase space unilateral constraint nonholonomic system Lie symmetry conserved quantity |
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