| 时间尺度上奇异Chetaev型非完整力学系统的Lie对称性 |
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| 引用本文： | 陈志炜,朱建青.时间尺度上奇异Chetaev型非完整力学系统的Lie对称性[J].华中师范大学学报(自然科学版),2019,53(3):335-338. |
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| 作者姓名： | 陈志炜 朱建青 |
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| 作者单位： | 苏州科技大学数理学院， 江苏 苏州 215009 |
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| 摘 要： | 研究了时间尺度上奇异Chetaev型非完整力学系统的Lie对称性与守恒量问题.首先，建立了系统的运动微分方程.其次，基于时间尺度上微分方程在无限小变换下的不变性，给出了时间尺度上奇异Chetaev型非完整系统Lie对称性的确定方程和限制方程.最后，建立时间尺度上奇异Chetaev型非完整系统Lie对称性的结构方程，给出了Lie对称性的守恒量，并举例说明结果的应用.
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| 关 键 词： | 时间尺度 奇异 Chetaev型 Lie对称性 守恒量 |
| 收稿时间： | 2019-06-03 |
Lie symmetry and conserved quantity for singular nonholonomic systems of Chetaev's type on time scales |
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| CHEN Zhiwei,ZHU Jianqing.Lie symmetry and conserved quantity for singular nonholonomic systems of Chetaev's type on time scales[J].Journal of Central China Normal University(Natural Sciences),2019,53(3):335-338. |
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| Authors: | CHEN Zhiwei ZHU Jianqing |
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| Institution: | School of Mathematics and Physics， Suzhou University of Science and Technology， Suzhou， Jiangsu 215009， China |
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| Abstract: | The Lie symmetry and conserved quantities of singular nonholonomic systems of Chetaev's type on time scales were studied. Firstly， the motion differential equations were established. Secondly， based on the invariance of differential equations under infinitesimal transformation on time scales， we gave the determining equation and the limiting equation of Lie symmetry for singular nonholonomic systems of Chetaev's type on time scales. Finally， a structural equation was established， and the conservation of Lie symmetry was given. At the end of the paper， an example was given to illustrate the application of the theorem. |
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| Keywords: | time scales singular Chetaev's type Lie symmetry conserved quantity |
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