| 时间尺度上奇异非保守Lagrange系统的Lie对称性和守恒量 |
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| 引用本文： | 陈志炜,朱建青.时间尺度上奇异非保守Lagrange系统的Lie对称性和守恒量[J].吉林大学学报(理学版),2002,58(1):158-161. |
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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： | 基于微分方程在无限小变换下的不变性, 研究时间尺度上奇异非保守Lagrange系统的Lie对称性和守恒量. 首先, 在时间尺度上建立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, 建立Lie对称性的守恒量; 最后举例说明结果的应用.
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| 关 键 词： | 奇异系统 时间尺度 Lagrange系统 Lie对称性 守恒量 |
| 收稿时间： | 2018-03-28 |
Lie Symmetry and Conserved Quantity for Singular Non conservative Lagrangian System on Time Scales |
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| CHEN Zhiwei,ZHU Jianqing.Lie Symmetry and Conserved Quantity for Singular Non conservative Lagrangian System on Time Scales[J].Journal of Jilin University: Sci Ed,2002,58(1):158-161. |
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| Authors: | CHEN Zhiwei ZHU Jianqing |
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| Institution: | College of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou 215009, Jiangsu Province, China
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| Abstract: | Based on the invariance of differential equation under infinitesimal transformation, we studied Lie symmetry and conserved quantity for a singular non conservative Lagrangian system on time scales. Firstly, we established the differential equation of motion on time scales. Secondly, based on the invariance of differential equations under infinitesimal transformations on time scales, we established the conserved quantity of the Lie symmetry on time scale. Finally, we gave an example to illustrate the application of the result. |
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| Keywords: | singular system time scale Lagrangian system Lie symmetry conserved quantity |
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