The Lie symmetry and conserved quantity for nonholonomic systems of non-Chetaev's type on time scales

LIN Wei; ZHU Jianqing

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The Lie symmetry and conserved quantity for nonholonomic systems of non-Chetaev's type on time scales

更新时间：2023-12-11

- The Lie symmetry and conserved quantity for nonholonomic systems of non-Chetaev's type on time scales
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 57, Issue 2, Pages: 76-79(2018)
- 作者机构：
  
  苏州科技大学数理学院,江苏,苏州,215009
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2018，
  
  Published Online：25 March 2018，
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LIN Wei, ZHU Jianqing. The Lie symmetry and conserved quantity for nonholonomic systems of non-Chetaev's type on time scales. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 57(2):76-79(2018)
DOI：

LIN Wei, ZHU Jianqing. The Lie symmetry and conserved quantity for nonholonomic systems of non-Chetaev's type on time scales. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 57(2):76-79(2018) DOI：

摘要

研究了时间尺度上非Chetaev型非完整系统的Lie对称性及其守恒量。首先，给出了时间尺度上非Chetaev型非完整系统的运动微分方程；然后，基于微分方程在无限小变换下的不变性，得到了确定方程，给出了非Chetaev型非完整系统下的限制方程，进而建立了时间尺度上非Chetaev型非完整系统的Lie对称性及其守恒量；最后，举例说明其结果的应用。

Abstract

The Lie symmetry and conserved quantity for nonholonomic systems of non-Chetaev's type on time scales are studied. Firstly

the differential equations of motion for nonholonomic systems of non-Chetaev's type on time scales are given. Secondly

based on the invariance of differential equation under the infinitesimal transformations

the determinating equation is established and the restriction equations for nonholonomic systems of non-Chetaev's type are given. Then

the Lie theorem and conserved quantity for nonholonomic systems of non-Chetaev's type on time scales are built. Finally

an example is given to illustrate the application of the results.

关键词

时间尺度非Chetaev型非完整系统Lie对称性守恒量

Keywords

time scalesnon-Chetaev's typenonholonomic systemsLie symmetryconserved quantity

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Related Author

ZU Qihang

ZHU Jianqing

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HAN Zhenlai

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Related Institution

College of Mathematics and Physics, Suzhou University of Science and Technology

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College of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou

School of Sciences, University of Jinan

College of Civil Engineering, Suzhou University of Science and Technology, Suzhou

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