Noether theorem for nonholonomic mechanical systems of Nabla variational problem on time scales

ZU Qihang; ZHU Jianqing

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Noether theorem for nonholonomic mechanical systems of Nabla variational problem on time scales

更新时间：2023-12-11

- Noether theorem for nonholonomic mechanical systems of Nabla variational problem on time scales
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 56, Issue 1, Pages: 58-65(2017)
- 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：2017，
  
  Published Online：25 January 2017，
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ZU Qihang, ZHU Jianqing. Noether theorem for nonholonomic mechanical systems of Nabla variational problem on time scales. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 56(1):58-65(2017)
DOI：

ZU Qihang, ZHU Jianqing. Noether theorem for nonholonomic mechanical systems of Nabla variational problem on time scales. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 56(1):58-65(2017) DOI：

摘要

研究了时间尺度上Nabla变分问题的非完整力学系统的Noether理论。根据时间尺度上的微积分理论和Delta导数与Nabla导数之间关系，建立了时间尺度上Nabla导数的非完整Lagrange方程。根据时间尺度上Nabla变分问题的Hamilton作用量在无限小变换下的变换性质，建立了Nabla变分问题的非完整力学系统的Noether等式，并找到了相应的守恒量。最后，举例说明结果的应用。

Abstract

The Noether theorem for nonholonomic mechanical systems of Nabla variational problem on time scales is studied. Firstly

based on the relationship between the Delta calculus and the Nabla calculus on time scales and the theory of time scale

the nonholonomic Lagrange equation for Nabla variational problem on time scales is established. Secondly

according to invariance of the Hamilton action under the infinitesimal transformation of Nabla variational problem on time scales

the Noether identity for nonholonomic mechanical systems is established

and the corresponding Noether conserved quantity is obtained. Finally

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

关键词

时间尺度Nabla变分非完整系统Noether等式守恒量

Keywords

time scalesNabla variationnonholonomic systemsNoether identityconserved quantity

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Related Institution

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



School of Sciences, University of Jinan

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

College of Civil Engineering, Suzhou University of Science and Technology

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