Noether-Mei symmetry and conserved quantity of Birkhoffian system

WANG Xueping; ZHANG Yi

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Noether-Mei symmetry and conserved quantity of Birkhoffian system

更新时间：2023-12-11

- Noether-Mei symmetry and conserved quantity of Birkhoffian system
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 55, Issue 4, Pages: 53-55(2016)
- 作者机构：
  
  苏州科技大学数理学院，江苏苏州215009 苏州科技大学土木工程学院,江苏,苏州,215011
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2016，
  
  Published Online：25 July 2016，
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WANG Xueping, ZHANG Yi. Noether-Mei symmetry and conserved quantity of Birkhoffian system. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 55(4):53-55(2016)
DOI：

WANG Xueping, ZHANG Yi. Noether-Mei symmetry and conserved quantity of Birkhoffian system. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 55(4):53-55(2016) DOI：

摘要

研究Birkhoff系统Noether-Mei对称性与守恒量。给出Birkhoff系统Noether-Mei对称性的定义和判据，研究了Birkhoff系统的Noether-Mei对称性导致的Noether守恒量和Mei守恒量的条件及其形式，建立了两个Noether-Mei对称性定理，并举例说明结果的应用。

Abstract

The Noether-Mei symmetry and the conserved quantity of a Birkhoffian system are studied. The definition and the criteria of the Noether-Mei symmetry of the system are given. The conditions that the Noether-Mei symmetry leads to the Noether conserved quantity or the Mei conserved quantity and the form of the conserved quantities are obtained. Two theorems for the Noether-Mei symmetry and the conserved quantity are established. At the end

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

关键词

Birkhoff系统Noether-Mei对称性Noether守恒量Mei守恒量

Keywords

Birkhoffian systemNoether-Mei symmetryNoether conserved quantityMei conserved quantity

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Related Author

SONG Jing

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

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