Birkhoff symmetry and Lagrange symmetry

Feng Xiang Mei; Hui Bin Wu

doi:10.15918/j.jbit1004-0579.201524.0101

Birkhoff symmetry and Lagrange symmetry

Feng Xiang Mei, Hui Bin Wu^*

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

The purpose of this paper is to study the symmetry of first order Lagrangians and the corresponding conserved quantity. The relation between the Lagrangians and the Birkhoff's functions and the Birkhoff symmetry of Birkhoffian systems are used to obtain the symmetry of first order Lagrangians and the corresponding conserved quantity. Two examples are given to illustrate the application of the result.

Original language	English
Pages (from-to)	1-3
Number of pages	3
Journal	Journal of Beijing Institute of Technology (English Edition)
Volume	24
Issue number	1
DOIs	https://doi.org/10.15918/j.jbit1004-0579.201524.0101
Publication status	Published - 1 Mar 2015

Keywords

Birkhoffian system
Conserved quantity
First order Lagrangian
Symmetry

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10.15918/j.jbit1004-0579.201524.0101

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AB - The purpose of this paper is to study the symmetry of first order Lagrangians and the corresponding conserved quantity. The relation between the Lagrangians and the Birkhoff's functions and the Birkhoff symmetry of Birkhoffian systems are used to obtain the symmetry of first order Lagrangians and the corresponding conserved quantity. Two examples are given to illustrate the application of the result.

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KW - Conserved quantity

KW - First order Lagrangian

KW - Symmetry

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Birkhoff symmetry and Lagrange symmetry

Abstract

Keywords

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