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^*

^*此作品的通讯作者

数学学院

Beijing Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	1-3
页数	3
期刊	Journal of Beijing Institute of Technology (English Edition)
卷	24
期	1
DOI	https://doi.org/10.15918/j.jbit1004-0579.201524.0101
出版状态	已出版 - 1 3月 2015

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Mei, F. X., & Wu, H. B. (2015). Birkhoff symmetry and Lagrange symmetry. Journal of Beijing Institute of Technology (English Edition), 24(1), 1-3. https://doi.org/10.15918/j.jbit1004-0579.201524.0101

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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.",

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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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Birkhoff symmetry and Lagrange symmetry

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