Lie-form invariance of the Lagrange system

Hui Bin Wu

doi:10.1088/1009-1963/14/3/002

Lie-form invariance of the Lagrange system

Hui Bin Wu^*

^*此作品的通讯作者

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

32 引用（Scopus）

摘要

In this paper, the Lie-form invariance of the Lagrange system is studied. The definition and the criterion of the Lie-form invariance of the Lagrange system are given. The Hojman conserved quantity and a new type of conserved quantity deduced from the Lie-form invariance are obtained. Finally, two examples are presented to illustrate the application of the results.

源语言	英语
页（从-至）	452-454
页数	3
期刊	Chinese Physics
卷	14
期	3
DOI	https://doi.org/10.1088/1009-1963/14/3/002
出版状态	已出版 - 3月 2005

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title = "Lie-form invariance of the Lagrange system",

abstract = "In this paper, the Lie-form invariance of the Lagrange system is studied. The definition and the criterion of the Lie-form invariance of the Lagrange system are given. The Hojman conserved quantity and a new type of conserved quantity deduced from the Lie-form invariance are obtained. Finally, two examples are presented to illustrate the application of the results.",

keywords = "Analytical mechanics, Conserved quantity, Lagrange system, Symmetry",

author = "Wu, \{Hui Bin\}",

year = "2005",

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doi = "10.1088/1009-1963/14/3/002",

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T1 - Lie-form invariance of the Lagrange system

AU - Wu, Hui Bin

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N2 - In this paper, the Lie-form invariance of the Lagrange system is studied. The definition and the criterion of the Lie-form invariance of the Lagrange system are given. The Hojman conserved quantity and a new type of conserved quantity deduced from the Lie-form invariance are obtained. Finally, two examples are presented to illustrate the application of the results.

AB - In this paper, the Lie-form invariance of the Lagrange system is studied. The definition and the criterion of the Lie-form invariance of the Lagrange system are given. The Hojman conserved quantity and a new type of conserved quantity deduced from the Lie-form invariance are obtained. Finally, two examples are presented to illustrate the application of the results.

KW - Analytical mechanics

KW - Conserved quantity

KW - Lagrange system

KW - Symmetry

UR - https://www.scopus.com/pages/publications/24144439060

U2 - 10.1088/1009-1963/14/3/002

DO - 10.1088/1009-1963/14/3/002

M3 - Article

AN - SCOPUS:24144439060

SN - 1009-1963

VL - 14

SP - 452

EP - 454

JO - Chinese Physics

JF - Chinese Physics

IS - 3

ER -

Lie-form invariance of the Lagrange system

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