Symmetry of Lagrangians of nonholonomic systems

Feng Xiang Mei; Hui Bin Wu

doi:10.1016/j.physleta.2007.11.030

Symmetry of Lagrangians of nonholonomic systems

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

15 Citations (Scopus)

Abstract

In this Letter, a new symmetry of nonholonomic systems is put forward. Firstly, the definition and the criterion of the symmetry are given. Secondly, the condition under which the symmetry can lead to a conserved quantity is presented. Finally, two examples are shown to illustrate the application of the results.

Original language	English
Pages (from-to)	2141-2147
Number of pages	7
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	372
Issue number	13
DOIs	https://doi.org/10.1016/j.physleta.2007.11.030
Publication status	Published - 24 Mar 2008

Keywords

Conserved quantity
Nonholonomic system
Symmetry
Symmetry of Lagrangians

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10.1016/j.physleta.2007.11.030

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title = "Symmetry of Lagrangians of nonholonomic systems",

abstract = "In this Letter, a new symmetry of nonholonomic systems is put forward. Firstly, the definition and the criterion of the symmetry are given. Secondly, the condition under which the symmetry can lead to a conserved quantity is presented. Finally, two examples are shown to illustrate the application of the results.",

keywords = "Conserved quantity, Nonholonomic system, Symmetry, Symmetry of Lagrangians",

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AU - Wu, Hui Bin

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KW - Nonholonomic system

KW - Symmetry

KW - Symmetry of Lagrangians

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ER -

Symmetry of Lagrangians of nonholonomic systems

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Keywords

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