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

Access to Document

10.1016/j.physleta.2007.11.030

Cite this

@article{def3db500fcb44fb97d46c0ddd94ad5e,

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",

author = "Mei, \{Feng Xiang\} and Wu, \{Hui Bin\}",

year = "2008",

month = mar,

day = "24",

doi = "10.1016/j.physleta.2007.11.030",

language = "English",

volume = "372",

pages = "2141--2147",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

publisher = "Elsevier B.V.",

number = "13",

}

TY - JOUR

T1 - Symmetry of Lagrangians of nonholonomic systems

AU - Mei, Feng Xiang

AU - Wu, Hui Bin

PY - 2008/3/24

Y1 - 2008/3/24

N2 - 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.

AB - 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.

KW - Conserved quantity

KW - Nonholonomic system

KW - Symmetry

KW - Symmetry of Lagrangians

UR - https://www.scopus.com/pages/publications/39849083949

U2 - 10.1016/j.physleta.2007.11.030

DO - 10.1016/j.physleta.2007.11.030

M3 - Article

AN - SCOPUS:39849083949

SN - 0375-9601

VL - 372

SP - 2141

EP - 2147

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 13

ER -

Symmetry of Lagrangians of nonholonomic systems

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this