Symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type

Hui Bin Wu; Feng Xiang Mei

doi:10.1088/1674-1056/19/3/030303

Symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type

Hui Bin Wu^*
, Feng Xiang Mei

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

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

10 Citations (Scopus)

Abstract

This paper studies the symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type. First, the definition and the criterion of the symmetry of the system are given. Secondly, it obtains the condition under which there exists a conserved quantity and the form of the conserved quantity. Finally, an example is shown to illustrate the application of the result.

Original language	English
Article number	030303
Journal	Chinese Physics B
Volume	19
Issue number	3
DOIs	https://doi.org/10.1088/1674-1056/19/3/030303
Publication status	Published - 2010

Keywords

Conserved quantity
Non-Chetaev's type constraint
Nonholonomic system
Symmetry of Lagrangians

Access to Document

10.1088/1674-1056/19/3/030303

Cite this

@article{ff2a3cace9c64722b717fc2dad698358,

title = "Symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type",

abstract = "This paper studies the symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type. First, the definition and the criterion of the symmetry of the system are given. Secondly, it obtains the condition under which there exists a conserved quantity and the form of the conserved quantity. Finally, an example is shown to illustrate the application of the result.",

keywords = "Conserved quantity, Non-Chetaev's type constraint, Nonholonomic system, Symmetry of Lagrangians",

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

year = "2010",

doi = "10.1088/1674-1056/19/3/030303",

language = "English",

volume = "19",

journal = "Chinese Physics B",

issn = "1674-1056",

publisher = "Institute of Physics",

number = "3",

}

TY - JOUR

T1 - Symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type

AU - Wu, Hui Bin

AU - Mei, Feng Xiang

PY - 2010

Y1 - 2010

N2 - This paper studies the symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type. First, the definition and the criterion of the symmetry of the system are given. Secondly, it obtains the condition under which there exists a conserved quantity and the form of the conserved quantity. Finally, an example is shown to illustrate the application of the result.

AB - This paper studies the symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type. First, the definition and the criterion of the symmetry of the system are given. Secondly, it obtains the condition under which there exists a conserved quantity and the form of the conserved quantity. Finally, an example is shown to illustrate the application of the result.

KW - Conserved quantity

KW - Non-Chetaev's type constraint

KW - Nonholonomic system

KW - Symmetry of Lagrangians

UR - https://www.scopus.com/pages/publications/77949701328

U2 - 10.1088/1674-1056/19/3/030303

DO - 10.1088/1674-1056/19/3/030303

M3 - Article

AN - SCOPUS:77949701328

SN - 1674-1056

VL - 19

JO - Chinese Physics B

JF - Chinese Physics B

IS - 3

M1 - 030303

ER -

Symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this