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

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10.1088/1674-1056/19/3/030303

Cite this

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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.",

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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.

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KW - Non-Chetaev's type constraint

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KW - Symmetry of Lagrangians

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

Abstract

Keywords

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