Symmetries and conserved quantities of constrained mechanical systems

F. X. Mei; H. B. Wu; Y. F. Zhang

doi:10.1007/s40435-013-0043-8

Symmetries and conserved quantities of constrained mechanical systems

F. X. Mei
, H. B. Wu^*
, Y. F. Zhang

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

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

34 Citations (Scopus)

Abstract

This is a concise review of the symmetries and conserved quantities of the constrained mechanical systems. It deals with three kinds of symmetries: the Noether symmetry, the Lie symmetry and the form invariance, and three kinds of conserved quantities: the Noether conserved quantity, the Hojman type conserved quantity and the new conserved quantity.

Original language	English
Pages (from-to)	285-303
Number of pages	19
Journal	International Journal of Dynamics and Control
Volume	2
Issue number	3
DOIs	https://doi.org/10.1007/s40435-013-0043-8
Publication status	Published - 1 Sept 2014

Keywords

Conserved quantity
Constrained mechanical system
Symmetry

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10.1007/s40435-013-0043-8

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title = "Symmetries and conserved quantities of constrained mechanical systems",

abstract = "This is a concise review of the symmetries and conserved quantities of the constrained mechanical systems. It deals with three kinds of symmetries: the Noether symmetry, the Lie symmetry and the form invariance, and three kinds of conserved quantities: the Noether conserved quantity, the Hojman type conserved quantity and the new conserved quantity.",

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N2 - This is a concise review of the symmetries and conserved quantities of the constrained mechanical systems. It deals with three kinds of symmetries: the Noether symmetry, the Lie symmetry and the form invariance, and three kinds of conserved quantities: the Noether conserved quantity, the Hojman type conserved quantity and the new conserved quantity.

AB - This is a concise review of the symmetries and conserved quantities of the constrained mechanical systems. It deals with three kinds of symmetries: the Noether symmetry, the Lie symmetry and the form invariance, and three kinds of conserved quantities: the Noether conserved quantity, the Hojman type conserved quantity and the new conserved quantity.

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KW - Symmetry

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Symmetries and conserved quantities of constrained mechanical systems

Abstract

Keywords

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