Lie symmetries and Noether conserved quantities of generalized nonholonomic mechanical systems

Dong Wen-Shan; Huang Bao-Xin

doi:10.7498/aps.59.1

Abstract
In this paper we study the Lie symmetries and Noether conserved quantities of generalized nonholonomic mechanical systems， and establish the determining equations， the restriction equations and the additional restriction equations. The structure equation and the form of Noether conserved quantities are obtained. The inverse problems of Lie symmetries are discussed and an example to illustrate the application of the result is given.

Keywords:
generalized nonholonomic mechanics /

Lie symmetries /

conserved quantity
Authors and contacts
Dong Wen-Shan,

Huang Bao-Xin

1.
潍坊学院物理与电子科学系，潍坊 261061
References

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Vol. 59, Issue 1 - 2010-01-05

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Lie symmetries and Noether conserved quantities of generalized nonholonomic mechanical systems

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Lie symmetries and Noether conserved quantities of generalized nonholonomic mechanical systems

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