Form invariance and approximate conserved quantity of Appell equations for a weakly nonholonomic system

doi:10.1088/1674-1056/21/7/070204

Abstract A weakly nonholonomic system is a nonholonomic system whose constraint equations contain a small parameter. The form invariance and the approximate conserved quantity of the Appell equations for a weakly nonholonomic system are studied. The Appell equations for the weakly nonholonomic system are established, and the definition and the criterion of form invariance of the system are given. The structure equation of form invariance for the weakly nonholonomic system and the approximate conserved quantity deduced from the form invariance of the system are obtained. Finally, an example is given to illustrate the application of the results.

Keywords: weakly nonholonomic system Appell equations form invariance approximate conserved quantity

Received: 26 November 2011
Revised: 22 December 2011
Accepted manuscript online:

PACS:	02.20.Sv	(Lie algebras of Lie groups)
	11.30.-j	(Symmetry and conservation laws)
	45.20.Jj	(Lagrangian and Hamiltonian mechanics)
	03.50.-z	(Classical field theories)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11142014 and 61178032).

Corresponding Authors: Jia Li-Qun
E-mail: jlq0000@163.com

Cite this article:

Jia Li-Qun(贾利群), Zhang Mei-Ling(张美玲), Wang Xiao-Xiao(王肖肖), and Han Yue-Lin(韩月林) Form invariance and approximate conserved quantity of Appell equations for a weakly nonholonomic system 2012 Chin. Phys. B 21 070204

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Form invariance and approximate conserved quantity of Appell equations for a weakly nonholonomic system

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