The approximate conserved quantity of the weakly nonholonomic mechanical-electrical system

doi:10.1088/1674-1056/20/7/070203

Abstract We study the approximate conserved quantity of the weakly nonholonomic mechanical-electrical system. By means of the Lagrange—Maxwell equation, the Noether equality of the weakly nonholonomic mechanical-electrical system is obtained. The multiple powers-series expansion of the parameter of the generators of infinitesimal transformations and the gauge function is put into a generalized Noether identity. Using the Noether theorem, we obtain an approximate conserved quantity. An example is provided to prove the existence of the approximate conserved quantity.

Keywords: weakly nonholonomic mechanical-electrical system Noether theorem approximate conserved quantity

Received: 20 November 2010
Revised: 24 March 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)

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Liu Xiao-Wei(刘晓巍), Li Yuan-Cheng(李元成), and Xia Li-Li(夏丽莉) The approximate conserved quantity of the weakly nonholonomic mechanical-electrical system 2011 Chin. Phys. B 20 070203

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