Lie–Mei symmetry and conserved quantities of the Rosenberg problem

doi:10.1088/1674-1056/20/7/070204

Abstract The Rosenberg problem is a typical but not too complicated problem of nonholonomic mechanical systems. The Lie—Mei symmetry and the conserved quantities of the Rosenberg problem are studied. For the Rosenberg problem, the Lie and the Mei symmetries for the equation are obtained, the conserved quantities are deduced from them and then the definition and the criterion for the Lie—Mei symmetry of the Rosenberg problem are derived. Finally, the Hojman conserved quantity and the Mei conserved quantity are deduced from the Lie—Mei symmetry.

Keywords: nonholonomic systems Rosenberg problem Lie—Mei symmetry conserved quantity

Received: 26 November 2010
Revised: 27 January 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)

Cite this article:

Liu Xiao-Wei(刘晓巍) and Li Yuan-Cheng(李元成) Lie–Mei symmetry and conserved quantities of the Rosenberg problem 2011 Chin. Phys. B 20 070204

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