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Chin. Phys. B, 2011, Vol. 20(7): 070204    DOI: 10.1088/1674-1056/20/7/070204
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Lie–Mei symmetry and conserved quantities of the Rosenberg problem

Liu Xiao-Wei, Li Yuan-Cheng
College of Physics Science and Technology, China University of Petroleum (East China), Qingdao 266555, China
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      Published:  15 July 2011
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, Li Yuan-Cheng Lie–Mei symmetry and conserved quantities of the Rosenberg problem 2011 Chin. Phys. B 20 070204

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