中国物理B ›› 2011, Vol. 20 ›› Issue (7): 70204-070204.doi: 10.1088/1674-1056/20/7/070204
刘晓巍, 李元成
Liu Xiao-Wei(刘晓巍) and Li Yuan-Cheng(李元成)†
摘要: 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.
中图分类号: (Lie algebras of Lie groups)