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Chinese Physics, 2002, Vol. 11(8): 765-770    DOI: 10.1088/1009-1963/11/8/303
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Lie symmetries and conserved quantities of Birkhoff systems with unilateral constraints

Zhang Hong-Bin (张宏彬), Gu Shu-Long (顾书龙)
Department of Physics, Chaohu Teachers College, Chaohu 238000, China
Abstract  In this paper we study the Lie symmetries of Birkhoff systems with unilateral constraints. We give the conditions for, and the form of, conserved quantities due to the Lie symmetries of the systems, and we also study the inverse problem of the Lie symmetries of the systems. Finally, an example is given to illustrate the application of the results.
Keywords:  analytical mechanics      Birkhoff systems with unilateral constraints      Lie symmetry      conserved quantity      inverse problem  
Received:  19 September 2001      Revised:  19 April 2002      Accepted manuscript online: 
PACS:  02.30.Zz (Inverse problems)  
  02.20.Qs (General properties, structure, and representation of Lie groups)  
  02.30.Hq (Ordinary differential equations)  
Fund: Project supported by the Education Foundation of Anhui Province, China (Grant No 2002KJ230).

Cite this article: 

Zhang Hong-Bin (张宏彬), Gu Shu-Long (顾书龙) Lie symmetries and conserved quantities of Birkhoff systems with unilateral constraints 2002 Chinese Physics 11 765

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