中国物理B ›› 2002, Vol. 11 ›› Issue (8): 765-770.doi: 10.1088/1009-1963/11/8/303

• GENERAL • 上一篇    下一篇

Lie symmetries and conserved quantities of Birkhoff systems with unilateral constraints

张宏彬, 顾书龙   

  1. Department of Physics, Chaohu Teachers College, Chaohu 238000, China
  • 收稿日期:2001-09-19 修回日期:2002-04-19 出版日期:2005-06-12 发布日期:2005-06-12
  • 基金资助:
    Project supported by the Education Foundation of Anhui Province, China (Grant No 2002KJ230).

Lie symmetries and conserved quantities of Birkhoff systems with unilateral constraints

Zhang Hong-Bin (张宏彬), Gu Shu-Long (顾书龙)   

  1. Department of Physics, Chaohu Teachers College, Chaohu 238000, China
  • Received:2001-09-19 Revised:2002-04-19 Online:2005-06-12 Published:2005-06-12
  • Supported by:
    Project supported by the Education Foundation of Anhui Province, China (Grant No 2002KJ230).

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摘要： 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.

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.

Key words: analytical mechanics, Birkhoff systems with unilateral constraints, Lie symmetry, conserved quantity, inverse problem

中图分类号:  (Inverse problems)

  • 02.30.Zz
02.20.Qs (General properties, structure, and representation of Lie groups) 02.30.Hq (Ordinary differential equations)