中国物理B ›› 2006, Vol. 15 ›› Issue (12): 2777-2781.doi: 10.1088/1009-1963/15/12/002

• GENERAL • 上一篇    下一篇

Integrating factors and conservation theorems of constrained Birkhoffian systems

乔永芬1, 赵淑红1, 李仁杰2   

  1. (1)Engineering College of Northeast Agricultural University, Harbin 150030, China; (2)Faculty of Science, Laiyang Agricultural College, Laiyang 265200, China
  • 收稿日期:2006-01-04 修回日期:2006-03-14 出版日期:2006-12-20 发布日期:2006-12-20
  • 基金资助:
    Project supported by the Heilongjiang Natural Science Foundation of China Grant No 9507)

Integrating factors and conservation theorems of constrained Birkhoffian systems

Qiao Yong-Fen(乔永芬)a), Zhao Shu-Hong(赵淑红)a), and Li Ren-Jie(李仁杰)b)   

  1. a Engineering College of Northeast Agricultural University, Harbin 150030, China; b Faculty of Science, Laiyang Agricultural College, Laiyang 265200, China
  • Received:2006-01-04 Revised:2006-03-14 Online:2006-12-20 Published:2006-12-20
  • Supported by:
    Project supported by the Heilongjiang Natural Science Foundation of China Grant No 9507)

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摘要： In this paper the conservation theorems of the constrained Birkhoffian systems are studied by using the method of integrating factors. The differential equations of motion of the system are written. The definition of integrating factors is given for the system. The necessary conditions for the existence of the conserved quantity for the system are studied. The conservation theorem and its inverse for the system are established. Finally, an example is given to illustrate the application of the results.

Abstract: In this paper the conservation theorems of the constrained Birkhoffian systems are studied by using the method of integrating factors. The differential equations of motion of the system are written. The definition of integrating factors is given for the system. The necessary conditions for the existence of the conserved quantity for the system are studied. The conservation theorem and its inverse for the system are established. Finally, an example is given to illustrate the application of the results.

Key words: integration factor, conservation theorem, constrained Birkhoffian system

中图分类号:  (Partial differential equations)

  • 02.30.Jr
45.30.+s (General linear dynamical systems)