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)
a Engineering College of Northeast Agricultural University, Harbin 150030, China; b Faculty of Science, Laiyang Agricultural College, Laiyang 265200, China
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.
Received: 04 January 2006
Revised: 14 March 2006
Accepted manuscript online:
Fund: Project supported by the Heilongjiang Natural Science Foundation of China Grant No 9507)
Cite this article:
Qiao Yong-Fen(乔永芬), Zhao Shu-Hong(赵淑红), and Li Ren-Jie(李仁杰) Integrating factors and conservation theorems of constrained Birkhoffian systems 2006 Chinese Physics 15 2777
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