Integrating factors and conservation theorems of constrained Birkhoffian systems |
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Authors: | Qiao Yong-Fen Zhao Shu-Hong and Li Ren-Jie |
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Institution: | Engineering College of Northeast Agricultural University, Harbin 150030, China; Faculty of Science, Laiyang Agricultural College, Laiyang 265200, China |
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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. |
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Keywords: | integration factor conservation theorem constrained Birkhoffian system |
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