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Chin. Phys. B, 2011, Vol. 20(10): 104501    DOI: 10.1088/1674-1056/20/10/104501
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Type of integral and reduction for a generalized Birkhoffian system

Wu Hui-Bin(吴惠彬) and Mei Feng-Xiang(梅凤翔)
Faculty of Science, Beijing Institute of Technology, Beijing 100081, China
Abstract  This paper studies a type of integral and reduction of the generalized Birkhoffian system. An existent condition and the form of the integral are obtained. By using the integral, the dimension of the system can be reduced two degrees. An example is given to illustrate the application of the results.
Keywords:  generalized Birkhoffian system      integral      reduction  
Received:  15 March 2011      Revised:  24 April 2011      Accepted manuscript online: 
PACS:  45.20.Jj (Lagrangian and Hamiltonian mechanics)  
  11.30.-j (Symmetry and conservation laws)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10772025, 10932002, and 10972031) and the Beijing Municipal Key Disciplines Fund for General Mechanics and Foundation of Mechanics.

Cite this article: 

Wu Hui-Bin(吴惠彬) and Mei Feng-Xiang(梅凤翔) Type of integral and reduction for a generalized Birkhoffian system 2011 Chin. Phys. B 20 104501

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