Type of integral and reduction for a generalized Birkhoffian system

doi:10.1088/1674-1056/20/10/104501

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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