Form invariance and new conserved quantity of generalised Birkhoffian system

doi:10.1088/1674-1056/19/5/050301

Abstract A form invariance and a conserved quantity of the generalised Birkhoffian system are studied. Firstly, a definition and a criterion of the form invariance are given. Secondly, through the form invariance, a new conserved quantity can be deduced. Finally, an example is given to illustrate the application of the result.

Keywords: generalised Birkhoffian system form invariance conserved quantity

Received: 15 October 2009
Revised: 03 November 2009
Accepted manuscript online:

PACS:	45.20.Jj	(Lagrangian and Hamiltonian mechanics)
	02.30.Jr	(Partial differential equations)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos.~10772025, 10932002) and the Beijing Municipal Key Disciplines Fund for General Mechanics and Foundation of Mechanics.

Cite this article:

Mei Feng-Xiang(梅凤翔) and Wu Hui-Bin(吴惠彬) Form invariance and new conserved quantity of generalised Birkhoffian system 2010 Chin. Phys. B 19 050301

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