Non-Noether conserved quantity constructed by using form invariance for Birkhoffian system

doi:10.1088/1009-1963/13/12/004

Abstract

Abstract Based on the invariance of Birkhoffian equations under the infinitesimal transformations of groups, the definition and the criterion of a form invariance for a Birkhoffian system are established. The condition under which the form invariance can lead to a non-Noether conserved quantity and the form of the conserved quantity are deduced by relying on the total time derivative along the trajectory of the equations, and two corollaries in special cases are presented. An example is finally given to illustrate the application of the results.

Keywords: Birkhoffian system form invariance non-Noether conserved quantity

Received: 11 May 2004
Revised: 03 June 2004
Accepted manuscript online:

PACS:	02.20.Sv	(Lie algebras of Lie groups)
	02.30.Hq	(Ordinary differential equations)

Fund: Project supported by the National Natural Science Foundation of China (Grant No 10272021).

Cite this article:

Xu Xue-Jun (许学军), Mei Feng-Xiang (梅凤翔), Qin Mao-Chang (秦茂昌) Non-Noether conserved quantity constructed by using form invariance for Birkhoffian system 2004 Chinese Physics 13 1999

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Non-Noether conserved quantity constructed by using form invariance for Birkhoffian system

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