Symmetry and conserved quantities of discrete generalized Birkhoffian system

doi:10.1088/1674-1056/19/12/124601

Abstract The Noether symmetry, the Mei symmetry and the conserved quantities of discrete generalized Birkhoffian system are studied in this paper. Using the difference discrete variational approach, the difference discrete variational principle of discrete generalized Birkhoffian system is derived. The discrete equations of motion of the system are established. The criterion of Noether symmetry and Mei symmetry of the system is given. The discrete Noether and Mei conserved quantities and the conditions for their existence are obtained. Finally, an example is given to show the applications of the results.

Keywords: discrete generalized Birkhoffian system Noether symmetry Mei symmetry conserved quantity

Received: 30 March 2010
Revised: 02 June 2010
Accepted manuscript online:

PACS:

46.15.Cc

(Variational and optimizational methods)

Fund: Project supported by the Fundamental Research Funds for the Central Universities of China (Grant No. 09CX04018A).

Cite this article:

Zhang Ke-Jun(张克军), Fang Jian-Hui(方建会), and Li Yan(李燕) Symmetry and conserved quantities of discrete generalized Birkhoffian system 2010 Chin. Phys. B 19 124601

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