Abstract A symmetry and a conserved quantity of the Birkhoff system are studied. The symmetry is called the Birkhoff symmetry. Its definition and criterion are given in this paper. A conserved quantity can be deduced by using the symmetry. An example is given to illustrate the application of the result.
Received: 14 March 2006
Revised: 28 April 2006
Accepted manuscript online:
PACS:
45.05.+x
(General theory of classical mechanics of discrete systems)
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10572021) and the
Special Research Fund for the Doctoral Program of Higher Education of China (Grant No 20040007022).
Cite this article:
Mei Feng-Xiang(梅凤翔), Gang Tie-Qiang(冮铁强), and Xie Jia-Fang(解加芳) A symmetry and a conserved quantity for the Birkhoff system 2006 Chinese Physics 15 1678
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