中国物理B ›› 2006, Vol. 15 ›› Issue (8): 1678-1681.doi: 10.1088/1009-1963/15/8/006

• GENERAL • 上一篇    下一篇

A symmetry and a conserved quantity for the Birkhoff system

梅凤翔, 冮铁强, 解加芳   

  1. Department of Mechanics, Beijing Institute of Technology, Beijing 100081, China
  • 收稿日期:2006-03-14 修回日期:2006-04-28 出版日期:2006-08-20 发布日期:2006-08-20
  • 基金资助:
    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).

A symmetry and a conserved quantity for the Birkhoff system

Mei Feng-Xiang(梅凤翔), Gang Tie-Qiang(冮铁强), and Xie Jia-Fang(解加芳)   

  1. Department of Mechanics, Beijing Institute of Technology, Beijing 100081, China
  • Received:2006-03-14 Revised:2006-04-28 Online:2006-08-20 Published:2006-08-20
  • Supported by:
    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).

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摘要： 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.

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.

Key words: Birkhoff system, symmetry, conserved quantity

中图分类号:  (General theory of classical mechanics of discrete systems)

  • 45.05.+x