中国物理B ›› 2006, Vol. 15 ›› Issue (9): 1932-1934.doi: 10.1088/1009-1963/15/9/005

• GENERAL • 上一篇    下一篇

Stability with respect to partial variables for Birkhoff systems

梅凤翔, 吴惠彬, 尚玫, 张永发   

  1. Faculty of Science, Beijing Institute of Technology, Beijing 100081,China
  • 收稿日期:2006-02-28 修回日期:2006-05-19 出版日期:2006-09-20 发布日期:2006-09-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10572021) and the Doctoral Program Foun-\linebreak \makebox[1.6mm]{dation of Institution of Higher Education, China (Grant No 20040007022).

Stability with respect to partial variables for Birkhoff systems

Mei Feng-Xiang(梅凤翔)† , Wu Hui-Bin(吴惠彬), Shang Mei(尚玫), and Zhang Yong-Fa(张永发)   

  1. Faculty of Science, Beijing Institute of Technology, Beijing 100081,China
  • Received:2006-02-28 Revised:2006-05-19 Online:2006-09-20 Published:2006-09-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10572021) and the Doctoral Program Foun-\linebreak \makebox[1.6mm]{dation of Institution of Higher Education, China (Grant No 20040007022).

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摘要： In this paper, the stability with respect to partial variables for the Birkhoff system is studied. By transplanting the results of the partial stability for general systems to the Birkhoff system and constructing a suitable Liapunov function, the partial stability of the system can be achieved. Finally, two examples are given to illustrate the application of the results.

Abstract: In this paper, the stability with respect to partial variables for the Birkhoff system is studied. By transplanting the results of the partial stability for general systems to the Birkhoff system and constructing a suitable Liapunov function, the partial stability of the system can be achieved. Finally, two examples are given to illustrate the application of the results.

Key words: Birkhoff system, partial stability, Liapunov function

中图分类号:  (Integrable systems)

  • 02.30.Ik
02.10.Yn (Matrix theory)