中国物理B ›› 2003, Vol. 12 ›› Issue (6): 586-589.doi: 10.1088/1009-1963/12/6/302

• GENERAL • 上一篇    下一篇

Closed orbits and limit cycles of second-order autonomous Birkhoff systems

陈向炜   

  1. Department of Physics, Shangqiu Teachers College, Shangqiu 476000, China
  • 收稿日期:2002-12-10 修回日期:2003-01-22 出版日期:2005-03-16 发布日期:2005-03-16
  • 基金资助:
    Project supported by the Natural Science Foundation of Henan Province, China (Grant No 0211011800), and by the Foundation for University Young Key Teachers of Henan Province, China.

Closed orbits and limit cycles of second-order autonomous Birkhoff systems

Chen Xiang-Wei (陈向炜)   

  1. Department of Physics, Shangqiu Teachers College, Shangqiu 476000, China
  • Received:2002-12-10 Revised:2003-01-22 Online:2005-03-16 Published:2005-03-16
  • Supported by:
    Project supported by the Natural Science Foundation of Henan Province, China (Grant No 0211011800), and by the Foundation for University Young Key Teachers of Henan Province, China.

摘要: In this paper, the existence of periodic orbits and the non-existence of limit cycles for the second-order autonomous Birkhoff system are studied. Further the existence of algebraic limit cycles for a generalized second-order autonomous Birkhoff system is studied.

Abstract: In this paper, the existence of periodic orbits and the non-existence of limit cycles for the second-order autonomous Birkhoff system are studied. Further the existence of algebraic limit cycles for a generalized second-order autonomous Birkhoff system is studied.

Key words: Birkhoff system, equation of motion, singular point, closed orbit, limit cycle

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
02.30.Jr (Partial differential equations)