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Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (2): 129-133.

• 论文 • 上一篇    下一篇

LIMIT CIRCLES BIFURCATED FROM A SOFT SPRING DUFFING EQUATION UNDER PERTURBATION

程福德   

  1. Department of Mathematics, Hubei Normal University, Huangshi 435002, P.R.China
  • 收稿日期:1996-04-29 出版日期:1998-02-18 发布日期:1998-02-18
  • 通讯作者: Xu Zhenefan

LIMIT CIRCLES BIFURCATED FROM A SOFT SPRING DUFFING EQUATION UNDER PERTURBATION

Cheng Fude   

  1. Department of Mathematics, Hubei Normal University, Huangshi 435002, P.R.China
  • Received:1996-04-29 Online:1998-02-18 Published:1998-02-18

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摘要： In this paper, foe Melnikov function method has been used to analyse the distance between stable manifold and unstable manifold of the soft spring Duffing equation[1] after its heteroclinic orbits rupture as the result of a small perturbation.The conditionsthat limit circles are bifurcated are given, and the their stability and location isdetermined.

关键词: limit circle, heteroclinic orbit, Melnikov function

Abstract: In this paper, foe Melnikov function method has been used to analyse the distance between stable manifold and unstable manifold of the soft spring Duffing equation[1] after its heteroclinic orbits rupture as the result of a small perturbation.The conditionsthat limit circles are bifurcated are given, and the their stability and location isdetermined.

Key words: limit circle, heteroclinic orbit, Melnikov function

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