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Numerical Analysis of Bifurcation Propertiesnear a Saddle-node Homoclinic Orbit

ZOU Yong-kui1,JIN Yuan-zhe2   

  1. (1. College of Mathematics, Jilin University, Changchun 130012, P.R.China;2. Zhonghuan Realestate Co., Changchun 130021, P.R.China)
  • Received:2001-02-21 Revised:1900-01-01 Online:2002-01-26 Published:2002-01-26
  • Contact: ZOU Yong-kui

Abstract: The main purpose of this paper is to use numerical an alysis methods to study the bifurcation porperties near a saddle-node homoclini c orbit, including stationary points, periodic orbits, and hyperbolic homoclinic orbits. As an application, a chemical reaction equation is studied and its corr esponding bifurcation properties are presented.

Key words: bifurcation, saddle-node homoclinic orbit, hyperbolic homoclinic orbit

CLC Number: 

  • O241.7