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鞍结同宿轨道附近分支现象的数值分析

邹永魁1, 金渊哲2   

  1. (1.吉林大学数学科学学院, 长春130012; 2. 中环房地产公司, 长春 130021)
  • 收稿日期:2001-02-21 修回日期:1900-01-01 出版日期:2002-01-26 发布日期:2002-01-26
  • 通讯作者: 邹永魁

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

摘要: 主要采用数值分析的方法研究一个化学反应方程中鞍结 同宿轨道附近的分支性质, 包括平衡点、 周期解和双曲同宿轨道等分支现象及其稳定性.

关键词: 分支, 鞍结同宿轨道, 双曲同宿轨道

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

中图分类号: 

  • O241.7