数学物理学报(英文版)

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BIFURCATIONS OF A CUBIC SYSTEM PERTURBED BY DEGREE FIVE

尚德生; 张同华   

  1. School of Mathematics and Information Science, Shandong University of Technology, Zibo City 255049, China
  • 收稿日期:2006-02-10 修回日期:2007-04-19 出版日期:2009-02-20 发布日期:2009-02-20
  • 通讯作者: 尚德生
  • 基金资助:

    Surported by the Foundation of Shandong University of Technology (2006KJM01)

BIFURCATIONS OF A CUBIC SYSTEM PERTURBED BY DEGREE FIVE

Shang Desheng; Zhang Tonghua   

  1. School of Mathematics and Information Science, Shandong University of Technology, Zibo City 255049, China
  • Received:2006-02-10 Revised:2007-04-19 Online:2009-02-20 Published:2009-02-20
  • Contact: Shang Desheng

摘要:

In this article, using multi-parameter perturbation theory and qualitative analysis, the authors studied a kind of cubic system perturbed by degree five and obtained the system that can have 17 limit cycles giving their two kinds of distributions (see Fig.5).

关键词: Perturbation, singular point value, homoclinic loop, limit cycle

Abstract:

In this article, using multi-parameter perturbation theory and qualitative analysis, the authors studied a kind of cubic system perturbed by degree five and obtained the system that can have 17 limit cycles giving their two kinds of distributions (see Fig.5).

Key words: Perturbation, singular point value, homoclinic loop, limit cycle

中图分类号: 

  • 34C05