BIFURCATIONS OF A CUBIC SYSTEM PERTURBED BY DEGREE FIVE

doi:10.1016/S0252-9602(09)60002-3

数学物理学报(英文版)

BIFURCATIONS OF A CUBIC SYSTEM PERTURBED BY DEGREE FIVE

尚德生; 张同华

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

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/Abstract

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:

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

中图分类号:

34C05

尚德生; 张同华. BIFURCATIONS OF A CUBIC SYSTEM PERTURBED BY DEGREE FIVE[J]. 数学物理学报(英文版), 2009, 29(1): 11-24.

Shang Desheng; Zhang Tonghua. BIFURCATIONS OF A CUBIC SYSTEM PERTURBED BY DEGREE FIVE[J]. Acta mathematica scientia,Series B, 2009, 29(1): 11-24.

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BIFURCATIONS OF A CUBIC SYSTEM PERTURBED BY DEGREE FIVE

BIFURCATIONS OF A CUBIC SYSTEM PERTURBED BY DEGREE FIVE

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