Acta mathematica scientia,Series B

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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

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

CLC Number: 

  • 34C05
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