Acta mathematica scientia, Series B >
BIFURCATIONS OF A CUBIC SYSTEM PERTURBED BY DEGREE FIVE
Received date: 2006-02-10
Revised date: 2007-04-19
Online published: 2009-02-20
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
Shang Desheng , Zhang Tonghua . BIFURCATIONS OF A CUBIC SYSTEM PERTURBED BY DEGREE FIVE[J]. Acta mathematica scientia, Series B, 2009 , 29(1) : 11 -24 . DOI: 10.1016/S0252-9602(09)60002-3
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