کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4632587 | 1340649 | 2009 | 5 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Bifurcation of limit cycles at the equator Bifurcation of limit cycles at the equator](/preview/png/4632587.png)
This paper studies center conditions and bifurcation of limit cycles from the equator for a class of polynomial differential system of order seven. By converting real planar system into complex system, we established the relation of focal values of a real system with singular point quantities of its concomitant system, and the recursion formula for the computation of singular point quantities of a complex system at the infinity. Therefore, the first 14 singular point quantities of a complex system at the infinity are deduced by using computer algebra system Mathematica. What’s more, the conditions for the infinity of the real system to be a center or 14 degree fine focus are derived, respectively. A system of order seven that bifurcates 12 limit cycles from the infinity is constructed for the first time.
Journal: Applied Mathematics and Computation - Volume 211, Issue 2, 15 May 2009, Pages 422–426