LIMIT CYCLES AND INVARIANT CENTERS FOR AN EXTENDED KUKLES SYSTEM

被引：1
|
作者：
Liu, Zhenhai [1 ,2 ]
Szanto, Ivan [3 ]
机构：
[1] Guangxi Univ Nationalities, Guangxi Key Lab Univ Optimizat Control & Engn Cal, Nanning 530006, Guangxi, Peoples R China
[2] Guangxi Univ Nationalities, Coll Sci, Nanning 530006, Guangxi, Peoples R China
[3] Univ Tecn Federico Santa Maria, Dept Matemat, Casilla 110-5, Valparaiso, Chile
来源：
MISKOLC MATHEMATICAL NOTES | 2017年 / 18卷 / 02期
关键词：
limit cycle; center; bifurcation;
D O I：
10.18514/MMN.2017.2043
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A class of polynomial systems of odd degree with limit cycles, invariant centers and invariant straight lines, is examined. The limit cycles can be obtain as a bifurcation of a non hyperbolic focus at the origin as Hopf bifurcations. We will also obtain the necessary and sufficient conditions for the critical point at the interior of bounded region to be a center.
引用
收藏
页码：947 / 952
页数：6
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