Uniqueness of limit cycles bounded by two invariant parabolas

被引：0
|
作者：
Eduardo Sáez
Iván Szántó
机构：
[1] Universidad Técnica Federico Santa María,Departamento de Matemática
来源：
Applications of Mathematics | 2012年 / 57卷
关键词：
stability; limit cycles; center; bifurcation; 92D25; 34C05; 58F14; 58F21;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we consider a class of cubic polynomial systems with two invariant parabolas and prove in the parameter space the existence of neighborhoods such that in one the system has a unique limit cycle and in the other the system has at most three limit cycles, bounded by the invariant parabolas.
引用
收藏
页码：521 / 529
页数：8
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