Slow divergence integrals in generalized Lienard equations near centers

被引：0

作者：

Huzak, Renato ^{[1
]}

De Maesschalck, Peter ^{[1
]}

机构：

[1] Hasselt Univ, B-3590 Diepenbeek, Belgium

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2014年 / 66期

关键词：

generalized Lienard equations; limit cycles; slow divergence integral; slow-fast systems; LIMIT-CYCLE BIFURCATIONS; HILBERTS 16TH PROBLEM; DIFFERENTIAL-EQUATIONS; CUSPIDAL LOOP; SYSTEMS; UNIQUENESS; NUMBER;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using techniques from singular perturbations we show that for any n >= 6 and m >= 2 there are Lienard equations {x = y - F(x), y = G ( x)}, with F a polynomial of degree n and G a polynomial of degree m, having at least 2[n-2/2] + [m/2] hyperbolic limit cycles, where [center dot] denotes "the greatest integer equal or below".

引用

页码：1 / 10

页数：10

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