Limit Cycles for the Class of D -Dimensional Polynomial Differential Systems

被引：0

作者：

机构：

[1] Diab, Zouhair

[2] Makhlouf, Amar

来源：

Diab, Zouhair (diabzouhair@gmail.com) | 1600年 / Hindawi Limited卷 / 2016期

基金：

美国国家航空航天局; 美国国家科学基金会;

关键词：

D O I：

10.1155/2016/1868027

中图分类号：

O172 [微积分];

学科分类号：

摘要：

We perturb the differential system ẋ1=-x2(1+x1), ẋ2=x1(1+x1), and ẋk=0 for k=3,.,d inside the class of all polynomial differential systems of degree n in Rd, and we prove that at most nd-1 limit cycles can be obtained for the perturbed system using the first-order averaging theory. © 2016 Zouhair Diab and Amar Makhlouf.

引用

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