Limit Cycles Bifurcating from Planar Polynomial Quasi-Homogeneous Centers of Weight-Degree 3 with Nonsmooth Perturbations

被引：0

作者：

Sui, Shiyou ^{[1
]}

Xu, Weijiao ^{[1
]}

Zhang, Yongkang ^{[2
]}

机构：

[1] Tianjin Univ Commerce, Sch Sci, Tianjin 300134, Peoples R China

[2] Tianjin Normal Univ, Sch Math Sci, Tianjin 300387, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2024年 / 34卷 / 11期

基金：

中国国家自然科学基金;

关键词：

Weight-homogeneous differential system; limit cycle; piecewise smooth polynomial; averaging method; DIFFERENTIAL-SYSTEMS; EQUIVALENCE;

D O I：

10.1142/S0218127424501414

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we estimate the number of limit cycles bifurcating from the periodic orbits of the weight-homogeneous polynomial centers of weight-degree 3, when they are perturbed inside the class of piecewise smooth polynomial systems of degree n. By using the first-order averaging method, we give the upper and lower bounds on the maximal number of limit cycles which can bifurcate from the period annuluses. Our results indicate that the nonsmooth systems can have more limit cycles than the smooth ones.

引用

页数：12