Limit Cycles on Piecewise Smooth Vector Fields with Coupled Rigid Centers

被引：1

作者：

Carvalho, Tiago ^{[1
]}

Goncalves, Luiz Fernando ^{[2
]}

Llibre, Jaume ^{[3
]}

机构：

[1] Univ Sao Paulo, Fac Filosofia Ciencias & Letras Ribeirao Preto, Dept Comp & Matemat, Av Bandeirantes,3900, BR-14040901 Ribeirao Preto, SP, Brazil

[2] Univ Fed Goias, Inst Matemat & Estat, Campus Samambaia, BR-74690900 Goiania, Go, Brazil

[3] Univ Autonoma Barcelona, Fac Ciencies, Dept Matemat, Barcelona 08193, Spain

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2021年 / 31卷 / 15期

基金：

巴西圣保罗研究基金会; 欧盟地平线“2020”;

关键词：

Piecewise smooth vector field; rigid centers; limit cycle; SYSTEMS; FAMILY;

D O I：

10.1142/S0218127421502242

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide an upper bound for the maximum number of limit cycles of the class of discontinuous piecewise differential systems formed by two differential systems separated by a straight line presenting rigid centers. These two rigid centers are polynomial differential systems with a linear part and a nonlinear homogeneous part. We study the maximum number of limit cycles that such a class of piecewise differential systems can exhibit.

引用

页数：19

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