Limit cycles in Filippov systems having a circle as switching manifold

被引：5

作者：

Llibre, Jaume ^{[1
]}

Antonio Teixeira, Marco ^{[2
]}

机构：

[1] Univ Autonoma Barcelona, Dept Matematiques, Barcelona 08193, Catalonia, Spain

[2] Univ Estadual Campinas, Dept Matemat, BR-13083970 Campinas, SP, Brazil

来源：

CHAOS | 2022年 / 32卷 / 05期

基金：

欧洲研究理事会;

关键词：

LINEAR DIFFERENTIAL-SYSTEMS; EXISTENCE; NUMBER;

D O I：

10.1063/5.0082607

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is known that planar discontinuous piecewise linear differential systems separated by a straight line have no limit cycles when both linear differential systems are centers. Here, we study the limit cycles of the planar discontinuous piecewise linear differential systems separated by a circle when both linear differential systems are centers. Our main results show that such discontinuous piecewise differential systems can have zero, one, two, or three limit cycles, but no more limit cycles than three. Published under an exclusive license by AIP Publishing.

引用

页数：6

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