Limit Cycles Bifurcating from a Period Annulus in Continuous Piecewise Linear Differential Systems with Three Zones

被引：16

作者：

Silva Lima, Mauricio Firmino ^{[1
]}

Pessoa, Claudio ^{[2
]}

Pereira, Weber F. ^{[2
]}

机构：

[1] Univ Fed ABC, Ctr Matemat Comp & Cognicao, BR-09210170 Santo Andre, SP, Brazil

[2] Univ Estadual Paulista, Dept Matemat, R Cristovao Colombo 2265, BR-15054000 Sao Jose De Rio Preto, SP, Brazil

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2017年 / 27卷 / 02期

基金：

巴西圣保罗研究基金会;

关键词：

Piecewise linear vector fields; Poincare map; limit cycles; center; focus; OSCILLATIONS; SETS;

D O I：

10.1142/S0218127417500225

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a class of planar continuous piecewise linear vector fields with three zones. Using the Poincare map and some techniques for proving the existence of limit cycles for smooth differential systems, we prove that this class admits at least two limit cycles that appear by perturbations of a period annulus. Moreover, we describe the bifurcation of the limit cycles for this class through two examples of two-parameter families of piecewise linear vector fields with three zones.

引用

页数：14

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