On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line

被引：58

作者：

Euzebio, Rodrigo D. ^{[1
]}

Llibre, Jaume ^{[2
]}

机构：

[1] UNESP, IBILCE, Dept Matemat, BR-1505400 Sao Jose De Rio Preto, SP, Brazil

[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 424卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

Non-smooth differential system; Limit cycle; Piecewise linear differential system; BIFURCATIONS; EXISTENCE;

D O I：

10.1016/j.jmaa.2014.10.077

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the maximum number N of limit cycles that can exhibit a planar piecewise linear differential system formed by two pieces separated by a straight line. More precisely, we prove that this maximum number satisfies 2 <= N <= 4 if one of the two linear differential systems has its equilibrium point on the straight line of discontinuity. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：475 / 486

页数：12

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