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
收藏
页码：475 / 486
页数：12
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