ON THE LIMIT CYCLES OF A CLASS OF DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS

被引：2
作者：
Llibre, Jaume [1 ]
Menezes, Lucyjane de A. S. [2 ]
机构：
[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain
[2] Univ Fed Goias, Inst Matemat & Estat, BR-74690900 Goiania, Go, Brazil
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2020年 / 25卷 / 05期
基金：
欧盟地平线“2020”;
关键词：
Discontinuous systems; Poincare map; return map; limit cycles;
D O I：
10.3934/dcdsb.2020005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider discontinuous piecewise linear differential systems whose discontinuity set is a straight line L which does not pass through the origin. These systems are formed by two linear differential systems of the form (x) over dot = Ax +/- b. We study the limit cycles of this class of discontinuous piecewise linear differential systems. We do this study by analyzing the fixed points of the return map of the system defined on the straight line L. This kind of differential systems appear in control theory.
引用
收藏
页码：1835 / 1858
页数：24
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