Uniqueness of limit cycles for sewing planar piecewise linear systems

被引：47
|
作者：
Medrado, Joao C. [1 ]
Torregrosa, Joan [2 ]
机构：
[1] Univ Fed Goias, Inst Matemat & Estatist, BR-74001970 Goiania, Go, Brazil
[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 431卷 / 01期
关键词：
Non-smooth differential system; Uniqueness of limit cycle; Piecewise sewing planar linear differential system; BIFURCATION; EXISTENCE;
D O I：
10.1016/j.jmaa.2015.05.064
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper proves the uniqueness of limit cycles for sewing planar piece:wise linear systems with two zones separated by a straight line, Sigma, and only one Sigma-singularity of monodromic type. The proofs are based in an extension of Rolle's Theorem for dynamical systems on the plane. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：529 / 544
页数：16
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