On the existence of limit cycles and invariant surfaces for sewing piecewise linear differential systems on R3

被引：0
|
作者：
Medrado, Joao [1 ]
Freitas, Bruno Rodrigues de [1 ]
机构：
[1] Univ Fed Goias, Inst Matemat & Estat, Goiania, Brazil
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2022年 / 442卷
关键词：
Uniqueness of limit cycle; Invariant surface; Sewing piecewise linear differential; systems; BIFURCATION; EQUATIONS; UNIQUENESS; ORBITS; ORDER;
D O I：
10.1016/j.physd.2022.133545
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a class of three-dimensional piecewise linear differential systems with two zones separated by a plane. In this class we show that there exist differential systems having: (i) a unique limit cycle; (ii) a unique one-parameter family of periodic orbits; (iii) scrolls; (iv) invariant cylinders.(c) 2022 Elsevier B.V. All rights reserved.
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页数：14
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