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.
引用
收藏
页数：14
相关论文
共 50 条
  • [31] On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems
    Gouveia, Marcio R. A.
    Llibre, Jaume
    Novaes, Douglas D.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2015, 271 : 365 - 374
  • [32] Limit cycles for planar piecewise linear differential systems via first integrals
    Llibre J.
    Nuñez E.
    Teruel A.E.
    [J]. Qualitative Theory of Dynamical Systems, 2002, 3 (1) : 29 - 50
  • [33] On the Limit Cycles for a Class of Continuous Piecewise Linear Differential Systems with Three Zones
    Silva Lima, Mauricio Firmino
    Pessoa, Claudio
    Pereira, Weber F.
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2015, 25 (04):
  • [34] Limit cycles of piecewise polynomial perturbations of higher dimensional linear differential systems
    Llibre, Jaume
    Novaes, Douglas D.
    Zeli, Iris O.
    [J]. REVISTA MATEMATICA IBEROAMERICANA, 2020, 36 (01) : 291 - 318
  • [35] LIMIT CYCLES FOR A CLASS OF CONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS WITH THREE ZONES
    Silva Lima, Mauricio Firmino
    Llibre, Jaume
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2012, 22 (06):
  • [36] On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry
    Llibre, Jaume
    Ordonez, Manuel
    Ponce, Enrique
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2013, 14 (05) : 2002 - 2012
  • [37] Piecewise linear differential systems with only centers can create limit cycles?
    Llibre, Jaume
    Teixeira, Marco Antonio
    [J]. NONLINEAR DYNAMICS, 2018, 91 (01) : 249 - 255
  • [38] ON THE LIMIT CYCLES OF PLANAR DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS WITH A UNIQUE EQUILIBRIUM
    Li, Shimin
    Llibre, Jaume
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 24 (11): : 5885 - 5901
  • [39] Limit cycles bifurcating of Kolmogorov systems in R2 and in R3
    Llibre, Jaume
    Paulina Martinez, Y.
    Valls, Claudia
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2020, 91
  • [40] ON LIMIT CYCLES OF PIECEWISE DIFFERENTIAL SYSTEMS FORMED BY ARBITRARY LINEAR SYSTEMS AND A CLASS OF QUADRATIC SYSTEMS
    Berbache, Aziza
    [J]. MATHEMATICA BOHEMICA, 2023, 148 (04): : 617 - 629
12345