LIMIT CYCLES OF THE DISCONTINUOUS PIECEWISE DIFFERENTIAL SYSTEMS ON THE CYLINDER

被引:1
|
作者
Li, Jie [1 ]
Llibre, Jaume [2 ]
机构
[1] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China
[2] Univ Autonoma Barcelona, Dept Matemat, Barcelona 08193, Catalonia, Spain
来源
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2022年 / 12卷 / 03期
基金
欧盟地平线“2020”;
关键词
Limit cycles; discontinuous piecewise smooth system; differential systems on the cylinder;
D O I
10.11948/20220031
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In order to understand the dynamics of the differential systems the limit cycles play a main role, but in general their study is not easy. These last years an increasing interest appeared for studying the limit cycles of some classes of discontinuous piecewise differential systems, due to the rich applications of this kind of differential systems. Very few papers studied the limit cycles of the discontinuous piecewise differential systems in spaces different from the plane R-2. Here we study the limit cycles of a class of discontinuous piecewise differential systems on the cylinder.
引用
收藏
页码:952 / 963
页数:12
相关论文
共 50 条
  • [1] LIMIT CYCLES OF DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS
    Cardin, Pedro Toniol
    De Carvalho, Tiago
    Llibre, Jaume
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2011, 21 (11): : 3181 - 3194
  • [2] The limit cycles of a class of discontinuous piecewise differential systems
    Baymout, Louiza
    Benterki, Rebiha
    Llibre, Jaume
    INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS, 2024, 13 (04)
  • [3] ON THE LIMIT CYCLES OF A CLASS OF DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS
    Llibre, Jaume
    Menezes, Lucyjane de A. S.
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2020, 25 (05): : 1835 - 1858
  • [4] Limit cycles for a class of discontinuous piecewise generalized Kukles differential systems
    Mereu, Ana C.
    Oliveira, Regilene
    Rodrigues, Camila A. B.
    NONLINEAR DYNAMICS, 2018, 93 (04) : 2201 - 2212
  • [5] Limit cycles of piecewise differential equations on the cylinder
    Bakhshalizadeh, Ali
    Llibre, Jaume
    BULLETIN DES SCIENCES MATHEMATIQUES, 2021, 170
  • [6] On the limit cycles for a class of discontinuous piecewise cubic polynomial differential systems
    Huang, Bo
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2020, (25) : 1 - 24
  • [7] Limit cycles for a class of discontinuous piecewise generalized Kukles differential systems
    Ana C. Mereu
    Regilene Oliveira
    Camila A. B. Rodrigues
    Nonlinear Dynamics, 2018, 93 : 2201 - 2212
  • [8] On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems
    Gouveia, Marcio R. A.
    Llibre, Jaume
    Novaes, Douglas D.
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 271 : 365 - 374
  • [9] Limit Cycles of Discontinuous Piecewise Differential Hamiltonian Systems Separated by a Straight Line
    Casimiro, Joyce A.
    Llibre, Jaume
    AXIOMS, 2024, 13 (03)
  • [10] ON THE LIMIT CYCLES OF PLANAR DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS WITH A UNIQUE EQUILIBRIUM
    Li, Shimin
    Llibre, Jaume
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 24 (11): : 5885 - 5901