Limit Cycles for Discontinuous Planar Piecewise Linear Differential Systems Separated by an Algebraic Curve

被引：23
|
作者：
Llibre, Jaume [1 ]
Zhang, Xiang [2 ]
机构：
[1] Univ Autonoma Barcelona, Dept Matemat, Barcelona, Spain
[2] Shanghai Jiao Tong Univ, Sch Math Sci, Key Lab Sci & Engn Comp, Minist Educ, Shanghai 200240, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2019年 / 29卷 / 02期
关键词：
Limit cycle; discontinuous piecewise linear differential systems; discontinuity with an algebraic curve; BIFURCATIONS; NUMBER;
D O I：
10.1142/S0218127419500172
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study how to change the maximum number of limit cycles of the discontinuous piecewise linear differential systems with only two pieces in function of the degree of the discontinuity of the algebraic curve between the two linear differential systems. These discontinuous differential systems appear frequently in applied sciences.
引用
收藏
页数：17
相关论文
共 50 条
  • [41] Limit cycles in planar continuous piecewise linear systems
    Chen, Hebai
    Li, Denghui
    Xie, Jianhua
    Yue, Yuan
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 47 : 438 - 454
  • [42] TWO LIMIT CYCLES FOR A CLASS OF DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS WITH TWO PIECES
    Berbache, A.
    SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2020, 17 : 1488 - 1515
  • [43] Limit cycles in a family of discontinuous piecewise linear differential systems with two zones in the plane
    Denis de Carvalho Braga
    Luis Fernando Mello
    Nonlinear Dynamics, 2013, 73 : 1283 - 1288
  • [44] Limit cycles in a family of discontinuous piecewise linear differential systems with two zones in the plane
    Braga, Denis de Carvalho
    Mello, Luis Fernando
    NONLINEAR DYNAMICS, 2013, 73 (03) : 1283 - 1288
  • [45] Limit cycles of discontinuous piecewise differential systems formed by two rigid systems separated by a straight lineLimit cycles of discontinuous piecewise differential systemsJ. Llibre et al.
    Jaume Llibre
    Angela C. T. Sánchez
    Durval J. Tonon
    Nonlinear Differential Equations and Applications NoDEA, 2025, 32 (3)
  • [46] Limit Cycles and Bifurcations in a Class of Discontinuous Piecewise Linear Systems
    Li, Tao
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2019, 29 (10):
  • [47] Limit Cycles in Planar Piecewise Linear Differential Systems with Multiple Switching CurvesLimit Cycles in Planar Piecewise Linear Differential...R. Jia, L. Zhao
    Ranran Jia
    Liqin Zhao
    Qualitative Theory of Dynamical Systems, 2025, 24 (3)
  • [48] Limit Cycles in a Family of Planar Piecewise Linear Differential Systems with a Nonregular Separation Line
    Huan, Song-Mei
    Yang, Xiao-Song
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2019, 29 (08):
  • [49] Limit cycles of planar piecewise linear Hamiltonian differential systems with two or three zones
    Pessoa, Claudio
    Ribeiro, Ronisio
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2022, (27) : 1 - 19
  • [50] Uniform upper bound for the number of limit cycles of planar piecewise linear differential systems with two zones separated by a straight line
    Carmona, Victoriano
    Fernandez-Sanchez, Fernando
    Novaes, Douglas D.
    APPLIED MATHEMATICS LETTERS, 2023, 137
12345