LIMIT CYCLES FOR PIECEWISE LINEAR SYSTEMS WITH IMPROPER NODE

被引:1
|
作者
Zhao, Hefei [1 ]
Wu, Kuilin [1 ]
机构
[1] Guizhou Univ, Dept Math, Guiyang, Peoples R China
来源
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2023年 / 13卷 / 05期
基金
中国国家自然科学基金;
关键词
Limit cycle; piecewise linear system; improper node; BIFURCATION; NUMBER;
D O I
10.11948/20220555
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is concerned with the number of limit cycles of pla-nar piecewise linear systems for improper node-improper node and improper node-node types with a straight line of separation. We obtain some sufficient conditions for the existence and stability of limit cycles and prove that the systems have at least two nested limit cycles in some parameter regions.
引用
收藏
页码:2720 / 2738
页数:19
相关论文
共 50 条
  • [21] Crossing Limit Cycles in Planar Piecewise Linear Systems Separated by a Nonregular Line with Node-Node Type Critical Points
    Sun, Liping
    Du, Zhengdong
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2024, 34 (04):
  • [22] The Maximal Number of Limit Cycles in Perturbations of Piecewise Linear Hamiltonian Systems with Two Saddles
    Xiong, Yanqin
    Han, Maoan
    Romanovski, Valery G.
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2017, 27 (08):
  • [23] Limit Cycles in Discontinuous Piecewise Linear Planar Hamiltonian Systems Without Equilibrium Points
    Li, Zhengkang
    Liu, Xingbo
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2022, 32 (10):
  • [24] Limit cycles for two classes of control piecewise linear differential systems
    Llibre, Jaume
    Oliveira, Regilene D.
    Rodrigues, Camila Ap B.
    SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, 2020, 14 (01): : 49 - 65
  • [25] Limit cycles from a monodromic infinity in planar piecewise linear systems
    Freire, Emilio
    Ponce, Enrique
    Torregrosa, Joan
    Torres, Francisco
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 496 (02)
  • [26] Canard Limit Cycles for Piecewise Linear Lienard Systems with Three Zones
    Li, Shimin
    Llibre, Jaume
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2020, 30 (15):
  • [27] Limit Cycles for Discontinuous Planar Piecewise Linear Differential Systems Separated by an Algebraic Curve
    Llibre, Jaume
    Zhang, Xiang
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2019, 29 (02):
  • [28] Limit Cycles in the Discontinuous Planar Piecewise Linear Systems with Three Zones
    Zhengkang Li
    Xingbo Liu
    Qualitative Theory of Dynamical Systems, 2021, 20
  • [29] Limit cycles for two classes of control piecewise linear differential systems
    Jaume Llibre
    Regilene D. Oliveira
    Camila Ap. B. Rodrigues
    São Paulo Journal of Mathematical Sciences, 2020, 14 : 49 - 65
  • [30] On Stability Discrimination of Limit Cycles for Piecewise Smooth Systems
    Han, Mao An
    Zhou, Xia Yu
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2024, 40 (07) : 1785 - 1803