Bifurcation of Limit Cycles for a Perturbed Piecewise Quadratic Diferential Systems

被引:0
|
作者
Gui Lin JI [1 ]
Chang Jian LIU [1 ]
Peng Heng LI [1 ]
机构
[1] School of Mathematics (Zhuhai), Sun Yat-sen University
关键词
D O I
暂无
中图分类号
O153.3 [环论];
学科分类号
070104 ;
摘要
In this paper, the bifurcation of limit cycles for planar piecewise smooth systems is studied which is separated by a straight line. We give a new form of Abelian integrals for piecewise smooth systems which is simpler than before. In application, for piecewise quadratic system the existence of 10 limit cycles and 12 small-amplitude limit cycles is proved respectively.
引用
收藏
页码:591 / 611
页数:21
相关论文
共 50 条
  • [1] Bifurcation of Limit Cycles for a Perturbed Piecewise Quadratic Differential Systems
    Gui Lin Ji
    Chang Jian Liu
    Peng Heng Li
    Acta Mathematica Sinica, English Series, 2022, 38 : 591 - 611
  • [2] Bifurcation of Limit Cycles for a Perturbed Piecewise Quadratic Differential Systems
    Ji, Gui Lin
    Liu, Chang Jian
    Li, Peng Heng
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2022, 38 (03) : 591 - 611
  • [3] Bifurcation of limit cycles in piecewise quadratic differential systems with an invariant straight line
    da Cruz, Leonardo P. C.
    Torregrosa, Joan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 514 (01)
  • [4] Limit Cycles from Hopf Bifurcation in Nongeneric Quadratic Reversible Systems with Piecewise Perturbations
    Zhu, Chunyu
    Tian, Yun
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2021, 31 (16):
  • [5] Bifurcation of limit cycles at infinity in piecewise polynomial systems
    Chen, Ting
    Huang, Lihong
    Yu, Pei
    Huang, Wentao
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, 41 : 82 - 106
  • [6] BIFURCATION OF LIMIT CYCLES BY PERTURBING PIECEWISE HAMILTONIAN SYSTEMS
    Liu, Xia
    Han, Maoan
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2010, 20 (05): : 1379 - 1390
  • [7] ON LIMIT CYCLES OF PIECEWISE DIFFERENTIAL SYSTEMS AND A CLASS OF QUADRATIC SYSTEMS
    Berbache, Aziza
    Anasser, El
    MATHEMATICA BOHEMICA, 2022,
  • [8] Bifurcation of Limit Cycles by Perturbing Piecewise Linear Hamiltonian Systems with Piecewise Polynomials
    Chen, Jiangbin
    Han, Maoan
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2023, 33 (05):
  • [9] Hopf bifurcation of limit cycles by perturbing piecewise integrable systems
    Han, Maoan
    Lu, Wen
    BULLETIN DES SCIENCES MATHEMATIQUES, 2020, 161
  • [10] BIFURCATION OF LIMIT CYCLES FOR A FAMILY OF PERTURBED KUKLES DIFFERENTIAL SYSTEMS
    Rebollo-Perdomo, Salomon
    Vidal, Claudio
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2018, 38 (08) : 4189 - 4202