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
来源：
Acta Mathematica Sinica,English Series | 2022年 / 03期
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
  • [21] BIFURCATION OF LIMIT CYCLES IN A FAMILY OF PIECEWISE SMOOTH SYSTEMS VIA AVERAGING THEORY
    Liu, Shanshan
    Han, Maoan
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2020, 13 (11): : 3115 - 3124
  • [22] Limit cycles bifurcating from piecewise quadratic systems separated by a straight line
    Peng, Linping
    Gao, Yunfei
    Feng, Zhaosheng
    Nonlinear Analysis, Theory, Methods and Applications, 2020, 196
  • [23] Bifurcation of Limit Cycles for Three Perturbed Integrable Non-Hamiltonian Systems
    Hong, Xiao-Chun
    Yan, Jianxue
    2012 2ND INTERNATIONAL CONFERENCE ON APPLIED ROBOTICS FOR THE POWER INDUSTRY (CARPI), 2012, : 637 - 641
  • [24] Bifurcation of Limit Cycles of a Piecewise Smooth Hamiltonian System
    Yang, Jihua
    Zhao, Liqin
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2022, 21 (04)
  • [25] Limit cycles bifurcating from piecewise quadratic systems separated by a straight line
    Peng, Linping
    Gao, Yunfei
    Feng, Zhaosheng
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 196
  • [26] Limit Cycles for a Class of Piecewise Smooth Quadratic Differential Systems with Multiple Parameters
    Bo, Xuekang
    Tian, Yun
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2016, 26 (10):
  • [27] Bifurcation of Limit Cycles of a Piecewise Smooth Hamiltonian System
    Jihua Yang
    Liqin Zhao
    Qualitative Theory of Dynamical Systems, 2022, 21
  • [28] ON LIMIT CYCLES OF PIECEWISE DIFFERENTIAL SYSTEMS FORMED BY ARBITRARY LINEAR SYSTEMS AND A CLASS OF QUADRATIC SYSTEMS
    Berbache, Aziza
    MATHEMATICA BOHEMICA, 2023, 148 (04): : 617 - 629
  • [29] Bifurcation of limit cycles from a parabolic-parabolic type critical point in a class of planar piecewise smooth quadratic systems
    Fan, Zhihui
    Du, Zhengdong
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2022, 67
  • [30] Limit cycles of quadratic systems
    Gaiko, Valery A.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (07) : 2150 - 2157
12345