Bifurcation of limit cycles and the cusp of ordern

被引:2
|
作者
Han Maoan
机构
[1] Shandong Mining Institute,Department of Applied Mathematics
关键词
Limit cycle; Bifurcation; 34C25; 58F14; O175;
D O I
10.1007/BF02560525
中图分类号
学科分类号
摘要
The author first investigates the limit cycles bifurcating from a center for general two dimensional systems, and then proves the conjecture that any unfolding of the cusp of ordern has at mostn−1 limit cycles.
引用
收藏
页码:64 / 75
页数:11
相关论文
共 50 条
  • [31] Global bifurcation of limit cycles in a family of polynomial systems
    Xiang, GH
    Han, M
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 295 (02) : 633 - 644
  • [32] Bifurcation of limit cycles at infinity in a class of switching systems
    Feng Li
    Yuanyuan Liu
    Pei Yu
    [J]. Nonlinear Dynamics, 2017, 88 : 403 - 414
  • [33] A harmonic balance approach to bifurcation analysis of limit cycles
    Bonani, F
    Gilli, M
    [J]. ISCAS '99: PROCEEDINGS OF THE 1999 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL 6: CIRCUITS ANALYSIS, DESIGN METHODS, AND APPLICATIONS, 1999, : 298 - 301
  • [34] BIFURCATION OF LIMIT-CYCLES FROM QUADRATIC ISOCHRONES
    CHICONE, C
    JACOBS, M
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1991, 91 (02) : 268 - 326
  • [35] BIFURCATION OF LIMIT CYCLES AND ISOCHRONOUS CENTERS FOR A QUARTIC SYSTEM
    Huang, Wentao
    Chen, Aiyong
    Xu, Qiujin
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2013, 23 (10):
  • [36] Hopf Bifurcation of Limit Cycles in Discontinuous Lienard Systems
    Xiong, Yanqin
    Han, Maoan
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [37] Bifurcation of limit cycles at infinity in piecewise polynomial systems
    Chen, Ting
    Huang, Lihong
    Yu, Pei
    Huang, Wentao
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, 41 : 82 - 106
  • [38] BIFURCATION OF LIMIT CYCLES FROM QUARTIC ISOCHRONOUS SYSTEMS
    Peng, Linping
    Feng, Zhaosheng
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
  • [39] BIFURCATION OF LIMIT-CYCLES FROM QUADRATIC CENTERS
    SHAFER, DS
    ZEGELING, A
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1995, 122 (01) : 48 - 70
  • [40] Bifurcation of limit cycles from two families of centers
    Coll, B
    Gasull, A
    Prohens, R
    [J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2005, 12 (02): : 275 - 287