INTEGRABILITY AND BIFURCATION OF LIMIT CYCLES FOR A CLASS OF QUASI-HOMOGENEOUS SYSTEMS

被引:2
|
作者
Tang, Yanli [1 ,2 ]
Wu, Yusen [3 ]
Li, Feng [2 ]
机构
[1] Philippine Christian Univ, Ctr Int Educ, Taft Ave, Manila 1004, Philippines
[2] Linyi Univ, Sch Math & Stat, Linyi 276000, Shandong, Peoples R China
[3] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Henan, Peoples R China
来源
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2024年 / 14卷 / 02期
关键词
Quasi-homogeneous; center; focal value; limit cycle; LINEARIZABILITY; CENTERS;
D O I
10.11948/20230253
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The integrability and bifurcation of limit cycles for a class of quasihomogeneous systems are studied, with four integrability conditions being obtained, and the existence of seven limit cycles in the neighborhood of origin being proved.
引用
收藏
页码:1006 / 1013
页数:8
相关论文
共 50 条
  • [41] LIMIT CYCLES FOR A CLASS OF POLYNOMIAL SYSTEMS AND APPLICATIONS
    Feng, Hanying
    Xu, Rui
    Liu, Qiming
    Yang, Pinghua
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2003,
  • [42] On the number of limit cycles for a class of discontinuous quadratic differential systems
    Cen, Xiuli
    Li, Shimin
    Zhao, Yulin
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 449 (01) : 314 - 342
  • [43] Bifurcation of limit cycles at the equator
    Qi Zhang
    Zhao Zhengquan
    Gui Weihua
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 211 (02) : 422 - 426
  • [44] Classification and Counting of Planar Quasi-Homogeneous Differential Systems Through Their Weight Vectors
    Garcia, Belen
    Lombardero, Anton
    Perez del Rio, Jesus S.
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2018, 17 (03) : 541 - 561
  • [45] 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
  • [46] 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
  • [47] The bifurcation of limit cycles of two classes of cubic isochronous systems
    Shao, Yi
    Lai, Yongzeng
    A, Chunxiang
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2019, (50)
  • [48] Hopf bifurcation of limit cycles by perturbing piecewise integrable systems
    Han, Maoan
    Lu, Wen
    BULLETIN DES SCIENCES MATHEMATIQUES, 2020, 161
  • [49] Limit cycles in a class of biochemistry reaction systems
    Liu, XG
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2005, 12 (05): : 675 - 684
  • [50] 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