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
  • [21] Limit Cycles Bifurcating from Planar Polynomial Quasi-Homogeneous Centers of Weight-Degree 3 with Nonsmooth Perturbations
    Sui, Shiyou
    Xu, Weijiao
    Zhang, Yongkang
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2024, 34 (11):
  • [22] BIFURCATION OF LIMIT CYCLES FOR CUBIC REVERSIBLE SYSTEMS
    Shao, Yi
    Wu, Kuilin
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
  • [23] Integrability and limit cycles for a class of multi-parameter differential systems with unstable node point
    Kina, A.
    Berbache, A.
    Bendjeddou, A.
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2023, 72 (03) : 1937 - 1946
  • [24] LIMIT CYCLES AND GLOBAL DYNAMIC OF PLANAR CUBIC SEMI-QUASI-HOMOGENEOUS SYSTEMS
    He, Zecen
    Liang, Haihua
    Zhang, Xiang
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 27 (01): : 421 - 441
  • [25] Integrability and limit cycles for a class of multi-parameter differential systems with unstable node point
    A. Kina
    A. Berbache
    A. Bendjeddou
    Rendiconti del Circolo Matematico di Palermo Series 2, 2023, 72 : 1937 - 1946
  • [26] On the center criterion of planar quasi-homogeneous polynomial differential systems
    Zhang, Liwei
    Yu, Jiang
    BULLETIN DES SCIENCES MATHEMATIQUES, 2018, 147 : 7 - 25
  • [27] Bifurcation analysis on a class of three-dimensional quadratic systems with twelve limit cycles
    Guo, Laigang
    Yu, Pei
    Chen, Yufu
    APPLIED MATHEMATICS AND COMPUTATION, 2019, 363
  • [28] Quasi-homogeneous polynomial differential systems having a center at the origin
    Xiong, Yanqin
    Lu, Shiping
    APPLIED MATHEMATICS LETTERS, 2020, 103 (103)
  • [29] PLANAR QUASI-HOMOGENEOUS POLYNOMIAL SYSTEMS WITH A GIVEN WEIGHT DEGREE
    Xiong, Yanqin
    Han, Maoan
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016, 36 (07) : 4015 - 4025
  • [30] Bifurcation of Limit Cycles and Isochronous Centers on Center Manifolds for a Class of Cubic Kolmogorov Systems in R3
    Gu, Jieping
    Zegeling, Andre
    Huang, Wentao
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2023, 22 (02)
12345