On the number of limit cycles of a generalized Abel equation

被引：0
|
作者：
Naeem Alkoumi
Pedro J. Torres
机构：
[1] Universidad de Granada,Departamento de Matemática Aplicada
来源：
Czechoslovak Mathematical Journal | 2011年 / 61卷
关键词：
periodic solution; limit cycle; polynomial nonlinearity; 34C25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
New results are proved on the maximum number of isolated T-periodic solutions (limit cycles) of a first order polynomial differential equation with periodic coefficients. The exponents of the polynomial may be negative. The results are compared with the available literature and applied to a class of polynomial systems on the cylinder.
引用
收藏
页码：73 / 83
页数：10
相关论文
共 50 条
  • [1] On the number of limit cycles of a generalized Abel equation
    Alkoumi, Naeem
    Torres, Pedro J.
    [J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2011, 61 (01) : 73 - 83
  • [2] ESTIMATES ON THE NUMBER OF LIMIT CYCLES OF A GENERALIZED ABEL EQUATION
    Alkoumi, Naeem M. H.
    Torres, Pedro J.
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011, 31 (01) : 25 - 34
  • [3] On the Number of Limit Cycles in Generalized Abel Equations
    Huang, Jianfeng
    Torregrosa, Joan
    Villadelprat, Jordi
    [J]. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2020, 19 (04): : 2343 - 2370
  • [4] Nontrivial Limit Cycles in a Kind of Piecewise Smooth Generalized Abel Equation
    Zhao, Qianqian
    Yu, Jiang
    Wang, Cheng
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2022, 32 (14):
  • [5] Limit cycles for generalized Abel equations
    Gasull, Armengol
    Guillamon, Antoni
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (12): : 3737 - 3745
  • [6] THE NUMBER OF LIMIT CYCLES FOR GENERALIZED ABEL EQUATIONS WITH PERIODIC COEFFICIENTS OF DEFINITE SIGN
    Alvarez, Amelia
    Bravo, Jose-Luis
    Fernandez, Manuel
    [J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2009, 8 (05) : 1493 - 1501
  • [7] The number of limit cycles in planar systems and generalized Abel equations with monotonous hyperbolicity
    Guillamon, Antoni
    Sabatini, Marco
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (5-6) : 1941 - 1949
  • [8] On the number of limit cycles in piecewise smooth generalized Abel equations with two asymmetric zones
    Huang, Jianfeng
    Li, Jie
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2022, 66
  • [9] On the number of limit cycles in piecewise smooth generalized Abel equations with many separation lines
    Tian, Renhao
    Zhao, Yulin
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2024, 80
  • [10] Maximum number of limit cycles for Abel equation having coefficients with linear trigonometric functions
    Yu, Xiangqin
    Huang, Jianfeng
    Liu, Changjian
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 410 : 301 - 318
12345