Existence of Limit Cycles for a Cubic Kolmogorov System with a Hyperbolic Solution

被引：2
|
作者：
沈伯骞
刘德明
机构：
来源：
Northeastern Mathematical Journal | 2000年 / 01期
关键词：
cubic kolmogorov system; central quadratic curve; limit cycle;
D O I：
10.13447/j.1674-5647.2000.01.012
中图分类号：
O231 [控制论（控制论的数学理论）];
学科分类号：
070105 ; 0711 ; 071101 ; 0811 ; 081101 ;
摘要：
This paper is concerned with a cubic Kolmogorov system with a solution of central quadratic curve which neither contacts with the coordinate axes, nor passes through the origin. The conclusion is that such a system may possess limit cycles.
引用
收藏
页码：91 / 95
页数：5
相关论文
共 50 条
  • [21] Bifurcations of limit cycles in a cubic system with cubic perturbations
    Zang, Hong
    Zhang, Tonghua
    Han, Maoan
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 176 (01) : 341 - 358
  • [22] On A Certain Class of Kolmogorov Systems: Integrability And Non-Existence Of Limit Cycles
    Salhi, Tayeb
    APPLIED MATHEMATICS E-NOTES, 2021, 21 : 157 - 162
  • [23] A CUBIC DIFFERENTIAL SYSTEM WITH NINE LIMIT CYCLES
    Lloyd, Noel G.
    Pearson, Jane M.
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2012, 2 (03): : 293 - 304
  • [24] DISTRIBUTION OF LIMIT CYCLES OF THE PLANAR CUBIC SYSTEM
    李继彬
    Science China Mathematics, 1985, (01) : 35 - 46
  • [25] On the number and distribution of limit cycles in a cubic system
    Maoan, H
    Zhang, TH
    Hong, Z
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2004, 14 (12): : 4285 - 4292
  • [26] LIMIT CYCLES FOR A CUBIC GENERALIZED LIENARD SYSTEM
    Zhao, Jinyuan
    Li, Jun
    Wu, Kuilin
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2025,
  • [27] DISTRIBUTION OF LIMIT CYCLES OF THE PLANAR CUBIC SYSTEM
    李继彬
    ScienceinChina,SerA., 1985, Ser.A.1985 (01) : 35 - 46
  • [28] LIMIT-CYCLES IN A CUBIC SYSTEM WITH A CUSP
    XIAN, W
    KOOIJ, RE
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1992, 23 (06) : 1609 - 1622
  • [29] LIMIT CYCLES AND CENTERS IN A CUBIC PLANAR SYSTEM
    Cherkas, Leonid
    Romanovski, Valery G.
    Xing, Yepeng
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2010, 20 (12): : 4127 - 4135
  • [30] Center-focus problem and limit cycles bifurcations for a class of cubic Kolmogorov model
    Du, Chaoxiong
    Huang, Wentao
    NONLINEAR DYNAMICS, 2013, 72 (1-2) : 197 - 206
12345