INTEGRABILITY AND LINEARIZABILITY FOR A CLASS OF CUBIC KOLMOGOROV SYSTEMS

被引：0
|
作者：
Qinlong Wang
机构：
来源：
Annals of Applied Mathematics | 2010年 / 04期
关键词：
cubic Kolmogorov system; integrability; linearizability;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
The integrability and linearizability for a class of cubic Kolmogorov systems are studied. A recursive formula to compute the saddle quantities of the systems is deduced firstly, and integrable conditions for the systems are obtained. Then a recursive formula to compute the coefficients of the normal form for saddle points of the systems is also applied. Finally linearizable conditions of the origin for the systems are given. Both formulas to find necessary conditions are all linear and readily done using computer algebra system such as Mathematica or Maple, and some good methods are given to obtain the sufficient conditions.
引用
收藏
页码：442 / 449
页数：8
相关论文
共 50 条
  • [1] INTEGRABILITY AND LINEARIZABILITY FOR A CLASS OF CUBIC KOLMOGOROV SYSTEMS
    Qinlong Wang Haitao Wu School of Information and Mathematics Yangtze University Jingzhou Hubei
    [J]. Annals of Differential Equations., 2010, 26 (04) - 449
  • [2] Integrability and non-linearizability of weak saddles in a cubic Kolmogorov model
    Wu, Yusen
    Zhang, Cui
    [J]. CHAOS SOLITONS & FRACTALS, 2021, 153
  • [3] Analytical integrability problem for perturbations of cubic Kolmogorov systems
    Algaba, Antonio
    Garcia, Cristobal
    Reyes, Manuel
    [J]. CHAOS SOLITONS & FRACTALS, 2018, 113 : 1 - 10
  • [4] Analytic integrability of a class of nilpotent cubic systems
    Chavarriga, J
    Giné, J
    Sorolla, J
    [J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2002, 59 (06) : 489 - 495
  • [5] Linearizability and local bifurcation of critical periods in a cubic Kolmogorov system
    Chen, Xingwu
    Huang, Wentao
    Romanovski, Valery G.
    Zhang, Weinian
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2013, 245 : 86 - 96
  • [6] Integrability and linearizability of cubic Z2 systems with non-resonant singular points
    Li, Feng
    Jin, Yinlai
    Tian, Yun
    Yu, Pei
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 269 (10) : 9026 - 9049
  • [7] The integrability of a class of cubic Lotka-Volterra systems
    Liu, Changjian
    Li, Yun
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2014, 19 : 67 - 74
  • [8] Integrability and linearizability of the Lotka-Volterra systems
    Liu, CJ
    Chen, GT
    Li, CZ
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 198 (02) : 301 - 320
  • [9] Linearizability of three families of cubic systems
    Romanvski, VG
    Wu, YH
    Christopher, C
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (09): : L145 - L152
  • [10] INTEGRABILITY AND BIFURCATIONS OF LIMIT CYCLES IN A CUBIC KOLMOGOROV SYSTEM
    Feng, Li
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2013, 23 (04):
12345