Integrability of Lotka-Volterra Planar Complex Cubic Systems

被引：8
|
作者：
Dukaric, Masa [1 ]
Gine, Jaume [2 ]
机构：
[1] Univ Maribor, Ctr Appl Math & Theoret Phys, Krekova 2, SI-2000 Maribor, Slovenia
[2] Univ Lleida, Dept Matemat, Avda Jaume 2,69, Lleida 25001, Catalonia, Spain
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2016年 / 26卷 / 01期
关键词：
Two-dimensional system; first integral; complex cubic system; integrability; LINEARIZABILITY CONDITIONS; CENTERS;
D O I：
10.1142/S0218127416500024
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the Lotka-Volterra complex cubic systems. We obtain necessary conditions of integrability for these systems with some restriction on the parameters. The sufficiency is proved for all conditions, except one which remains open, using different methods.
引用
收藏
页数：16
相关论文
共 50 条
  • [21] Integrability and linearizability for Lotka-Volterra systems with the 3:−q resonant saddle point
    Qinlong Wang
    Wentao Huang
    Advances in Difference Equations, 2014
  • [22] Integrable Lotka-Volterra systems
    Bogoyavlenskij, O. I.
    REGULAR & CHAOTIC DYNAMICS, 2008, 13 (06): : 543 - 556
  • [23] The Integrability and the Zero-Hopf Bifurcation of the Three Dimensional Lotka-Volterra Systems
    Salih, Rizgar H.
    6TH INTERNATIONAL EURASIAN CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (IECMSA-2017), 2018, 1926
  • [24] STABILITY OF LOTKA-VOLTERRA SYSTEMS
    TULJAPURKAR, SD
    NATURE, 1976, 264 (5584) : 381 - 381
  • [25] Integrability and linearizability for Lotka-Volterra systems with the 3: -q resonant saddle point
    Wang, Qinlong
    Huang, Wentao
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [26] Stability of planar waves in a Lotka-Volterra system
    Wang, Xiaohuan
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 259 : 313 - 326
  • [27] Global observer for Lotka-Volterra systems
    Badri, Vahid
    SYSTEMS & CONTROL LETTERS, 2022, 167
  • [28] Lotka-Volterra systems with stochastic resetting
    Mercado-Vasquez, Gabriel
    Boyer, Denis
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2018, 51 (40)
  • [29] On impulsive Lotka-Volterra systems with diffusion
    Struk O.O.
    Tkachenko V.I.
    Ukrainian Mathematical Journal, 2002, 54 (4) : 629 - 646
  • [30] Lotka-Volterra Systems with Periodic Orbits
    Kobayashi, Manami
    Suzuki, Takashi
    Yamada, Yoshio
    FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 2019, 62 (01): : 129 - 155
12345