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.
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页数：16
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