Three-Dimensional Lotka-Volterra Systems with 3:-1:2-Resonance

被引：3

作者：

Aziz, Waleed ^{[1
,2
]}

Christopher, Colin ^{[3
]}

Llibre, Jaume ^{[4
]}

Pantazi, Chara ^{[5
]}

机构：

[1] Salahaddin Univ Erbil, Coll Sci, Dept Math, Erbil, Kurdistan Regio, Iraq

[2] Tishk Int Univ, Fac Sci, Informat Technol Dept, Erbil Krg, Iraq

[3] Plymouth Univ, Sch Engn Comp & Math, Plymouth PL4 8AA, Devon, England

[4] Univ Autonoma Barcelona, Dept Matemat, Edifici C, Barcelona 08193, Spain

[5] Univ Politecn Catalunya EPSEB, Dept Matemat, Av Doctor Maranon 44-50, Barcelona 08028, Spain

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2021年 / 18卷 / 04期

基金：

欧盟地平线“2020”;

关键词：

Lotka-Volterra; integrability; linearizability; Jacobi multiplier; INTEGRABILITY; LINEARIZABILITY; INTEGRALS;

D O I：

10.1007/s00009-021-01809-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the local integrability at the origin of a nine-parameter family of three-dimensional Lotka-Volterra differential systems with (3:- 1:2)-resonance. We give necessary and sufficient conditions on the parameters of the family that guarantee the existence of two independent local first integrals at the origin of coordinates. Additionally, we classify those cases where the origin is linearizable.

引用

页数：24

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