Integrability of the 2D Lotka-Volterra system via polynomial first integrals and polynomial inverse integrating factors

被引：18

作者：

Cairó, L

Llibre, J

机构：

[1] Univ Orleans, Dept Math MAPMO, UMR 6628, F-45067 Orleans 2, France

[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2000年 / 33卷 / 12期

关键词：

D O I：

10.1088/0305-4470/33/12/308

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present new first integrals of the two-dimensional Lotka-Volterra systems which have a polynomial inverse integrating factor. Moreover, we characterize all the polynomial first integrals of the two-dimensional Lotka-Volterra systems.

引用

页码：2407 / 2417

页数：11

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