Algebraic First Integrals of the Polynomial Systems Satisfying the Cauchy-Riemann Conditions

被引：2

作者：

Volokitin, Evgenii P. ^{[1
,2
]}

机构：

[1] Sobolev Inst Math, Novosibirsk 630090, Russia

[2] Novosibirsk State Univ, Novosibirsk 630090, Russia

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2016年 / 15卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

Darboux integrability; Polynomial integrals; Rational integrals; DARBOUX INTEGRABILITY;

D O I：

10.1007/s12346-015-0174-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider polynomial planar systems of ordinary differential equations that can be written in the form We describe the classes of such systems that have rational first integrals and study some properties of these integrals.

引用

页码：575 / 596

页数：22