INTEGRABILITY OF A LINEAR CENTER PERTURBED BY A FIFTH DEGREE HOMOGENEOUS POLYNOMIAL

被引：49

作者：

Chavarriga, Javier ^{[1
]}

Gine, Jaume ^{[1
]}

机构：

[1] Univ Lleida, Escola Tecn Super Engn Agr, Avda Alcalde Rovira Roure 177, Lleida 25006, Spain

来源：

PUBLICACIONS MATEMATIQUES | 1997年 / 41卷 / 02期

关键词：

Center-focus problem; integrable systems in the plane;

D O I：

10.5565/PUBLMAT_41297_02

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work we study the integrability of two-dimensional autonomous system in the plane with linear part of center type and non-linear part given by homogeneous polynomials of fifth degree. We give a simple characterisation for the integrable cases in polar coordinates. Finally we formulate a conjecture about the independence of the two classes of parameters which appear on the system; if this conjecture is true the integrable cases found will be the only possible ones.

引用

页码：335 / 356

页数：22