Darboux integrability and reversible quadratic vector fields

被引：11

作者：

Llibre, J ^{[1
]}

Medrado, JC

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, Bellaterra 08193, Barcelona, Spain

[2] Univ Fed Goias, Inst Matemat & Estat, BR-74011970 Goiania, Go, Brazil

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2005年 / 35卷 / 06期

关键词：

Darboux integrability; reversible vector fields;

D O I：

10.1216/rmjm/1181069627

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we improve the Daxboux theory of integrability for reversible polynomial vector fields in R-n, and we classify the phase portraits of all W-reversible quadratic polynomial vector fields of R-2 such that the dimension of the set of fixed points of phi is equal to one.

引用

页码：1999 / 2057

页数：59

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