Invariant algebraic curves and rational first integrals for planar polynomial vector fields

被引：33

作者：

Chavarriga, J

Llibre, J

机构：

[1] Univ Lleida, Dept Matemat, Lleida 25001, Spain

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

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2001年 / 169卷 / 01期

关键词：

D O I：

10.1006/jdeq.2000.3891

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present three main results. The first two provide sufficient conditions in order that a planar polynomial vector field in C-2 has a rational first integral, and the third one studies the number of multiple points that an invariant algebraic curve of degree n of a planar polynomial vector field of degree m can have in function of m and n. (C) 2001 Academic Press.

引用

页码：1 / 16

页数：16

共 22 条

[1]

CAIRO L, 2000, RESENHAS U SAO PAULO, V4, P127

[2] Proximity inequalities and bounds for the degree of invariant curves by foliations of P-C(2) [J].