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

被引：30
|
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.
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收藏
页码：1 / 16
页数：16
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