Bounded polynomial vector fields in R2 and Rn

被引：4

作者：

Barreira, Luis ^{[1
]}

Llibre, Jaume ^{[2
]}

Valls, Claudia ^{[1
]}

机构：

[1] Univ Lisbon, Inst Super Tecn, Dept Matemat, P-1049001 Lisbon, Portugal

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

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年 / 268卷 / 08期

基金：

欧盟地平线“2020”;

关键词：

Bounded polynomial vector fields; Topological index; Poincare compactification; LIMIT-CYCLES; BIFURCATIONS;

D O I：

10.1016/j.jde.2019.10.023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize the bounded polynomial vector fields in R-2. Additionally we provide a necessary condition but not sufficient which must be satisfied by bounded polynomial vector fields in R-n. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：4416 / 4422

页数：7

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