Polynomial differential systems with even degree have no global centers

被引：8

作者：

Llibre, Jaume ^{[1
]}

Valls, Claudia ^{[2
]}

机构：

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

[2] Univ Lisbon, Inst Super Tecn, Dept Matemat, Av Rovisco Pais, P-1049001 Lisbon, Portugal

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 503卷 / 01期

基金：

欧盟地平线“2020”;

关键词：

Global centers; Polynomial differential system; Poincare compactification;

D O I：

10.1016/j.jmaa.2021.125281

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let (x) over dot = P(x, y), (y) over dot = Q(x, y) be a differential system with Pand Qreal polynomials, and let d = max{deg P, deg Q}. A singular point pof this differential system is a global center if R-2\{p} is filled with periodic orbits. We prove that if dis even then the polynomial differential systems have no global centers. (C) 2021 Elsevier Inc. All rights reserved.

引用

页数：5

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