Centers of quasi-homogeneous polynomial planar systems

被引：0

作者：

Rahimabadi, A. ^{[1
]}

Taghirad, H. D. ^{[1
]}

机构：

[1] KN Toosi Univ Technol, ICCE, Fac Elect Engn, POB 16315-1355, Tehran, Iran

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2017年 / 37卷

关键词：

Quasi-homogeneous; Center problem; Monodromy; Reversibility; Integrability;

D O I：

10.1016/j.nonrwa.2017.01.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe a counter-example which shows that (2) of theorem (11) in Algaba et al. (2012) is not correct. This part of the theorem, pinpoints whether the origin of quasi-homogeneous system (15) in Algaba et al. (2012) is a center or not. It is shown in this note that the given necessary and sufficient conditions of theorem (11), in Algaba et al. (2012) axe not complete. (C) 2017 Published by Elsevier Ltd.

引用

页码：213 / 216

页数：4