On the Center Problem for p : -q Resonant Polynomial Vector Fields

被引：21

作者：

Romanovski, Valery G. ^{[1
]}

Shafer, Douglas S. ^{[2
]}

机构：

[1] Univ Maribor, Ctr Appl Math & Theoret Phys, SI-2000 Maribor, Slovenia

[2] Univ N Carolina, Dept Math, Charlotte, NC 28223 USA

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2008年 / 15卷 / 05期

关键词：

center; focus quantity; polynomial vector field; resonant;

D O I：

10.36045/bbms/1228486413

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define the center variety for families of p : -q resonant polynomial vector fields and prove the correctness of the definition. We also derive an algorithm for computing the focus quantities of such vector fields.

引用

页码：871 / 887

页数：17

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