The center problem via averaging method

被引：12

作者：

Garcia, Isaac A. ^{[1
]}

Gine, Jaume ^{[1
]}

机构：

[1] Univ Lleida, Dept Matemat, Lleida 25001, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 351卷 / 01期

关键词：

Center problem; Averaging method; LIMIT-CYCLES; NILPOTENT;

D O I：

10.1016/j.jmaa.2008.10.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The averaging method has been used to Study the problem of the determination of the number of hyperbolic limit cycles that can bifurcate from the period annulus Of a center. In this Paper We use the averaging method up to any order in the perturbation parameter to determine the center conditions of monodromic Singular points of analytic planar vector fields. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：334 / 339

页数：6

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