The Center Problem for a Linear Center Perturbed by Homogeneous Polynomials

作     者：Jaume GIN■ 

作者机构：Departamentde MatemàticaUniversitat de Lleida Av.Jaume Ⅱ 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2006年第22卷第6期

页      面：1613-1620页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：The author is partially supported by a DGICYT grant number BFM 2002-04236-C02-01 by DURSI of Government of Catalonia"Distincióde la Generalitat de Catalunya per a la promocióde la recerca universitària" 

主　　题：Center problem Nonlinear differential equations 

摘      要：The centers of the polynomial differential systems with homogeneous polynomials have been studied for the degrees s = 2, 3, 4, 5. for s = 2, 3, and partially classified for s = 4, 5. In this paper we recall and we give new centers for s = 6, 7 a linear center perturbed by They are completely classified these results for s = 2, 3, 4, 5,