| The Center Problem for a Linear Center Perturbed by Homogeneous Polynomials |
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| 作者姓名： | Jaume GINE |
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| 作者单位： | Departament de Matematica, Universitat de Lleida, Av. Jaume II, 69, 25001 Lleida, Spain |
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| 基金项目： | The author is partially supported by a DGICYT grant number BFM 2002-04236-C02-01 and by DURSI of Government of Catalonia ＂Distincid de la Generalitat de Catalunya per a la promocid de la recerca universitaria＂. |
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| 摘 要： |
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| 关 键 词： | 中心问题 非线性微分方程 同类多项式 数学分析 |
| 收稿时间： | 2003-11-26 |
| 修稿时间： | 2003-11-262004-04-19 |
The Center Problem for a Linear Center Perturbed by Homogeneous Polynomials |
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| Jaume GINE.The Center Problem for a Linear Center Perturbed by Homogeneous Polynomials[J].Acta Mathematica Sinica,2006,22(6):1613-1620. |
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| Authors: | Jaume Giné |
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| Institution: | (1) Departament de Matemàtica, Universitat de Lleida, Av. Jaume II, 69, 25001 Lleida, Spain |
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| Abstract: | 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, |
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| Keywords: | Center problem Nonlinear differential equations |
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