| 桑波.一类六次微分系统的非退化中心问题[J].数学年刊A辑,2013,34(6):709~716 |
| 一类六次微分系统的非退化中心问题 |
| The Nondegenerate Center Problem for a Family of Sixth Order Differential Systems |
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| DOI： |
| 中文关键词: 焦点量, 一致等时中心, 时间可逆, 特征集 |
| 英文关键词:Focal quantities, Uniformly isochronous center, Time-reversible,
Characteristic-sets |
| 基金项目:国家自然科学基金 (No.10871214) |
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| 中文摘要: |
| 通过改进的形式级数法, 讨论了一类六次一致等时微分系统的非退化中心判定问题, 基于吴特征集法
给出系统具有等时中心的21组系数条件,这些条件是充要的. |
| 英文摘要: |
| Through the improved formal power series method, the nondegenerate center
determination problem of a family of sixth order uniformly isochronous differential systems is
investigated. By Wu’s characteristic-sets method, twenty-one coefficient conditions ensuring
the origin to be isochronous center are found, which are both necessary and sufficient. |
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