| 具有中心、鞍点、结点型的可积非Hamilton系统在二次扰动下的Abel积分 |
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| 引用本文： | 王洋,宋燕.具有中心、鞍点、结点型的可积非Hamilton系统在二次扰动下的Abel积分[J].渤海大学学报(自然科学版),2008,29(3). |
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| 作者姓名： | 王洋 宋燕 |
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| 作者单位： | 渤海大学数学系,辽宁,锦州,121013 |
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| 摘 要： | 讨论具有中心、鞍点、结点的平面可积非Hamilton系统在二次扰动下的Abel积分零点个数问题。证明了该系统的Abel积分零点个数的上确界为1。
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| 关 键 词： | 非Hamilton系统 Abel积分，Picard-Fuchs方程 Riccati方程 |
Abelian integrals under quadratic perturbation for integrable non-Hamilton system with center,saddle and node |
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| WANG Yang,SONG Yan.Abelian integrals under quadratic perturbation for integrable non-Hamilton system with center,saddle and node[J].Journal of Bohai University:Natural Science Edition,2008,29(3). |
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| Authors: | WANG Yang SONG Yan |
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| Institution: | Department of Mathematics;Bohai University;Jinzhou;121013;China |
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| Abstract: | The number of zero points is discussed for Abelian integrals under quadratic perturbation for integrable non-Hamilton system with center,saddle and node.It proves that the upper limit for the number of zero point is l in the Abelian integrals. |
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| Keywords: | non-Hamilton system Abelian integrals Picard-Fuchs equation Riccati equation |
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