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一类单中心三次Hamilton系统的Abel积分零点个数

ZHANG Yongkang,LI Baoyi,SUI Shiyou

Journal of Tianjin Normal University(Natural Science Edition)（2023）

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Abstract
研究一类单中心三次Hamilton系统在n次多项式扰动下的Abel积分零点个数.利用Abel积分代数结构的特殊性,通过连续求导对其进行降阶,得到了Abel积分孤立零点个数较小的上界,改进了相关文献的结果.
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Key words
Hamiltonian systems,Abelian integral,Picard-Fuchs equations
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