一类1:2共振的Hamilton系统在分段n次多项式扰动下Abel积分的零点个数
Journal of Tianjin Normal University(Natural Science Edition)（2021）
Abstract
考虑一类1:2共振的Hamilton系统,利用Melnikov函数法和广义Rolle定理证明了当平面分为左右2个区域时,该系统的周期闭轨族Γh在分段n(≥2)次多项式扰动下的Abel积分I(h)的孤立零点个数不超过2n+7[n/2]+1(计重数).
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