一类双中心平面二次系统的Abel积分零点个数

邵仪;赵育林;

数学学报 ›› 2007, Vol. 50 ›› Issue (2) : 451-460.

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PDF(488 KB)
数学学报 ›› 2007, Vol. 50 ›› Issue (2) : 451-460. DOI: 10.12386/A2007sxxb0053
论文

一类双中心平面二次系统的Abel积分零点个数

    邵仪;赵育林;
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The Number of Zeros of Abelian Integrals for A Class of Plane Quadratic Systems with Two Centres

    Yi SHAO(1); Yu Lin ZHAO(2)
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摘要

利用Abel积分与第一、第二型完全椭圆积分,本文研究一类具有两个中心奇点的平面二次系统在n次小扰动下的Abel积分零点个数上界问题,得到了较小的上界估计.

Abstract

In this paper,we apply Abelian integrals and complete elliptic integrals of the first,second kinds to study an upper bound on the number of zeros of Abelian integrals for a class of the plane quadratic systems with two centres,under polynomial perturbation of arbitrary degree n.We obtain a smaller upper bound of zeros of Abelian integrals.

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Abel积分 / 二次系统 / 完全椭圆积分

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邵仪;赵育林;. 一类双中心平面二次系统的Abel积分零点个数. 数学学报, 2007, 50(2): 451-460 https://doi.org/10.12386/A2007sxxb0053
Yi SHAO(1); Yu Lin ZHAO(2). The Number of Zeros of Abelian Integrals for A Class of Plane Quadratic Systems with Two Centres. Acta Mathematica Sinica, Chinese Series, 2007, 50(2): 451-460 https://doi.org/10.12386/A2007sxxb0053
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