Abelian integrals for quadratic centres having almost all their orbits formed by quartics
Abelian integrals for quadratic centres having almost all their orbits formed by quartics
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DOI：
10.1088/0951-7715/15/3/321
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发表时间：
2002-05
期刊：
影响因子：
1.7
通讯作者：
Weigu Li;Yulin Zhao;Chengzhi Li;Zhifen Zhang
中科院分区：
文献类型：
--
作者：
Weigu Li;Yulin Zhao;Chengzhi Li;Zhifen Zhang
本文给出了在任意n次多项式扰动下，几乎所有轨道都由四分位构成的二次中心的阿贝尔积分的零点数的上界。这个上界与n线性相关。
In this paper, we give an upper bound on the number of zeros of Abelian integrals for the quadratic centres having almost all their orbits formed by quartics, under polynomial perturbations of arbitrary degree n. The bound is linearly dependent on n.