一类Kukles系统的Abel积分零点个数上界

Upper Bound Estimate on the Number of Zeros of Abelian Integrals for a Class of Kukles System

利用Kukles系统的精确解,研究了该系统在n次小扰动下的Abel积分零点个数上界问题,简洁地得到了它的上界估计.

In this paper, we apply precision solution of Kukles System to study an upper bound on the number of zeros of Abelian integrals for this system under polynomial perturbation of arbitrary degree, and obtain its an upper bound succinctly.