一类五次系统的中心条件和极限环分支

The central condition and limit cycles bifurcation for a class of fifth degree system

本文利用计算机代数系统Mathematica,计算并化简了一类五次系统的焦点量,同时得出了该系统的三个不同奇点成为中心的条件与极限环分支的情况.

In this paper,The focal values of a class of fifth degree system are figure out and simplified by using Mathematica.At the same time, the condition that three singular points can be centers is obtained,the bifurcation of limit cycles is investigated.