2016中南大学学术报告：A Class of 3-Dimensional Quadratic Systems with 10 Limit Cycles

一、报告题目

A Class of 3-Dimensional Quadratic Systems with 10 Limit Cycles

二、报告人

杜超雄教授

三、报告时间

2016年11月25日下午14:30-15:30

四、报告地点

数学与统计学院一楼学术报告厅（145）

五、报告摘要

This talk is concerned with a class of 3-Dimensional quadratic systems with two symmetric singular points which can yield 10 small limit cycles. By means of singular value method, we obtain the expressions of the first 5 focal values of the two singular points. Both singular symmetric points can be fine foci of 5th order at the same time. Moreover, each one can bifurcate 5 small limit cycles under a certain coefficients- perturbed condition, and consequently, at least 10 limit cycles can appear by simultaneous Hopf bifurcation.

六、报告人简介

杜超雄，博士，邵阳学院教授。主要从事微分方程定性理论与极限环分支的研究，在平面微分系统高次奇点、无穷远奇点与极限环分支等研究领域取得了一系列学术成果，在国内外知名学术刊物发表论文40余篇。主持省部级研究课题多项。