报告人: 黄立宏（长沙理工大学）

报告题目：The number and stability of limit cycles for some planar piecewise linear systems

报告摘要：In this talk, we are concerned with the number and stability of limit cycles induced by discontinuity of planar piecewise linear systems of node–saddle type, saddle–focus type and node-focus type with two linear regions. By dividing the entire parameter region into several subregions, the minimum number of limit cycles is derived in each subregion. In particular, we find out parameter subregions where the systems haveat least one, at least two and no limit cycles respectively. In addition for these systems, some sufficient conditions are presented for the existence and stability of a unique one and exactly two limit cycles respectively. Finally, some numerical examples are given to illustrate our results.

报告人简介：黄立宏，博士，教授(二级)，博士生导师，国家级教学名师，享受国务院特殊津贴专家，现任长沙理工大学副校长。主要研究方向为微分方程与动力系统，在SIAM J. Math. Anal.，J. Differential Equations等学术期刊上发表SCI论文两百余篇，出版专著3部，教材10余部。先后主持承担国家自然科学基金面上项目6项，国家对外交流与合作项目3项，省部级项目10余项。曾被列入湖南省新世纪“121人才工程”人选，机械工业部部属院校跨世纪学术骨干培养计划和机械工业部部属院校跨世纪学科带头人培养计划，获得教育部科技进步奖1项、机械工业部科技进步奖2项，湖南省科技进步奖1项。曾先后应邀到加拿大York University, Memorial University of Newfoundland, Wilfrid Laurier University和University of Manitoba访问与合作科研，作为组织委员会主席和学术委员会委员曾多次组织举办国际和全国性学术会议。

报告时间：2019年5月9日（星期四）上午9:30

报告地点：科技楼南602室