学术动态

学术讲座(田云)

发布者:郭影玲发布时间:2023-05-10浏览次数:14

报告题目:Limit cycles near homoclinic and heteroclinic loops under small perturbations

报告人:田云 博士生导师

邀请人:陈挺

时间:2023/05/12 8:45~10:45

地点:腾讯会议 ID:941-448-494

报告提纲:

In this talk, we use (high-order) Melnikov functions to study bifurcations of limit cycles around homoclinic and heteroclinic loops in near-Hamiltonian systems with small perturbations. New lower bounds are obtained for the number of limit cycles produced around homolinic and heterclinic loops in planar cubic systems.

报告人简介:

田云,现任上海师范大学数理学院教授,博士生导师,主要从事微分方程定性理论、计算机符号计算和传染病模型等方面研究,特别关注弱化的Hilbert第16问题、同宿异宿极限环分支和规范型的符号计算等相关问题。近年来,在JDE、Commun. Nonl. Sci. Numer. Simul和Nonlinear Anal. RWA等本领域主流期刊发表学术三十余篇论文。主持国家自然科学基金项目两项,入选上海青年东方学者和上海市青年科技启明星计划。