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

报告时间: 2023年4月4日(星期二), 19:00-19:45

报告地点: 腾讯会议 305 524 828

内容摘要: 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. An algorithm is constructed for the computation of the coefficients of the corresponding expansion of the first order Melnikov functions. 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，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的研究工作，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，已发表学术论文30余篇。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。

欢迎感兴趣的老师和同学参加！

数学与系统科学学院