【上海师范大学】Limit cycles bifurcating from homoclinic and heteroclinic loops under small perturbations

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

报告人：田云 教授（上海师范大学）

报告时间：2022年12月15日（周四）14:00-15:00

腾讯会议号：706 824 189

校内联系人：衣凤岐 教授    联系电话：84708351-8118

报告摘要: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快速计算等相关问题，主要发表在J. Differential Equations、Intern. J. Bifurcations and Chaos、Proc. Royal Soc. A等刊物上。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。