Limit cycles produced by Hopf bifurcation in pieacewise smooth near-integrable systems
数学专题报告
报告题目(Title):Limit cycles produced by Hopf bifurcation in piecewise smooth near-integrable systems
报告人(Speaker):田云教授 上海师范大学
地点(Place):腾讯会议(444428885)密码:813717
时间(Time):10月25日 9:00- 10:00
邀请人(Inviter):赵丽琴
报告摘要
In this talk, we consider polynomial near-integrable systems with piecewise smooth perturbations. The asymptotic expansion of the first-order Melnikov function is investigated to obtain the maximal number of small-amplitude limit cycles produced by Hopf bifurcation in the perturbed systems.
主讲人简介
田云,上海师范大学数理学院教授,博士生导师,博士毕业于加拿大西安大略大学应用数学系,从事常微分方程定性理论、计算机符号计算和传染病模型等方向的研究,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、Nonlinear Anal. RWA等国际学术期刊发表学术三十余篇论文。