报告题目:The study of bifurcation of limit cycles from the period annulus of some planar differential systems
报告时间:2025年12月2日(周二)10:00-11:00
报告地点:腾讯会议 439-933-490
主办单位:数学科学学院
报告摘要:In this talk, we will first focus on some new results on the bifurcation of limit cycles from a class of cubic Hamilton systems with many period annuluses, and then introduce some development on the bounds for the maximum number of limit cycles $Z(3,n)$ that the Hamilton system with $H^{\pm }(x,y) = x^2+y^2 $ separated by the curve $y = x^3$, or $x^2$ , under perturbation of arbitrary polynomials of $x, y$ with degree $n$ can have, where $n\in \mathbb{N}$.
主讲人简介:赵丽琴,北京师范大学教授, 博士生导师。长期从事向量场分支理论的研究, 主持并完成多项国家自然科学基金,多年关注Hilbert第16问题和弱化Hilbert第16问题。 在JDE,BSM,NA,DCDS-B, JMAA, QTD, SCIENCE CHINA Mathematics 等国内外杂志上发表论文60多篇。