关于杭州师范大学孙宪波教授来校讲学的预告

应数学与计算科学学院、广西应用数学中心（太阳成集团tyc122cc）及广西高校数据分析与计算重点实验室邀请，杭州师范大学数学学院孙宪波教授将于2024年12月18日来校讲学，欢迎全校师生踊跃参加。报告具体安排如下：

报告题目：Bifurcation of Limit cycles from a heteroclinic loop connecting a tangent non-Morse point and a hyperbolic saddle

主讲人：孙宪波教授

时间：2024年12月18日（周三）下午15:00—16:30

地点：花江校区慧谷4号楼3楼310会议室

报告摘要：We study the limit cycles that bifurcate from a heteroclinic loop in a cubic non-elliptic Hamiltonian system by Melnikov functions of any order. The heteroclinic loop connects a non-Morse point and a hyperbolic saddle. We establish the asymptotic expansions of the Melnikov functions near this heteroclinic loop in near-Hamiltonian systems and provide the formulas of its first seven coefficients. As For a cubic degenerate Hamiltonian system, subject to $n$th-degree polynomial perturbations, we derive the precise number of limit cycles near the loop by using the first-order Melnikov function. When $n=3$, we obtain 3, 5, 6 and 1 limit cycle bifurcating from the heteroclinic loop by the first, second, third and forth order Melnikov functions, respectively.

主讲人简介：孙宪波，杭州师范大学数学学院教授，博士生导师。研究方向为微分方程定性理论及其应用，在JDE，SCM，DCDS B，JSC，BSM等国际主流SCI期刊上发表学术论文三十余篇，主持结题三项国家自然科学基金及多项省部级项目。现主持一项国家自然科学基金。