报告题目: The expansions of Melnikov functions near a degenerate homoclinic loop and their applications 

报 告 人：孙宪波教授，杭州师范大学

报告时间：2023年4月14日 10:00-11:00

报告地点：21幢417

报告摘要: In this topic, we study the expansions of Melnikov functions near a degenerate homoclinic loop in a certain cubic degenerate Hamiltonian system. The maximal number of zeros of M(h) is explored by entulizing the expansions to overcome the difficulty, where the classical methods are not workable. Our results can also reveal the existence of periodic traveling waves in a dissipative Cammas-Holm equation.

报告人简介：孙宪波，杭州师范大学教授，理学博士，硕士生导师。研究方向为微分方程理论及其应用，主要研究弱化希尔伯特第十六问题及其相关问题。在J. Differential Equations、Discrete and Continuous Dynamical Systems-A等国际主流SCI期刊上发表论文30余篇。

邀请人：韩茂安、戴燕飞