Non-perturbative reducibility of three dimensional skew symmetric systems without any non-degeneracy condition
数学公众报告(120周年校庆系列第45场)
报告题目(Title)：Non-perturbative reducibility of three dimensional skew symmetric systems without any non-degeneracy condition
报告人(Speaker)：张东峰 副教授 （东南大学）
地点(Place)：腾讯会议 ID：608-535-338
时间(Time)：2022 年 10 月 14 日（周五） 15:00--16:00
邀请人(Inviter)：黎雄
报告摘要
In this talk we consider three dimensional skew symmetric systems with Liouvillean basic frequencies. Under some non-resonant conditions about the basic frequencies and the eigenvalues of the constant matrix and without any non-degeneracy condition, it is proved that for many sufficiently small parameters, this system can be reduced to a rotation system. Furthermore, this system can be reduced to a constant system.
主讲人简介
张东峰，东南大学副教授，硕士生导师，主要研究方向为哈密顿系统和KAM理论。主持国家自然科学基金2项，教育部自然基金1项，省自然科学基金1项。 在 ETDS、JDE、MZ等国内外重要数学期刊上发表多篇论文。
