A Moser's non-twist theorem and its application to Lagrange stability
数学公众报告(120周年校庆系列第50场)
报告题目(Title)：A Moser's non-twist theorem and its application to Lagrange stability
报告人(Speaker)：徐君祥教授 （东南大学）
地点(Place)：腾讯会议 ID：166-553-718
时间(Time)：2022 年 10 月 28 日（周五） 15:00--16:00
邀请人(Inviter)：黎雄
报告摘要
In this paper, we consider a family of nearly integrable mappings on annulus, which has self-intersection property and depends on a small parameter. Without any twist condition, we prove that for many sufficiently small parameters the mappings admit an invariant closed curve. Moreover, by the non-twist theorem we prove Lagrange stability of asymptotic linear Duffing equations under weaker nonlinear assumptions. Comparing to previous works, we avoid some assumptions which are usually required to guarantee the twist condition.
主讲人简介
徐君祥，教授，博士生导师。1962年5月出生。1995年博士毕业于南京大学数学专业。主要从事哈密顿系统与KAM理论问题的研究，在近可积哈密顿系统，保积映射，拟周期系统等有关的KAM理论方面，都取得过一些有意义的成果。主持完成多项国家自然科学基金项目。主要工作发表在 Math. Z., J Pure Math Appl., J. D. E. SIAM J. Math Anal，中国科学等国内外重要数学刊物上. 2018年获得教育部自然科学二等奖。
