报告题目：Response Solutions in Forced Nonlinear Oscillators

报 告 人：易英飞 教授 （University of Alberta & Jilin University）

报告时间：2024年2月24日（星期六） 14:00-15:00

报告地点：澳门正规电子游戏平台114（小报告厅）

邀 请 人：丛洪滋

报告摘要： For a quasi-periodically forced differential equation, response solutions are quasi-periodic ones whose frequency vector coincides with that of the forcing function and they are known to play a fundamental role in the harmonic and synchronizing behaviors of quasi-periodically forced oscillators. These solutions are well-understood in quasi-periodically perturbed nonlinear oscillators either in the presence of large damping or in the non-degenerate cases with small or free damping. This talk will present some recent results on the existence of responsive solutions in degenerate, quasi-periodically forced nonlinear oscillators with small or free damping. The cases with singular or noise perturbations will also be discussed.

报告人简介：易英飞教授，特聘教授，教育部长江讲座教授， 杰出青年基金 （B）获得者, 阿尔伯塔大学 Killiam 讲席教授，佐治亚理工学院兼职教授，Journal of Dynamics and Differential Equations 杂志主编、Journal of Differential Equations、Proceeding of American Math Society等十个杂志的编委，研究方向为动力系统、复杂系统等动力学基础理论。研究成果发表在Comm. Pure Appl. Math, Comm. Math. Phy., Trans. Amer. Math. Soc., J. Func. Anal., Ann. Henri Poincare等学术期刊共 80 余篇，引用 2000余次。