珠海数学杰出学者讲座第8讲- Response solutions in degenerate, quasi-periodically forced nonlinear oscillators

讲座时间 Datetime: 2023年1月4日，星期三，10：00-12：30

地点 Venue: 腾讯线上会议： 350478258

主持人 Host：赵育林 教授

报告人 Speaker：易英飞 教授

单位 Affiliation: 吉林大学、阿尔伯塔大学

报告摘要 Abstract：

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 case with noise perturbation will also be discussed.

报告人简介：

易英飞教授，吉林大学柔性引进人才特聘教授，杰出青年基金 （B）获得者, 阿尔伯塔大学 Killiam 讲座教授，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、SIAM DSweb 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。在国际期刊发表文章 80 余篇，引用 2000余次。