科学研究
学术报告
当前位置: 学院主页 > 科学研究 > 学术报告 > 正文

Stable and Chaotic Dynamics in Certain Quasi-periodically Forced Differential Equations

发布时间:2022-05-27 作者: 浏览次数:
Speaker: 吕克宁 DateTime: 2022年5月30日(周一)上午10:00-11:00
Brief Introduction to Speaker:
吕克宁,教授,四川大学。

Place: 腾讯会议:233205833
Abstract:We study the complicated dynamics of quasi-periodically perturbed ordinary differential equations with a homoclinic orbit to a dissipative saddle point. We show that there are four regions of parameters in which the equations have respectively: (1) attracting quasi-periodic integral manifolds of Levinson type; (2) transition to chaos; (3) strange attractors;(4) homoclinic tangles. In the case of homoclinic tangles, we not only obtain the results on horseshoes similar to the existing ones, but also give a comprehensive geometric description of the structures of tangles. This is a joint work with Wen Huang and Qiudong Wang.