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【数理】On the dynamics of quasi-periodically perturbed homoclinic solutions

发布日期: 2016-12-02  作者: 网站 管理员   浏览次数: 749   返回


 

时间:127日(周三)1000-1130
地点:3号楼3楼会议室
主讲人:Kening Lu教授,Brigham Young University
题目:On the dynamics of quasi-periodically perturbed homoclinic solutions

摘要:
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.
 


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