报告题目：On the dynamics of quasi-periodically perturbed homoclinic solutions

报 告 人： Prof. Kening Lu

   Brigham Young University, USA
 
 
报告时间：2013年8月5日 星期一 
         下午 15:30-16:30
         

报告地点：管理科研楼室1518教室

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. This is a joint work with Wen Huang and Qiudong Wang.
 
主办单位: 0029cc金沙贵宾会

         中科院吴文俊数学重点实验室