中科院吴文俊数学重点实验室动力系统系列报告之九--II

时间:2011-10-21

 

题  目: On the Dynamics of Heteroclinic Tangles
 
报告人: 陈凤娟 教授  浙江师范大学 

时  间:10月26号下午5:00-6:00

地  点:管理科研楼1518

摘  要:We study the dynamics of heteroclinic tangles in periodically perturbed second order equations. Let $/mu$ be the size of the perturbation and $/lambda_/mu$ be the heteroclinic tangles. We prove that (i) for all small $/mu$, $/lambda_/mu$ contain nothing else but a horseshoe of infinitely many branches; (ii) for infinitely many $/mu$, $/lambda_/mu$ contain nothing else but one sink and one horseshoe of infinitely many branches; and (iii) there are positive measure set of $/mu$ so that $/lambda_/mu$ admits strange attractors with Sinai-Ruelle-Bowen measure.

 

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