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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