报告人：黄文 教授 （中国科技大学）

报告题目: Stable Sets and Chaos in Positive Entropy Systems

报告摘要: In this talk, I will present the chaotic phenomenon of a dynamical system with positive entropy. It is shown that a dynamical system has positive entropy if and only if it has a weak horseshoe. Particularly, I will show that a Lorentz attractor has a weak horseshoe. Moreover, I will present the Hausdorff dimension and the chaotic behavior of stable sets and unstable sets in a C1-diffeomorphism system with positive entropy. The lower bound of the Hausdorff dimension of these stable sets and unstable sets is given in terms of the metric entropy and the largest Lyapunov exponent.

报告人简介：主要开展拓扑动力系统与遍历理论的研究，已在Mem.Amer.Math.Soc.、Comm.Pure Appl.Math.、Adv.Math等学术期刊上接受发表论文60余篇。获得了2005年度全国优秀博士学位论文、2012年度国家杰出青年基金。

报告时间：2017年6月26日（星期一）上午10：00--11：00
报告地点：科技楼南楼602