On the dynamics of bi-Lyapunov stable chain recurrence classes

主讲人：王晓东，上海交通大学研究员

时间：2019年4月15日10：30

地点：徐汇校区三号楼332

举办单位：数理学院

内容介绍：In this talk, we recall some classical results on (bi-)Lyapunov stable chain  recurrence classes. We prove that for generic $f\in \diff^1(M)$, a homoclinic  class $H(p)$ is bi-Lyapunov stable if and only if it contains non-empty  interior. We also obtain some properties of the boundary of a bi-Lyapunov stable  homoclinic class $H(p)$ if it does not coincides with the whole manifold $M$.  This is a joint work with S. Crovisier.