DIFFEOMORPHISM WITH A GENERALIZED LIPSCHITZ SHADOWING PROPERTY

发布者:文明办发布时间:2019-04-12浏览次数:72


主讲人:文晓 北京航天航空大学 副教授


时间:2019年4月15日9:45


地点:徐汇校区三号楼332


举办单位:数理学院


内容介绍:Pilyugin and Tikhomirov proved that Lipschitz shadowing property implies the  structural stability and Todorov proved a similar result that a Lipschitz  two-sided limit shdowing property also implies structural stability for  diffeomorpshisms. In this talk, we define a general type of the Lipschitz  shadowing property which covers the previous two kinds of Lipschitz shadowing  property, and prove that if a diffeomorphism $f$ of a compact smooth manifold  $M$ has this general type of the Lipschitz shadowing property then it is  structurally stable. This is a joint work with Manseob Lee and Jumi Oh.