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DIFFEOMORPHISM WITH A GENERALIZED LIPSCHITZ SHADOWING PROPERTY

發布者:文明辦作者:發布時間:2019-04-12瀏覽次數:1238


主講人:文曉 北京航天航空大學 副教授


時間:2019年4月15日9:45


地點:徐匯校區三號樓332


舉辦單位:數理學院


內容介紹: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.

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