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Seminar on analytic theory of differential equations
November 30, 2016 14:30, Moscow, Steklov Mathematical Institute, Room 440 (8 Gubkina)
 


The shadowing lemma

Anton Zhevrenchuk
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MP4 358.6 Mb

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Anton Zhevrenchuk


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Abstract: A dynamical system has the shadowing property if every pseudo-trajectory has a close genuine trajectory. In 1967 Anosov proved that in a sufficiently small neighbourhood of the hyperbolic set of a diffeomorphism, the shadowing property holds. This result has been called "the shadowing lemma" and has played a key role for the progress of the shadowing theory in dynamical systems. In the talk I will explain the classical shadowing lemma and some similar results obtained later.

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