Video library: D. V. Anosov, On behaviour of trajectories near hyperbolic sets

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Sixth International Conference on Differential and Functional Differential Equations DFDE-2011 August 15, 2011 14:30, Moscow

On behaviour of trajectories near hyperbolic sets D. V. Anosov Steklov Mathematical Institute, Moscow, Russia
Abstract: Let $F$ and $F'$ be hyperbolic sets of diffeomorphisms $f$ and $f'$ respectively. Suppose that the restrictions $f\|_F$ and $f'\|_{F'}$ are topologically conjugated by a homeomorphism $h$. Then a restriction of $f$ to an invariant set comprised by all trajectories of $f$ that are close to $F$, and a restriction of $f'$ to a set of all trajectories of $f'$ that are close to $F'$, are conjugated by a homeomorphism $H$, which is an extenstion of $h$. Language: English