engleski

Admissibility, a general type of Lipschitz shadowing and structural stability

For a general one-sided nonautonomous dynamics defined by a sequence of linear operators, we consider the notion of a uniform exponential dichotomy and we characterize it completely in terms of the admissibility of a large class of function spaces. We apply those results to show that structural stability of a diffeomorphism is equivalent to a very general type of Lipschitz shadowing property. Our results extend those in~\cite{; ; ; ; ; T}; ; ; ; ; in various directions.

admissibility ; exponential dichotomies ; shadowing ; structural stability.

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