Analytic invariant manifolds for sequences of diffeomorphisms
In this paper the existence of analytic invariant manifolds for trajectories of real analytic maps is proved in the case when these trajectories satisfy the weakest possible hyperbolic behavior. The authors study the case of nonuniform exponential dichotomies and obtain stable manifolds (and unstable manifolds). In the case of nonuiform exponential trichotomies center manifolds are obtained. Moreover, the more general case of sequences of maps is considered corresponding to a nonautonomous dynamics in discrete time.
scientific article; zbMATH DE number 5293344
scientific article