Analytic invariant manifolds for sequences of diffeomorphisms
type: Item
instance of: scholarly article
title: Analytic invariant manifolds for sequences of diffeomorphisms
zbMATH Open document ID: 1144.37009
author: Luís Barreira
author: Claudia Valls
published in: Journal of Differential Equations
publication date: 2008-06-26T00:00:00Z
review text: 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.
reviewed by: Angela Slavova
Mathematics Subject Classification ID: 37D10
Mathematics Subject Classification ID: 37D25
zbMATH DE Number: 5293344
zbMATH Keywords: invariant manifolds
zbMATH Keywords: nonuniform hyperbolicity
MaRDI profile type: Publication
full work available at URL: j.jde.2008.03.025
OpenAlex ID: W1995784003
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DOI: 10.1016/J.JDE.2008.03.025
description: scientific article; zbMATH DE number 5293344