Center manifolds and optimal estimates
type: Item
instance of: scholarly article
title: Center manifolds and optimal estimates
zbMATH Open document ID: 1353.37038
author: Luís Barreira
author: Claudia Valls
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 2014-06-18T00:00:00Z
review text: Let \((A_n)_{n\in\mathbb{Z}}\) be a family of invertible bounded linear operators on a Banach space \(X\) and consider the \(C^k\) maps \(f_n:X\to X\), \(n\in\mathbb{Z}\), with certain conditions such that \(F_n=A_n+f_n\) is invertible. The aim of the paper is to prove the existence of center manifolds for the dynamics \[ v_{n+1}=F_n (v_n),\; n\in\mathbb{Z}. \] The authors consider the general case of a discrete nonautonomous dynamics with nonuniform exponential trichotomy.
reviewed by: Nicolae Lupa
Mathematics Subject Classification ID: 37B55
Mathematics Subject Classification ID: 37D10
Mathematics Subject Classification ID: 37D25
zbMATH DE Number: 6305044
zbMATH Keywords: center manifolds
zbMATH Keywords: nonuniform exponential trichotomies
zbMATH Keywords: optimal estimates
MaRDI profile type: Publication
full work available at URL: s10231-012-0285-7
OpenAlex ID: W2086595034
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DOI: 10.1007/S10231-012-0285-7
description: scientific article; zbMATH DE number 6305044