Smooth center manifolds for random dynamical systems
type: Item
instance of: scholarly article
title: Smooth center manifolds for random dynamical systems
zbMATH Open document ID: 1357.60062
DOI: 10.1216/RMJ-2016-46-6-1925
author: Peng Guo
author: Jun Shen
published in: Rocky Mountain Journal of Mathematics
publication date: 2017-01-10T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.rmjm/1483520433
review text: The authors prove existence and Hölder continuity of local smooth center-unstable, center-stable and center manifolds for time-discrete non-linear random dynamical systems and they derive tempered-from-above estimations for the derivatives of all order. To achieve this result, they use a cut-off procedure and the Lyapunov-Perron technique.
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 37H10
Mathematics Subject Classification ID: 37D10
Mathematics Subject Classification ID: 34F05
zbMATH DE Number: 6673138
zbMATH Keywords: random dynamical systems
zbMATH Keywords: smoothness
zbMATH Keywords: center manifolds
zbMATH Keywords: center-stable manifolds
zbMATH Keywords: center-unstable manifolds
reviewed by: Guy Jumarie
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 6673138