Approximation of entropy on hyperbolic sets for one-dimensional maps and their multidimensional perturbations
type: Item
instance of: scholarly article
title: Approximation of entropy on hyperbolic sets for one-dimensional maps and their multidimensional perturbations
zbMATH Open document ID: 1213.37058
DOI: 10.1134/S1560354710020097
author: Ming-Chia Li
author: Mikhail Malkin
published in: Regular and Chaotic Dynamics
publication date: 2011-01-14T00:00:00Z
review text: The title reflects well the topic of the paper. More concretely, a positive topological entropy of a piecewise twice continuous differentiable maps can be suitably approximated on special invariant hyperbolic sets. This allows to generalize an earlier joint result of the second author concerning the chaotic behaviour of solutions to difference equations under multidimensional perturbations.
reviewed by: Jan Andres
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 5836793
zbMATH Keywords: topological entropy
zbMATH Keywords: one-dimensional maps
zbMATH Keywords: difference equations
zbMATH Keywords: multidimensional perturbations
MaRDI profile type: Publication
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full work available at URL: s1560354710020097
OpenAlex ID: W2032875369
description: scientific article; zbMATH DE number 5836793