Orbit shifted shadowing property of generalized Lozi maps
type: Item
instance of: scholarly article
title: Orbit shifted shadowing property of generalized Lozi maps
zbMATH Open document ID: 1223.37050
author: Akio Sakurai
published in: Taiwanese Journal of Mathematics
publication date: 2011-05-06T00:00:00Z
review text: This paper studies some shadowing property of certain piecewise hyperbolic maps introduced by Young, which are generalized from a two-parameter family of planar maps presented by Lozi. The author investigates a certain shadowing property in which he shifts some entries of pseudo-orbits by rule instead of shifting parameters of maps, called the orbit-shifted shadowing property; and showed that certain piecewise Lozi-like maps enjoy this property. The proofs are not difficult but still rigorous. The results are only restricted to one class of systems and should be extended to a general class of hyperbolic systems with strong statistical properties.
reviewed by: Hongkun Zhang
Mathematics Subject Classification ID: 37D50
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37C50
zbMATH DE Number: 5885185
zbMATH Keywords: shadowing property
zbMATH Keywords: Lozi-like maps
zbMATH Keywords: piecewise hyperbolic
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.11650/twjm/1500405971
OpenAlex ID: W1833819763
DOI: 10.11650/TWJM/1500405971
description: scientific article; zbMATH DE number 5885185