Chain components with stably limit shadowing property are hyperbolic
type: Item
instance of: scholarly article
title: Chain components with stably limit shadowing property are hyperbolic
zbMATH Open document ID: 1417.37108
DOI: 10.1186/1687-1847-2014-104
author: Manseob Lee
author: Junmi Park
published in: Advances in Difference Equations
publication date: 2019-02-08T00:00:00Z
Mathematics Subject Classification ID: 37C50
Mathematics Subject Classification ID: 34D10
zbMATH DE Number: 7018336
zbMATH Keywords: hyperbolic
zbMATH Keywords: limit shadowing
zbMATH Keywords: shadowing
zbMATH Keywords: homoclinic class
zbMATH Keywords: chain component
Wikidata QID: Q59322608
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1186/1687-1847-2014-104
OpenAlex ID: W2132903272
cites work: Hyperbolicity of \(C^1\)-stably expansive homoclinic classes
cites work: \( C^1\)-stable shadowing diffeomorphisms
cites work: C1-stably shadowable chain components
cites work: Pseudo-orbit tracing property and strong transversality of diffeomorphisms on closed manifolds
cites work: On \(C^1\)-persistently expansive homoclinic classes
cites work: \(C^1\)-stably shadowable chain components are hyperbolic
cites work: Shadowing in dynamical systems
cites work: Hyperbolic sets with the strong limit shadowing property
cites work: Sets of dynamical systems with various limit shadowing properties
cites work: Hyperbolicity and types of shadowing for \(C^1\) generic vector fields
cites work: Necessary Conditions for Stability of Diffeomorphisms
cites work: Diffeomorphisms satisfying the specification property
cites work: An ergodic closing lemma
cites work: Q3032988
cites work: On almost specification and average shadowing properties
description: scientific article; zbMATH DE number 7018336