Hyperbolicity of \(C^{1}\)-star invariant sets for \(C^{1}\)-class dynamical systems
type: Item
instance of: scholarly article
title: Hyperbolicity of \(C^{1}\)-star invariant sets for \(C^{1}\)-class dynamical systems
zbMATH Open document ID: 1218.37029
author: Xiongping Dai
published in: Science China. Mathematics
publication date: 2011-07-01T00:00:00Z
Mathematics Subject Classification ID: 37C10
Mathematics Subject Classification ID: 37D05
Mathematics Subject Classification ID: 37C27
zbMATH DE Number: 5916779
zbMATH Keywords: autonomous differential system
zbMATH Keywords: star property
zbMATH Keywords: hyperbolicity
MaRDI profile type: Publication
full work available at URL: s11425-010-4090-8
OpenAlex ID: W2143430283
cites work: The set of axiom A diffeomorphisms with no cycles
cites work: Nonsingular star flows satisfy Axiom A and the no-cycle condition
cites work: Adapted metrics for dominated splittings
cites work: Diffeomorphisms in ℱ1(M) satisfy Axiom A
cites work: Q3855865
cites work: Q3854343
cites work: Q3896277
cites work: Q3134622
cites work: An ergodic closing lemma
cites work: A proof of the \(C^ 1\) stability conjecture
cites work: Q5646734
cites work: Robustly expansive homoclinic classes
cites work: Q5654401
cites work: The Closing Lemma
cites work: C1-stably shadowable chain components
cites work: On \(C^1\)-persistently expansive homoclinic classes
cites work: The selecting lemma of Liao
cites work: \(C^1\)-stably shadowable chain components are hyperbolic
DOI: 10.1007/S11425-010-4090-8
description: scientific article; zbMATH DE number 5916779