Stably asymptotic average shadowing property and dominated splitting

DOI10.1186/1687-1847-2012-25zbMath1285.37008OpenAlexW2014735445WikidataQ59270983 ScholiaQ59270983MaRDI QIDQ2447999

Manseob Lee

Publication date: 29 April 2014

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-25

zbMATH Keywords

dominated splittingtransitivechain transitiveasymptotic average shadowing

Mathematics Subject Classification ID

Generic properties, structural stability of dynamical systems (37C20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Partially hyperbolic systems and dominated splittings (37D30)

Related Items

Unnamed Item ⋮ Volume-preserving diffeomorphisms with the \(\mathcal{M}_0\)-shadowing properties ⋮ Ergodic properties of systems with asymptotic average shadowing property ⋮ Diffeomorphisms with the \(\mathcal{M} _0\)-shadowing property ⋮ A type of the shadowing properties for generic view points ⋮ CHAIN COMPONENTS WITH THE STABLE SHADOWING PROPERTY FOR C¹ VECTOR FIELDS

Cites Work

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• Asymptotic average shadowing property on compact metric spaces
• \(C^1\)-stably weakly shadowing homoclinic classes admit dominated splittings
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• An ergodic closing lemma
• The asymptotic average shadowing property and transitivity
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• DOMINATED SPLITTING WITH STABLY EXPANSIVE
• Perturbations of the derivative along periodic orbits
• Global dominated splittings and the $C^1$ Newhouse phenomenon
• Stably inverse shadowable transitive sets and dominated splitting