Average shadowing and gluing property

DOI10.1112/MTK.12187zbMath1527.37018arXiv2202.13407OpenAlexW4319443280MaRDI QIDQ6075467

Michael L. Blank

Publication date: 20 September 2023

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.13407

zbMATH Keywords

perturbationsnon-invertible systems

Mathematics Subject Classification ID

Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Symbolic dynamics (37B10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

Cites Work

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• A note on the average shadowing property for expansive maps
• Various shadowing properties for positively expansive maps
• Shadowing in dynamical systems
• A note on Anosov homeomorphisms
• Shadowing and hyperbolicity
• Varios shadowing properties and their equivalence
• On various definitions of shadowing with average error in tracing
• Metric properties of ε-trajectories of dynamical systems with stochastic behaviour
• On almost specification and average shadowing properties
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
• Diffeomorphisms with the average-shadowing property on two-dimensional closed manifolds

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