On the eventual shadowing property and eventually shadowable point of set-valued dynamical systems

DOI10.1007/s10114-022-1041-6zbMath1501.37020OpenAlexW4283389410MaRDI QIDQ2150688

Xue Rong Xie, Jian Dong Yin

Publication date: 30 June 2022

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-022-1041-6

zbMATH Keywords

specificationset-valued dynamical systemeventual shadowing propertyeventually shadowable point

Mathematics Subject Classification ID

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)

Related Items (1)

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Cites Work

• Minimal invariant closed sets of set-valued semiflows
• Implications of pseudo-orbit tracing property for continuous maps on compacta
• Shadowing with chain transitivity
• Properties of shadowable points: chaos and equicontinuity
• On the shadowing property and shadowable point of set-valued dynamical systems
• Multiple recurrence theorems for set-valued maps
• Eventually shadowable points
• Shadowing property, weak mixing and regular recurrence
• Shadowable points
• Invariant Measures for Set-Valued Dynamical Systems
• Quantitative shadowable points
• Orbital shadowing, internal chain transitivity and -limit sets
• The specification property on a set-valued map and its inverse limit

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