Inverse limits with the shadowing property

DOI10.1016/j.topol.2022.108384OpenAlexW4311459811MaRDI QIDQ2679799

Nilson C. jun. Bernardes

Publication date: 26 January 2023

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2022.108384

zbMATH Keywords

shadowing propertyinverse limitschain transitivitychain recurrenceMittag-Leffler conditioninverse systems of dynamical systems

Mathematics Subject Classification ID

Uniform structures and generalizations (54E15) 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

• Various types of shadowing and specification on uniform spaces
• Shadowing in dynamical systems
• Spectral decomposition for topologically Anosov homeomorphisms on noncompact and non-metrizable spaces
• Topological chain and shadowing properties of dynamical systems on uniform spaces
• Shadowing, finite order shifts and ultrametric spaces
• Shifts of finite type as fundamental objects in the theory of shadowing
• Preservation of shadowing in discrete dynamical systems
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