Average shadowing and persistence in pointwise dynamics

DOI10.1016/J.TOPOL.2021.107629zbMath1462.37017OpenAlexW3128126450MaRDI QIDQ1998828

Tarun Das, Abdul Gaffar Khan

Publication date: 9 March 2021

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

Full work available at URL: https://doi.org/10.1016/j.topol.2021.107629

zbMATH Keywords

stabilitypersistenceBorel measureaverage shadowing

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

Cites Work

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• Topological stability and pseudo-orbit tracing property for expansive measures
• A note on the average shadowing property for expansive maps
• Shadowable points for flows
• A note on the uniform limit of transitive dynamical systems
• On the set of shadowable measures
• Measure expansivity and specification for pointwise dynamics
• Pointwise topological stability and persistence
• Pointwise dynamics under orbital convergence
• Shadowable points
• Persistence in expansive systems
• Pointwise Topological Stability
• Pointwise Expansion Homeomorphisms
• Mean equicontinuity and mean sensitivity
• Recurrence in persistent dynamical systems
• Unstable Homeomorphisms
• Diffeomorphisms with the average-shadowing property on two-dimensional closed manifolds

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