The research of sequence shadowing property and regularly recurrent point on the double inverse limit space

DOI10.1155/2022/3512621zbMath1490.37025OpenAlexW4206331290MaRDI QIDQ2071881

Zhanjiang Ji

Publication date: 31 January 2022

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/3512621

zbMATH Keywords

shadowing propertydouble inverse limit spaceregularly recurrent point

Mathematics Subject Classification ID

Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20) Dynamics in general topological spaces (37B02) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

Cites Work

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• The average-shadowing property and strong ergodicity
• On shadowing: ordinary and ergodic
• Some remarks on <span style="border-top: 1px solid; padding-top: 0px"><italic>d</italic></span>-shadowing property
• Partial shadowing of average-pseudo-orbits
• On almost specification and average shadowing properties

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