The structure of limit sets for \(\mathbb{Z}^d\) actions

DOI10.3934/DCDS.2014.34.4765zbMath1351.37092OpenAlexW2062223381MaRDI QIDQ476581

Jonathan Meddaugh, Brian E. Raines

Publication date: 2 December 2014

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2014.34.4765

zbMATH Keywords

\(\omega\)-limit setshadowinginternal chain transitivitypseudo-orbit tracing propertyweak incompressibility

Mathematics Subject Classification ID

Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Symbolic dynamics (37B10) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (2)

On collective sensitivity for -actions ⋮ On properties of expansive group actions

Cites Work

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• A characterization ofω-limit sets in shift spaces
• A characterization of ω-limit sets for piecewise monotone maps of the interval
• Shadowing in multi-dimensional shift spaces
• A characterization of the \(\omega\)-limit sets of interval maps
• Chain transitivity, attractivity, and strong repellors for semidynamical systems

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