The space of ω-limit sets of piecewise continuous maps of the interval

DOI10.1080/10236190902860232zbMath1189.37047OpenAlexW1997870722MaRDI QIDQ5305982

Peter Raith, Franz Hofbauer, Jaroslav Smítal

Publication date: 24 March 2010

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190902860232

zbMATH Keywords

Hausdorff metriccompactness\(\omega \)-limit setinterval mappiecewise continuous maplocally saturating set

Mathematics Subject Classification ID

Topological dynamics (37B99) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Iteration of real functions in one variable (26A18) Dynamical systems involving maps of the interval (37E05)

Related Items (2)

The life and mathematics of Jaroslav Smítal ⋮ On distributional spectrum of piecewise monotonic maps

Cites Work

• Hausdorff compactness on a space of \(\omega\)-limit sets
• Piecewise invertible dynamical systems
• On intrinsic ergodicity of piecewise monotonic transformations with positive entropy
• Ergodic properties of invariant measures for piecewise monotonic transformations
• Continuity of the Hausdorff dimension for piecewise monotonic maps
• Strict inequalities for the entropy of transitive piecewise monotone maps
• ω-limit sets for maps of the interval
• Topics from One-Dimensional Dynamics
• The space of $\omega $-limit sets of a continuous map of the interval

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