D-function of a minimal set and an extension of Sharkovskii's theorem to minimal sets

DOI10.1017/S0143385700006817zbMath0738.54019OpenAlexW2071257025MaRDI QIDQ3363438

Xiang Dong Ye

Publication date: 1992

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700006817

zbMATH Keywords

interval mapD-function of a minimal set

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX)

Related Items (12)

A characterization of adding machine maps ⋮ Almost periodic points and minimal sets in \(\omega\)-regular spaces ⋮ Period Three Implications for Expansive Maps in R^N ⋮ Topological characteristic factors and independence along arithmetic progressions ⋮ Remarks on minimal sets on dendrites and finite graphs ⋮ Multidimensional multiplicative large sets in totally minimal systems ⋮ Spectral characteristics of Schrödinger operators generated by product systems ⋮ Minimal sets in compact connected subspaces ⋮ Dynamical compactness and sensitivity ⋮ Multidimensional multiplicative combinatorial properties of dynamical syndetic sets ⋮ Coexistence of uniquely ergodic subsystems of interval mappings ⋮ Minimality, transitivity, mixing and topological entropy on spaces with a free interval

Cites Work

• Unnamed Item
• Unnamed Item
• Generalizations of a theorem of Šarkovskii on orbits of continuous real-valued functions
• A theorem of Sarkovskii on the existence of periodic orbits of continuous endomorphisms of the real line
• Toeplitz-Folgen und Gruppentranslationen
• Chaotic Functions with Zero Topological Entropy
• _ P   = _ R   for Maps of the Interval
• No Division Implies Chaos
• Homoclinic Points of Mappings of the Interval
• Periodic Orbits of Maps of Y
• Set of almost periodic points of a continuous self-map of an interval
• A Characterization of the Morse Minimal Set
• Substitution Minimal Sets
• Powers of homeomorphisms with almost periodic properties
• Orbit-closure decompositions and almost periodic properties
• Sturmian Minimal Sets

This page was built for publication: D-function of a minimal set and an extension of Sharkovskii's theorem to minimal sets