On cycles for the doubling map which are disjoint from an interval

DOI10.1007/S00605-014-0646-YzbMath1308.37019arXiv1308.2905OpenAlexW3101937200MaRDI QIDQ471128

Nikita Sidorov, Kevin G. Hare

Publication date: 14 November 2014

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.2905

zbMATH Keywords

closed orbitopen mapdoubling mapmap with a hole

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical systems involving maps of the circle (37E10) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Symbolic dynamics (37B10) Dynamical systems involving maps of the interval (37E05)

Related Items (5)

The baker’s map with a convex hole ⋮ Non-monotone periodic orbits of a rotational horseshoe ⋮ The \(k\)-transformation on an interval with a hole ⋮ The bifurcation set as a topological invariant for one-dimensional dynamics ⋮ The \(\beta\)-transformation with a hole

Cites Work

• Unnamed Item
• Supercritical holes for the doubling map
• Periods and entropy for Lorenz-like maps
• Periodic unique beta-expansions: the Sharkovskiĭ ordering
• Period Three Implies Chaos
• The doubling map with asymmetrical holes
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation

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