The doubling map with asymmetrical holes

DOI10.1017/etds.2013.98zbMath1358.37031arXiv1302.2486OpenAlexW3100969403MaRDI QIDQ5262261

Nikita Sidorov, Paul Glendinning

Publication date: 13 July 2015

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

Full work available at URL: https://arxiv.org/abs/1302.2486

zbMATH Keywords

Hausdorff dimensionroute to chaosdoubling mapcritical holes

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Symbolic dynamics (37B10) Dynamical systems involving maps of the interval (37E05) Hausdorff and packing measures (28A78)

Related Items (11)

The baker’s map with a convex hole ⋮ Critical values for the -transformation with a hole at ⋮ Fiber denseness of intermediate β-shifts of finite type ⋮ Subshifts of finite type and self-similar sets ⋮ On cycles for the doubling map which are disjoint from an interval ⋮ Topological and ergodic properties of symmetric sub-shifts ⋮ The -transformation with a hole at 0 ⋮ Open maps: small and large holes with unusual properties ⋮ 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

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