AN ALGORITHM TO COMPUTE THE TOPOLOGICAL ENTROPY OF A UNIMODAL MAP

DOI10.1142/S021812749900136XzbMath1089.37515OpenAlexW2078924757WikidataQ129039438 ScholiaQ129039438MaRDI QIDQ5474038

Henk Bruin

Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021812749900136x

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Topological entropy (37B40) Dynamical systems involving maps of the interval (37E05)

Related Items (4)

Computing explicitly topological sequence entropy: the unimodal case ⋮ Counting preimages ⋮ Computing topological entropy for periodic sequences of unimodal maps ⋮ Estimating topological entropy from individual orbits

Cites Work

• An improved algorithm for computing topological entropy
• Computing the topological entropy of maps
• On intrinsic ergodicity of piecewise monotonic transformations with positive entropy
• Topological entropy of the transformation \(x\mapsto ax(1-x)\)
• COMBINATORICS OF THE KNEADING MAP
• The trajectory of the turning point is dense for almost all tent maps

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