Computing the topological entropy for piecewise monotonic maps on the interval

DOI10.1023/A:1004585613252zbMath0938.37004OpenAlexW1615260365MaRDI QIDQ1308026

Thomas Steinberger

Publication date: 22 November 1999

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1004585613252

zbMATH Keywords

topological entropyinterval maptransition matrixpiecewise monotonic transformationpiecewise-monotonic map

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamical systems involving maps of the interval (37E05)

Related Items (8)

On two notions of topological entropy for noncompact spaces ⋮ On the complexity of economic dynamics: an approach through topological entropy ⋮ Computing the topological entropy of multimodal maps via min-max sequences ⋮ Applications of the min-max symbols of multimodal maps ⋮ Hausdorff dimension of attractors for two dimensional Lorenz transformations ⋮ Computing the topological entropy of continuous maps with at most three different kneading sequences with applications to Parrondo's paradox ⋮ Computing topological entropy for periodic sequences of unimodal maps ⋮ Formulas for the topological entropy of multimodal maps based on min-max symbols

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