Computing the topological entropy of multimodal maps via min-max sequences

DOI10.3390/e14040742zbMath1310.37019OpenAlexW2079689289MaRDI QIDQ406058

José María Amigó, Ángel Giménez, Rui Dilão

Publication date: 8 September 2014

Published in: Entropy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/e14040742

zbMATH Keywords

interval mapstopological entropymultimodal maps

Mathematics Subject Classification ID

Topological entropy (37B40) Symbolic dynamics (37B10) Dynamical systems involving maps of the interval (37E05)

Related Items (5)

On the complexity of economic dynamics: an approach through topological entropy ⋮ Applications of the min-max symbols of multimodal maps ⋮ 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

Cites Work

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• Entropy of piecewise monotone mappings
• A simple proof for monotonicity of entropy in the quadratic family
• Monotonicity of entropy for real multimodal maps

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