COMPUTING THE TOPOLOGICAL ENTROPY OF UNIMODAL MAPS

DOI10.1142/S0218127412501520zbMath1270.37019arXiv1012.1997OpenAlexW2963370994MaRDI QIDQ2843591

Rui Dilão, José María Amigó

Publication date: 23 August 2013

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

Full work available at URL: https://arxiv.org/abs/1012.1997

zbMATH Keywords

symbolic dynamicsinterval mapstopological entropy

Mathematics Subject Classification ID

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

Related Items (5)

Counting preimages ⋮ Computing the topological entropy of multimodal maps via min-max sequences ⋮ Applications of the min-max symbols of multimodal maps ⋮ The Topological Entropy of a Family of Cubic Polynomials ⋮ Formulas for the topological entropy of multimodal maps based on min-max symbols

Cites Work

• An improved algorithm for computing topological entropy
• On finite limit sets for transformations on the unit interval
• Period Three Implies Chaos
• A simple proof for monotonicity of entropy in the quadratic family

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