Symbolic dynamics and entropy analysis of Feigenbaum limit sets

DOI10.1016/S0960-0779(98)00095-2zbMath0959.37031OpenAlexW2073314657MaRDI QIDQ1125130

S. H. Smith

Publication date: 29 November 1999

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(98)00095-2

zbMATH Keywords

symbolic dynamicsunimodal mapsblock entropiescoarse-grained statistical propertiesFeigenbaum attractors

Mathematics Subject Classification ID

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

Related Items (11)

Statistical mechanics and information-theoretic perspectives on complexity in the Earth system ⋮ Addendum: On the statistical analysis of the first digits of the Feigenbaum constants ⋮ Structure of the correlation function at the accumulation points of the logistic map ⋮ A model for calculating the quantum potential for time-varying multi-slit systems ⋮ NUMERICAL APPROXIMATION OF THE PERCENTAGE OF ORDER FOR ONE-DIMENSIONAL MAPS ⋮ ENTROPY ANALYSIS OF WORD-LENGTH SERIES OF NATURAL LANGUAGE TEXTS: EFFECTS OF TEXT LANGUAGE AND GENRE ⋮ Characterizing Cantorian sets by entropy‐like quantities ⋮ Statistical analysis of the first digits of the binary expansion of Feigenbaum constants \(\alpha\) and \(\delta\) ⋮ BLOCK ENTROPY ANALYSIS OF HEART RATE VARIABILITY SIGNALS ⋮ PARTITION-BASED ENTROPIES OF DETERMINISTIC AND STOCHASTIC MAPS ⋮ SYMBOL-TO-SYMBOL CORRELATION FUNCTION AT THE FEIGENBAUM POINT OF THE LOGISTIC MAP

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