A Simplified Algorithm for the Topological Entropy of Multimodal Maps

Author: Amigó José M.   Giménez Ángel  

Publisher: MDPI

E-ISSN: 1099-4300|16|2|627-644

ISSN: 1099-4300

Source: Entropy, Vol.16, Iss.2, 2014-01, pp. : 627-644

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Abstract

A numerical algorithm to compute the topological entropy of multimodal maps is proposed. This algorithm results from a closed formula containing the so-called min-max symbols, which are closely related to the kneading symbols. Furthermore, it simplifies a previous algorithm, also based on min-max symbols, which was originally proposed for twice differentiable multimodal maps. The new algorithm has been benchmarked against the old one with a number of multimodal maps, the results being reported in the paper. The comparison is favorable to the new algorithm, except in the unimodal case.