Amigó, J.M., Gimenez, A. (2022) «A Simplified Algorithm for the Topological Entropy of Multimodal Maps», in Frontiers In Entropy Across The Disciplines – Panorama Of Entropy: Theory, Computation, And Applications, Willi Freeden and M Zuhair Nashed (Eds.), World Scientific Series, 683–700

José María Amigó and Ángel Giménez (Operations Research Center, University Miguel Hernández of Elche)

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