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Entropy 2014, 16(2), 627-644; doi:10.3390/e16020627

A Simplified Algorithm for the Topological Entropy of Multimodal Maps

*  and
Centro de Investigación Operativa, Universidad Miguel Hernández, Avda. de la Universidad s/n, Elche 03202, Spain
* Author to whom correspondence should be addressed.
Received: 5 December 2013 / Revised: 14 January 2014 / Accepted: 14 January 2014 / Published: 23 January 2014
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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.
Keywords: topological entropy; multimodal maps; min-max symbols topological entropy; multimodal maps; min-max symbols
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Amigó, J.M.; Giménez, Á. A Simplified Algorithm for the Topological Entropy of Multimodal Maps. Entropy 2014, 16, 627-644.

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