A Simplified Algorithm for the Topological Entropy of Multimodal Maps
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 sy...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2014-01-01
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| Series: | Entropy |
| Subjects: | |
| Online Access: | http://www.mdpi.com/1099-4300/16/2/627 |
| _version_ | 1811307476290633728 |
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| author | José M. Amigó Ángel Giménez |
| author_facet | José M. Amigó Ángel Giménez |
| author_sort | José M. Amigó |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-13T09:05:01Z |
| format | Article |
| id | doaj.art-e1e97265a1114bc38c13d593ff788dad |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-13T09:05:01Z |
| publishDate | 2014-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-e1e97265a1114bc38c13d593ff788dad2022-12-22T02:53:01ZengMDPI AGEntropy1099-43002014-01-0116262764410.3390/e16020627e16020627A Simplified Algorithm for the Topological Entropy of Multimodal MapsJosé M. Amigó0Ángel Giménez1Centro de Investigación Operativa, Universidad Miguel Hernández, Avda. de la Universidad s/n, Elche 03202, SpainCentro de Investigación Operativa, Universidad Miguel Hernández, Avda. de la Universidad s/n, Elche 03202, SpainA 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.http://www.mdpi.com/1099-4300/16/2/627topological entropymultimodal mapsmin-max symbols |
| spellingShingle | José M. Amigó Ángel Giménez A Simplified Algorithm for the Topological Entropy of Multimodal Maps Entropy topological entropy multimodal maps min-max symbols |
| title | A Simplified Algorithm for the Topological Entropy of Multimodal Maps |
| title_full | A Simplified Algorithm for the Topological Entropy of Multimodal Maps |
| title_fullStr | A Simplified Algorithm for the Topological Entropy of Multimodal Maps |
| title_full_unstemmed | A Simplified Algorithm for the Topological Entropy of Multimodal Maps |
| title_short | A Simplified Algorithm for the Topological Entropy of Multimodal Maps |
| title_sort | simplified algorithm for the topological entropy of multimodal maps |
| topic | topological entropy multimodal maps min-max symbols |
| url | http://www.mdpi.com/1099-4300/16/2/627 |
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