Applied Mathematics and Nonlinear Sciences
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Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 1, Issue 1


Published
on

January 1, 2016


Pages

87-98


DOI

Article

Applications of the min-max symbols of multimodal maps

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Authors

José M. Amigó Affiliation:
Centro de Investigación Operativa, Universidad Miguel Hernández. Avda. de la Universidad s/n. 03202 Elche (Alicante). Spain
and Ángel Giménez Affiliation:
Centro de Investigación Operativa, Universidad Miguel Hernández. Avda. de la Universidad s/n. 03202 Elche (Alicante). Spain


Abstract

The min-max symbols generalize the kneading symbols in that they contain also information about the minimum or maximum character of the critical values and their iterates. Interestingly enough, this additional information can be obtained from the kneading symbols without further computation. In this paper we review some interesting applications of the min-max symbols. The applications chosen concern new expressions for the topological entropy of multimodal maps, as well as a numerical algorithm to compute it.


Keywords

Multimodal maps, min-max-symbols, topological entropy, numerical algorithm, 37B40, 37E05, 37B10, 65Dxx


Citation

Amigó, J. M. & Giménez, Á. (2016). Applications of the min-max symbols of multimodal maps. Applied Mathematics and Nonlinear Sciences, 1(1), 87–98. https://doi.org/10.21042/AMNS.2016.1.00008
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