Article
Applications of the min-max symbols of multimodal maps
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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
J. M. Amigó and Á. Giménez, “Applications of the min-max symbols of multimodal maps,” Applied Mathematics and Nonlinear Sciences, vol. 1, no. 1, pp. 87–98, 2016, doi: 10.21042/AMNS.2016.1.00008.
Amigó JM, Giménez Á. Applications of the min-max symbols of multimodal maps. Applied Mathematics and Nonlinear Sciences. 2016;1(1):87–98. doi:10.21042/AMNS.2016.1.00008.
Amigó, J. M. and Giménez, Á. (2016), ‘Applications of the min-max symbols of multimodal maps’, Applied Mathematics and Nonlinear Sciences, 1(1), pp. 87–98. Available at: https://doi.org/10.21042/AMNS.2016.1.00008.
Amigó, José M., and Ángel Giménez. “Applications of the Min-max Symbols of Multimodal Maps.” Applied Mathematics and Nonlinear Sciences, vol. 1, no. 1, 2016, pp. 87–98. https://doi.org/10.21042/AMNS.2016.1.00008.
Amigó, José M., and Ángel Giménez. “Applications of the Min-max Symbols of Multimodal Maps.” Applied Mathematics and Nonlinear Sciences 1, no. 1 (2016): 87–98. https://doi.org/10.21042/AMNS.2016.1.00008.
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- DOI: 10.21042/amns.2016.1.00008
- Type: article
- Source: Applied Mathematics and Nonlinear Sciences
- Published: 2016-01-01
- OpenAlex ID: W2405952619
Published by: Engineering Journals


