<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Applications of the min-max symbols of multimodal maps

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Applications of the min-max symbols of multimodal maps"}

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...

Applications of the min-max symbols of multimodal maps

Publié en ligne: 01 janv. 2016

Pages: 87 - 98

Reçu: 24 juin 2015

Accepté: 17 déc. 2015

DOI: https://doi.org/10.21042/AMNS.2016.1.00008

© 2016 José M. Amigó, Ángel Giménez, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.