Applications of the min-max symbols of multimodal maps

  1. José M. Amigó 1
  2. Ángel Giménez 1
  1. 1 Universidad Miguel Hernández de Elche
    info

    Universidad Miguel Hernández de Elche

    Elche, España

    ROR https://ror.org/01azzms13

Journal:
Applied Mathematics and Nonlinear Sciences

ISSN: 2444-8656

Year of publication: 2016

Volume: 1

Issue: 1

Pages: 82-93

Type: Article

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More publications in: Applied Mathematics and Nonlinear Sciences

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.

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