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Applications of the min-max symbols of multimodal maps

Applications of the min-max symbols of multimodal maps AbstractThe 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Nonlinear Sciences de Gruyter

Applications of the min-max symbols of multimodal maps

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Publisher
de Gruyter
Copyright
© 2016 José M. Amigó, Ángel Giménez, published by Sciendo
eISSN
2444-8656
DOI
10.21042/AMNS.2016.1.00008
Publisher site
See Article on Publisher Site

Abstract

AbstractThe 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.

Journal

Applied Mathematics and Nonlinear Sciences – de Gruyter

Published: Jan 1, 2016

References

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