A simplified algorithm for the topological entropy of multimodal maps
Dynamical Systems
2022-04-13 v1
Abstract
A numerical algorithm to compute the topological entropy of multimodal maps is proposed. This algorithm results from a closed formula containing the so-called min-max symbols, which are closely related to the kneading symbols. Furthermore, it simplifies a previous algorithm, also based on min-max symbols, which was originally proposed for twice differentiable multimodal maps. The new algorithm has been benchmarked against the old one with a number of multimodal maps, the results being reported in the paper. In particular, the comparison is favorable to the new algorithm, except in the unimodal case.
Cite
@article{arxiv.2204.05722,
title = {A simplified algorithm for the topological entropy of multimodal maps},
author = {José M. Amigó and Angel Giménez},
journal= {arXiv preprint arXiv:2204.05722},
year = {2022}
}