Computing the topological entropy of unimodal maps
Chaotic Dynamics
2016-08-14 v1 Dynamical Systems
Abstract
We derive an algorithm to determine recursively the lap number (minimal number of monotone pieces) of the iterates of unimodal maps of an interval with free end-points. The algorithm is obtained by the sign analysis of the itineraries of the critical point and of the boundary points of the interval map. We apply this algorithm to the estimation of the growth number and the topological entropy of maps with direct and reverse bifurcations.
Keywords
Cite
@article{arxiv.1012.1997,
title = {Computing the topological entropy of unimodal maps},
author = {Rui Dilão and José Amigó},
journal= {arXiv preprint arXiv:1012.1997},
year = {2016}
}
Comments
25 pages, 3 figures