On the Relation of KS Entropy and Permutation Entropy
Chaotic Dynamics
2014-07-25 v1 Dynamical Systems
Abstract
Since Bandt et al. have shown that the permutation entropy and the Kolmogorov-Sinai entropy coincide for piecewise monotone interval maps, the relationship of both entropies for time-discrete dynamical systems is of a certain interest. The aim of this paper is a discussion of this relationship on the basis of an ordinal characterization of the Kolmogorov-Sinai entropy recently given.
Keywords
Cite
@article{arxiv.1407.6473,
title = {On the Relation of KS Entropy and Permutation Entropy},
author = {Karsten Keller and Anton M. Unakafov and Valentina A. Unakafova},
journal= {arXiv preprint arXiv:1407.6473},
year = {2014}
}