On the relation of KS entropy and permutation entropy

Karsten Keller; Anton M. Unakafov; Valentina A. Unakafova

doi:10.1016/j.physd.2012.05.010

On the relation of KS entropy and permutation entropy

Karsten Keller^*, Anton M. Unakafov, Valentina A. Unakafova

^*Corresponding author for this work

Institute of Mathematics

Graduate School for Computing in Medicine and Live Science

32 Citations (Scopus)

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 the present paper is a discussion of this relationship on the basis of an ordinal characterization of the Kolmogorov-Sinai entropy recently given.

Original language	English
Journal	Physica D: Nonlinear Phenomena
Volume	241
Issue number	18
Pages (from-to)	1477-1481
Number of pages	5
ISSN	0167-2789
DOIs	https://doi.org/10.1016/j.physd.2012.05.010
Publication status	Published - 15.09.2012

Funding

This work was supported by the Graduate School for Computing in Medicine and Life Sciences funded by Germany’s Excellence Initiative [ DFG GSC 235/1 ].

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10.1016/j.physd.2012.05.010

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title = "On the relation of KS entropy and permutation entropy",

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 the present paper is a discussion of this relationship on the basis of an ordinal characterization of the Kolmogorov-Sinai entropy recently given.",

author = "Karsten Keller and Unakafov, \{Anton M.\} and Unakafova, \{Valentina A.\}",

year = "2012",

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T1 - On the relation of KS entropy and permutation entropy

AU - Keller, Karsten

AU - Unakafov, Anton M.

AU - Unakafova, Valentina A.

PY - 2012/9/15

Y1 - 2012/9/15

N2 - 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 the present paper is a discussion of this relationship on the basis of an ordinal characterization of the Kolmogorov-Sinai entropy recently given.

AB - 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 the present paper is a discussion of this relationship on the basis of an ordinal characterization of the Kolmogorov-Sinai entropy recently given.

UR - https://www.scopus.com/pages/publications/84864287632

U2 - 10.1016/j.physd.2012.05.010

DO - 10.1016/j.physd.2012.05.010

M3 - Journal articles

AN - SCOPUS:84864287632

SN - 0167-2789

VL - 241

SP - 1477

EP - 1481

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 18

ER -

On the relation of KS entropy and permutation entropy

Abstract

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