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

^*Korrespondierende/r Autor/-in für diese Arbeit

Institut für Mathematik

Graduate School for Computing in Medicine and Live Science

33 Zitate (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.

Originalsprache	Englisch
Zeitschrift	Physica D: Nonlinear Phenomena
Jahrgang	241
Ausgabenummer	18
Seiten (von - bis)	1477-1481
Seitenumfang	5
ISSN	0167-2789
DOIs	https://doi.org/10.1016/j.physd.2012.05.010
Publikationsstatus	Veröffentlicht - 15.09.2012

Fördermittel

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 ].

Dokumente

10.1016/j.physd.2012.05.010

Weitere Links

Link to publication in Scopus

Zitieren

@article{cd72ed431ebd4829b79fc62fbb3c6af7,

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",

month = sep,

day = "15",

doi = "10.1016/j.physd.2012.05.010",

language = "English",

volume = "241",

pages = "1477--1481",

journal = "Physica D: Nonlinear Phenomena",

issn = "0167-2789",

publisher = "Elsevier B.V.",

number = "18",

}

TY - JOUR

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

Fördermittel

Dokumente

Weitere Links

Fingerprint

Zitieren