A standardized approach to the Kolmogorov-Sinai entropy

被引：18

作者：

Keller, K. ^{[1
]}

Sinn, M. ^{[1
]}

机构：

[1] Med Univ Lubeck, Inst Math, D-23560 Lubeck, Germany

来源：

NONLINEARITY | 2009年 / 22卷 / 10期

关键词：

D O I：

10.1088/0951-7715/22/10/006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a description of the Kolmogorov-Sinai entropy of ergodic multidimensional dynamical systems and of continuous multidimensional dynamical systems with compact state space, which is based on the ordinal structure of the systems and allows a standardized measurement of their complexity. Moreover, we relate the Kolmogorov-Sinai entropy to a multidimensional version of the permutation entropy.

引用

页码：2417 / 2422

页数：6

共 6 条

[1] The permutation entropy rate equals the metric entropy rate for ergodic information sources and ergodic dynamical systems [J].