Enlarged scaling ranges for the KS-entropy and the information dimension

被引：17

作者：

Kantz, H ^{[1
]}

Schurmann, T ^{[1
]}

机构：

[1] BERG UNIV GESAMTHSCH WUPPERTAL,DEPT THEORET PHYS,D-42097 WUPPERTAL,GERMANY

来源：

CHAOS | 1996年 / 6卷 / 02期

关键词：

D O I：

10.1063/1.166161

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Numerical estimates of the Kolmogorov-Sinai entropy based on a finite amount of data decay towards zero in the relevant limits. Rewriting differences of block entropies as averages over decay rates, and ignoring all parts of the sample where these rates are uncomputable because of the lack of neighbours, yields improved entropy estimates. In the same way, the scaling range for estimates of the information dimension can be extended considerably. The improvement is demonstrated for experimental data. (C) 1996 American Institute of Physics.

引用

页码：167 / 171

页数：5

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