An approach to comparing Kolmogorov-Sinai and permutation entropy

被引：13
作者：
Unakafova, V. A. [1 ,2 ]
Unakafov, A. M. [1 ,2 ]
Keller, K. [1 ]
机构：
[1] Med Univ Lubeck, Inst Math, D-23538 Lubeck, Germany
[2] Med Univ Lubeck, Grad Sch Comp Med & Life Sci, D-23538 Lubeck, Germany
来源：
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS | 2013年 / 222卷 / 02期
关键词：
Entropy; State Space; European Physical Journal Special Topic; Proper Subset; Symbolic Dynamics;
D O I：
10.1140/epjst/e2013-01846-7
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper we discuss the relationship between permutation entropy and Kolmogorov-Sinai entropy in the one-dimensional case. For this, we consider partitions of the state space of a dynamical system using ordinal patterns of order (d + n- 1) on the one hand, and using n-letter words of ordinal patterns of order d on the other hand. The answer to the question of how different these partitions are provides an approach to comparing the entropies.
引用
收藏
页码：353 / 361
页数：9
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