THE RENORMALIZED ENTROPY - AN APPROPRIATE COMPLEXITY MEASURE

被引：29

作者：

SAPARIN, P ^{[1
]}

WITT, A ^{[1
]}

KURTHS, J ^{[1
]}

ANISHCHENKO, V ^{[1
]}

机构：

[1] SARATOV NG CHERNYSHEVSKII STATE UNIV,SARATOV 410071,RUSSIA

来源：

CHAOS SOLITONS & FRACTALS | 1994年 / 4卷 / 10期

关键词：

D O I：

10.1016/0960-0779(94)90006-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We have studied the renormalized entropy Delta (S) over tilde in the framework of complexity measures. In opposite to other complexity measures, this Delta (S) over tilde is a relative measure, i.e. it is defined relative to a fixed basic state. To investigate its specific capabilities, Delta (S) over tilde has been applied to different dynamical regimes of the logistic map. We have found that the renormalized entropy clearly indicates all transitions: from periodic to chaotic behaviour as well as between different types of chaos, such as band-merging, intermittency or inner crises. Delta (S) over tilde also distinctly describes how additive noise changes the dynamics. Due to these outstanding properties we recommend Delta (S) over tilde for various fields of application.

引用

页码：1907 / 1916

页数：10

共 18 条

[1]

ANISHCHENKO VS, 1984, PISMA ZH TEKH FIZ+, V10, P876

[2]

ANISHCHENKO VS, 1994, P SOC PHOTO-OPT INS, V2098, P130, DOI 10.1117/12.175137

[3]

ANISHCHENKO VS, 1994, IN PRESS PISMA ZHTF

[4]

[Anonymous], 1993, CAMBRIDGE NONLINEAR, DOI DOI 10.1017/CBO9780511524585

[5]

Atmanspacher H., 1992, OPEN SYSTEMS INFORMA, V1, P269, DOI 10.1007/BF02228949

[6]

BEALE PD, 1984, PHYS REV A, V30, P3998

[7]

EBELING W, 1994, CHAOS SOLUTIONS FRAC, V4

[8]

HAKEN H, 1988, INFORMATION SELFORGA

[9] ENTROPY EVOLUTION IN SELF-ORGANIZATION PROCESSES H-THEOREM AND S-THEOREM [J].

KLIMONTOVICH, YL .

PHYSICA A, 1987, 142 (1-3) :390-404

[10]

KLIMONTOVICH YL, 1983, PISMA ZH TEKH FIZ, V9, P1089

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