Dispersive graded entropy on computing dynamical complexity

被引：8

作者：

Mukherjee, Sayan ^{[1
]}

Banerjee, Santo ^{[2
,3
]}

Rondoni, Lamberto ^{[2
,4
,5
,6
]}

机构：

[1] Sivanath Sastri Coll, Dept Math, Kolkata 700029, India

[2] Univ Putra Malaysia, Malaysia Italy Ctr Excellence Math Sci, Serdang, Malaysia

[3] Univ Putra Malaysia, Inst Math Res, Serdang, Malaysia

[4] Politecn Torino, Dipartimento Sci Matemat, Turin, Italy

[5] Politecn Torino, Graphene Polito Lab, Turin, Italy

[6] INFN, Sez Torino, Via Pietro Giuria 1, I-10125 Turin, Italy

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2018年 / 508卷

关键词：

Nonlinear system; 0-1; test; Complexity; Weighted recurrence entropy; HRV signal; CONGESTIVE-HEART-FAILURE; TIME-SERIES; SAMPLE ENTROPY; APPROXIMATE ENTROPY; LYAPUNOV EXPONENTS; CHAOTIC DATA; SYSTEMS; DECREASE; NOISE; LASER;

D O I：

10.1016/j.physa.2018.05.006

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose a phase space based statistical disorder to investigate the dynamical complexity of chaotic models. The statistical disorder is defined by introducing a grade function, inversely maps the mean dispersion of the trajectories in the phase space. We denote the associate entropy by the dispersive graded entropy (DGE). Numerical investigation shows that DGE can quantify the dynamical complexity of discrete as well as continuous chaotic systems. A comparative study is also made with the other phase space based entropy measures. Finally, the proposed measure has been applied on three types of heart rate variability (HRV) signals. The results support the clinical observations related to the dynamics of healthy and congestive hearts. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：131 / 140

页数：10

共 41 条

[1] THE ANALYSIS OF OBSERVED CHAOTIC DATA IN PHYSICAL SYSTEMS [J].

ABARBANEL, HDI ;

BROWN, R ;

SIDOROWICH, JJ ;

TSIMRING, LS .

REVIEWS OF MODERN PHYSICS, 1993, 65 (04) :1331-1392

[2] Dynamic Cross-Entropy [J].

Aur, Dorian ;

Vila-Rodriguez, Fidel .

JOURNAL OF NEUROSCIENCE METHODS, 2017, 275 :10-18

[3] Modulation of output power in the spatio-temporal analysis of a semi conductor laser [J].

Banerjee, S. ;

Pizzi, M. ;

Rondoni, L. .

OPTICS COMMUNICATIONS, 2012, 285 (06) :1341-1346

[4]

Banerjee S., PHYS LETT A, V291, P103

[5] Complexity in congestive heart failure: A time-frequency approach [J].

Banerjee, Santo ;

Palit, Sanjay K. ;

Mukherjee, Sayan ;

Ariffin, M. R. K. ;

Rondoni, Lamberto .

CHAOS, 2016, 26 (03)

[6] STATE-SPACE RECONSTRUCTION IN THE PRESENCE OF NOISE [J].

CASDAGLI, M ;

EUBANK, S ;

FARMER, JD ;

GIBSON, J .

PHYSICA D-NONLINEAR PHENOMENA, 1991, 51 (1-3) :52-98

[7] Emergence of dynamical complexity related to human heart rate variability [J].

Chang, Mei-Chu ;

Peng, C. -K. ;

Stanley, H. Eugene .

PHYSICAL REVIEW E, 2014, 90 (06)

[8] Weighted multiscale Renyi permutation entropy of nonlinear time series [J].

Chen, Shijian ;

Shang, Pengjian ;

Wu, Yue .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 496 :548-570

[9] Entropy-complexity analysis in some globally-coupled systems [J].

Chrisment, Antoine M. ;

Firpo, Marie-Christine .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2016, 460 :162-173

[10] Multiscale entropy analysis of biological signals [J].

Costa, M ;

Goldberger, AL ;

Peng, CK .

PHYSICAL REVIEW E, 2005, 71 (02)

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