Comparison of recurrence quantification methods for the analysis of temporal and spatial chaos

被引：23
作者：
Mocenni, Chiara [1 ]
Facchini, Angelo
Vicino, Antonio
机构：
[1] Univ Siena, Dipartimento Ingn Informaz, I-53100 Siena, Italy
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2011年 / 53卷 / 7-8期
关键词：
Recurrence Plots; Generalized RQA; Temporal and spatial chaos; TIME-SERIES ANALYSIS; PLOT ANALYSIS; RECONSTRUCTION;
D O I：
10.1016/j.mcm.2010.04.008
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A comparative study of the recurrence properties of time series and two-dimensional spatial data is performed by means of Recurrence Quantification Analysis. The recent extension to distributed data of methods based on recurrences reveals new insights improving the performances of the approach for the analysis of complex spatial patterns. Indeed, the measures determinism and entropy provide significant information about the small and large scale characterization of the patterns allowing for a better connection to the physical properties of the spatial system under investigation. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1535 / 1545
页数：11
相关论文
共 43 条
[31]   Recurrence plots for the analysis of complex systems [J].
Marwan, Norbert ;
Romano, M. Carmen ;
Thiel, Marco ;
Kurths, Juergen .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2007, 438 (5-6) :237-329
[32]   Generalised recurrence plot analysis for spatial data [J].
Marwan, Norbert ;
Kurths, Juergen ;
Saparin, Peter .
PHYSICS LETTERS A, 2007, 360 (4-5) :545-551
[33]   Optimizing of recurrence plots for noise reduction [J].
Matassini, L ;
Kantz, H ;
Holyst, J ;
Hegger, R .
PHYSICAL REVIEW E, 2002, 65 (02) :1-021102
[34]  
Poincare H., 1890, Acta Math., V13
[35]   Locating the transition from periodic oscillations to spatiotemporal chaos in the wake of invasion [J].
Sherratt, Jonathan A. ;
Smith, Matthew J. ;
Rademacher, Jens D. M. .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2009, 106 (27) :10890-10895
[36]   Recurrence quantification analysis and state space divergence reconstruction for financial time series analysis [J].
Strozzi, Fernanda ;
Zaldivar, Jose-Manuel ;
Zbilut, Joseph P. .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 376 (1-2) :487-499
[37]   Estimation of dynamical invariants without embedding by recurrence plots [J].
Thiel, M ;
Romano, MC ;
Read, PL ;
Kurths, J .
CHAOS, 2004, 14 (02) :234-243
[38]   Recurrence quantification in epileptic EEGs [J].
Thomasson, N ;
Hoeppner, TJ ;
Webber, CL ;
Zbilut, JP .
PHYSICS LETTERS A, 2001, 279 (1-2) :94-101
[39]   Segmented spiral waves in a reaction-diffusion system [J].
Vanag, VK ;
Epstein, IR .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2003, 100 (25) :14635-14638
[40]   DYNAMICAL ASSESSMENT OF PHYSIOLOGICAL SYSTEMS AND STATES USING RECURRENCE PLOT STRATEGIES [J].
WEBBER, CL ;
ZBILUT, JP .
JOURNAL OF APPLIED PHYSIOLOGY, 1994, 76 (02) :965-973
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