HOW TO AVOID POTENTIAL PITFALLS IN RECURRENCE PLOT BASED DATA ANALYSIS

被引:210
作者
Marwan, Norbert [1 ,2 ]
机构
[1] Potsdam Inst Climate Impact Res, D-14412 Potsdam, Germany
[2] Univ Potsdam, Interdisciplinary Ctr Dynam Complex Syst, D-14415 Potsdam, Germany
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2011年 / 21卷 / 04期
关键词
Recurrence plot; recurrence quantification analysis; time series analysis; pitfalls; TIME-SERIES ANALYSIS; QUANTIFICATION ANALYSIS; DETERMINISTIC SIGNALS; FINANCIAL MARKET; SYNCHRONIZATION; DIVERGENCE; EXPONENTS; EQUATION;
D O I
10.1142/S0218127411029008
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Recurrence plots and recurrence quantification analysis have become popular in the last two decades. Recurrence based methods have on the one hand a deep foundation in the theory of dynamical systems and are on the other hand powerful tools for the investigation of a variety of problems. The increasing interest encompasses the growing risk of misuse and uncritical application of these methods. Therefore, we point out potential problems and pitfalls related to different aspects of the application of recurrence plots and recurrence quantification analysis.
引用
收藏
页码:1003 / 1017
页数:15
相关论文
共 63 条
[31]   A historical review of recurrence plots [J].
Marwan, N. .
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2008, 164 (1) :3-12
[32]  
Marwan N., 2008, Proc. Int. Symp. Nonlinear Theory and Its Applications NOLTA 2008, P412
[33]   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
[34]   Complex network approach for recurrence analysis of time series [J].
Marwan, Norbert ;
Donges, Jonathan F. ;
Zou, Yong ;
Donner, Reik V. ;
Kurths, Juergen .
PHYSICS LETTERS A, 2009, 373 (46) :4246-4254
[35]   Comment on "Stochastic analysis of recurrence plots with applications to the detection of deterministic signals" by Rohde et al. [Physica D 237 (2008) 619-629] [J].
Marwan, Norbert ;
Kurths, Juergen .
PHYSICA D-NONLINEAR PHENOMENA, 2009, 238 (16) :1711-1715
[36]   Optimizing of recurrence plots for noise reduction [J].
Matassini, L ;
Kantz, H ;
Holyst, J ;
Hegger, R .
PHYSICAL REVIEW E, 2002, 65 (02) :1-021102
[37]   TOPOLOGICAL ANALYSIS AND SYNTHESIS OF CHAOTIC TIME-SERIES [J].
MINDLIN, GB ;
GILMORE, R .
PHYSICA D, 1992, 58 (1-4) :229-242
[38]   GEOMETRY FROM A TIME-SERIES [J].
PACKARD, NH ;
CRUTCHFIELD, JP ;
FARMER, JD ;
SHAW, RS .
PHYSICAL REVIEW LETTERS, 1980, 45 (09) :712-716
[39]  
PECAR B, 2003, P 23 SGAI C CAMBR 20
[40]   Effective normalization of complexity measurements for epoch length and sampling frequency -: art. no. 016209 [J].
Rapp, PE ;
Cellucci, CJ ;
Korslund, KE ;
Watanabe, TAA ;
Jiménez-Montaño, MA .
PHYSICAL REVIEW E, 2001, 64 (01) :1-9