Strong anticipation and long-range cross-correlation: Application of detrended cross-correlation analysis to human behavioral data

Physica A: Statistical Mechanics and its Applications

Volumn 394, Issue , 2014, Pages 47-60

  Delignières, Didier ^a   Marmelat, Vivien ^a  

^a UNIVERSITY OF MONTPELLIER   (France)

Author keywords

Bimanual coordination; Detrended cross correlation analysis; Detrended fluctuation analysis; Interpersonal coordination; Strong anticipation; Synchronization

Indexed keywords

BEHAVIORAL RESEARCH; CORRELATION METHODS; SYNCHRONIZATION;

BIMANUAL COORDINATION; DETRENDED CROSS-CORRELATION ANALYSIS; DETRENDED FLUCTUATION ANALYSIS; INTERPERSONAL COORDINATIONS; STRONG ANTICIPATION;

COORDINATION REACTIONS;

EID: 84887238908     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2013.09.037     Document Type: Article

References (59)

1. D. Vorberg, and A.M. Wing Modeling variability and dependence in timing H. Heuer, S.W. Keele, Handbook of Perception and Action 1996 Academic Press London 181 262
2. J. Mates A model of synchronization of motor acts to a stimulus sequence. 1. Timing and error corrections Biological Cybernetics 70 1994 463 473
3. B.H. Repp Sensorimotor synchronization: a review of the tapping literature Psychonomic Bulletin & Review 12 2005 969 992
4. D.M. Dubois Mathematical foundations of discrete and functional systems with strong and weak anticipations M.V. Butz, O. Sigaud, P. Gerard, Anticipatory Behavior in Adaptive Learning Systems: Foundations, Theories, and Systems 2003 Springer-Verlag Berlin 110 132
5. D.G. Stephen, N. Stepp, J.A. Dixon, and M.T. Turvey Strong anticipation: sensitivity to long-range correlations in synchronization behavior Physica A. Statistical Mechanics and its Applications 387 2008 5271 5278
6. N. Stepp, and M.T. Turvey On strong anticipation Cognitive Systems Research 11 2010 148 164
7. D.G. Stephen, and J.A. Dixon Strong anticipation: multifractal cascade dynamics modulate scaling in synchronization behaviors Chaos, Solitons & Fractals 44 2011 160 168
8. V.K. Jirsa, P. Fink, P. Foo, and J.A.S. Kelso Parametric stabilization of biological coordination: a theoretical model Journal of Biological Physics 26 2000 85 112
9. K. Torre, R. Balasubramaniam, and D. Delignières Oscillating in synchrony with a metronome: serial dependence, limit cycle dynamics, and modeling Motor Control 14 2010 323 343
10. H.U. Voss Anticipating chaotic synchronization Physical Review E 61 2000 5115 5119
11. V. Marmelat, and D. Delignières Strong anticipation: complexity matching in interpersonal coordination Experimental Brain Research 222 2012 137 148
12. B. Podobnik, D.F. Fu, H.E. Stanley, and P.C. Ivanov Power-law autocorrelated stochastic processes with long-range cross-correlations European Physical Journal B 56 2007 47 52
13. B. Podobnik, and H.E. Stanley Detrended cross-correlation analysis: a new method for analyzing two nonstationary time series Physical Review Letters 100 2008 084102
14. C.K. Peng, S. Havlin, J.M. Hausdorff, J.E. Mietus, H.E. Stanley, and A.L. Goldberger Fractal mechanisms and heart rate dynamics - Long-range correlations and their breakdown with disease Journal of Electrocardiology 28 1995 59 65
15. C.K. Peng, J. Mietus, J.M. Hausdorff, S. Havlin, H.E. Stanley, and A.L. Goldberger Long-range anticorrelations and non-Gaussian behavior of the heartbeat Physical Review Letters 70 1993 1343 1346
16. C.K. Peng, S.V. Buldyrev, S. Havlin, M. Simons, H.E. Stanley, and A.L. Goldberger Mosaic organization of DNA nucleotides Physical Review E 49 1994 1685 1689
17. D. Wang, B. Podobnik, D. Horvatic, and H.E. Stanley Quantifying and modeling long-range cross correlations in multiple time series with applications to world stock indices Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 83 2011 046121
18. I. Gvozdanovic, B. Podobnik, D. Wang, and H. Eugene Stanley 1 / f behavior in cross-correlations between absolute returns in a US market Physica A. Statistical Mechanics and its Applications 391 2012 2860 2866
19. B. Podobnik, D. Horvatic, A. Petersen, and H.E. Stanley Cross-correlations between volume change and price change Proceedings of the National Academy of Sciences of the United States of America 106 2009 22079 22084
20. N. Xu, P. Shang, and S. Kamae Modeling traffic flow correlation using DFA and DCCA Nonlinear Dynamics 61 2010 207 216
21. G.F. Zebende, P.A. da Silva, and A. Machado Filho Study of cross-correlation in a self-affine time series of taxi accidents Physica A. Statistical Mechanics and its Applications 390 2011 1677 1683
22. G.F. Zebende, and A. Machado Filho Cross-correlation between time series of vehicles and passengers Physica A. Statistical Mechanics and its Applications 388 2009 4863 4866
23. R.T. Vassoler, and G.F. Zebende DCCA cross-correlation coefficient apply in time series of air temperature and air relative humidity Physica A. Statistical Mechanics and its Applications 391 2012 2438 2443
24. J. Wang, and D.Q. Zhao Detrended cross-correlation analysis of electroencephalogram Chinese Physics B 21 2012
25. A.L. Goldberger, L.A.N. Amaral, J.M. Hausdorff, P.C. Ivanov, C.K. Peng, and H.E. Stanley Fractal dynamics in physiology: alterations with disease and ageing Proceedings of the National Academy of Sciences of the United States of America 99 2002 2466 2472
26. D. Delignières, M. Fortes, and G. Ninot The fractal dynamics of self-esteem and physical self Nonlinear Dynamics in Psychology and Life Sciences 8 2004 479 510
27. D. Delignières, K. Torre, and L. Lemoine Fractal models for event-based and dynamical timers Acta Psychologica 127 2008 382 397
28. L. Lemoine, K. Torre, and D. Delignières Testing for the presence of 1 / f noise in continuation tapping data Canadian Journal of Experimental Psychology 60 2006 247 257
29. K. Torre, D. Delignières, and L. Lemoine 1 / f (beta) fluctuations in bimanual coordination: an additional challenge for modeling Experimental Brain Research 183 2007 225 234
30. G. Currenti, C. Del Negro, V. Lapenna, and L. Telesca Fluctuation analysis of the hourly time variability of volcano-magnetic signals recorded at Mt. Etna Volcano, Sicily (Italy) Chaos, Solitons & Fractals 23 2005 1921 1929
31. L. Telesca, J.O. Pierini, and B. Scian Investigating the temporal variation of the scaling behavior in rainfall data measured in central Argentina by means of detrended fluctuation analysis Physica A. Statistical Mechanics and its Applications 391 2012 1553 1562
32. W. Li, F. Wang, S. Havlin, and H.E. Stanley Financial factor influence on scaling and memory of trading volume in stock market Physical Review E 84 2011
33. K. Yamasaki, L. Muchnik, S. Havlin, A. Bunde, and H.E. Stanley Scaling and memory in volatility return intervals in financial markets Proceedings of the National Academy of Sciences of the United States of America 102 2005 9424 9428
34. B. Mandelbrot, and J.W. Van Ness Fractional Brownian motions fractional noises and applications SIAM Review 10 1968 422 437
35. A. Eke, P. Herman, J.B. Bassingthwaighte, G.M. Raymond, D.B. Percival, and M. Cannon Physiological time series: distinguishing fractal noises from motions Pfluegers Archiv - European Journal of Physiology 439 2000 403 415
36. D. Delignières, K. Torre, and P.-L. Bernard Transition from persistent to anti-persistent correlations in postural sway indicates velocity-based control PLoS Computational Biology 7 2011 e1001089
37. C.K. Peng, S. Havlin, H.E. Stanley, and A.L. Goldberger Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time-series Chaos 5 1995 82 87
38. A. Bashan, R. Bartsch, J.W. Kantelhardt, and S. Havlin Comparison of detrending methods for fluctuation analysis Physica A. Statistical Mechanics and its Applications 387 2008 5080 5090
39. J.W. Kantelhardt, E. Koscielny-Bunde, H.H.A. Rego, S. Havlin, and A. Bunde Detecting long-range correlations with detrended fluctuation analysis Physica A. Statistical Mechanics and its Applications 295 2001 441 454
40. M. Ferrario, M.G. Signorini, G. Magenes, Estimation of long-term correlations from Fetal Heart Rate variability signal for the identification of pathological fetuses, in: 2007 Annual International Conference of the Ieee Engineering in Medicine and Biology Society, vol. 1-16, 2007, pp. 295-298.
41. G.J. Wang, and C. Xie Cross-correlations between wti crude oil market and us stock market: a perspective from econophysics Acta Physica Polonica B 43 2012 2021 2036
42. G.F. Zebende DCCA cross-correlation coefficient: quantifying level of cross-correlation Physica A. Statistical Mechanics and its Applications 390 2011 614 618
43. B. Podobnik, Z.-Q. Jiang, W.-X. Zhou, and H.E. Stanley Statistical tests for power-law cross-correlated processes Physical Review E 84 2011
44. S. Havlin, L.A.N. Amaral, Y. Ashkenazy, A.L. Goldberger, P.C. Ivanov, and C.K. Peng Application of statistical physics to heartbeat diagnosis Physica A. Statistical Mechanics and its Applications 274 1999 99 110
45. D. Delignières, and V. Marmelat Theoretical and methodological issues in serial correlation analysis Advances in Experimental Medicine and Biology 782 2013 127 148
46. A. Diniz, M.L. Wijnants, K. Torre, J. Barreiros, N. Crato, and A.M.T. Bosman Contemporary theories of 1 / f noise in motor control Human Movement Science 30 2011 889 905
47. R. Davies, and D. Harte Tests for Hurst effect Biometrika 74 1987 95 101
48. D. Delignières, S. Ramdani, L. Lemoine, K. Torre, M. Fortes, and G. Ninot Fractal analyses for "short" time series: a re-assessment of classical methods Journal of Mathematical Psychology 50 2006 525 544
49. J.A.S. Kelso Dynamics Patterns: The Self-Organization of Brain and Behavior 1995 MIT Press Cambridge, MA
50. H. Haken, J. Kelso, and H. Bunz A theoretical-model of phase-transitions in human hand movements Biological Cybernetics 51 1985 347 356
51. G. Schöner, H. Haken, and J. Kelso A stochastic-theory of phase-transitions in human hand movement Biological Cybernetics 53 1986 247 257
52. K. Torre, and D. Delignières Distinct ways of timing movements in bimanual coordination tasks: contribution of serial correlation analysis and implications for modeling Acta Psychologica 129 2008 284 296
53. K. Torre, and E.-J. Wagenmakers Theories and models for 1 / f (beta) noise in human movement science Human Movement Science 28 2009 297 318
54. R.C. Schmidt, C. Carello, and M.T. Turvey Phase transitions and critical fluctuations in the visual coordination of rhythmic movements between people Journal of Experimental Psychology: Human Perception and Performance 16 1990 227 247
55. K. Torre, and D. Delignières Unraveling the finding of 1 / f (beta) noise in self-paced and synchronized tapping: a unifying mechanistic model Biological Cybernetics 99 2008 159 170
56. D. Delignières, K. Torre, and L. Lemoine Long-range correlation in synchronization and syncopation tapping: a linear phase correction model PLoS One 4 2009 e7822
57. D. Delignières, and K. Torre Fractal dynamics of human gait: a reassessment of the 1996 data of Hausdorff et al. Journal of Applied Physiology 106 2009 1272 1279
58. K. Torre, and R. Balasubramaniam Two different processes for sensorimotor synchronization in continuous and discontinuous rhythmic movements Experimental Brain Research 199 2009 157 166
59. J. Pressing, and G. Jolley-Rogers Spectral properties of human cognition and skill Biological Cybernetics 76 1997 339 347