Detecting long-range correlations of traffic time series with multifractal detrended fluctuation analysis

Chaos, Solitons and Fractals

Volumn 36, Issue 1, 2008, Pages 82-90

  Shang, Pengjian ^a   Lu, Yongbo ^a   Kamae, Santi ^b  

^a BEIJING JIAOTONG UNIVERSITY   (China)

^b UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; HIGHWAY TRAFFIC CONTROL; PROBABILITY DENSITY FUNCTION; TIME SERIES ANALYSIS; TRAFFIC SIGNALS;

FLUCTUATION ANALYSIS; MULTIFRACTAL BEHAVIOR; TRAFFIC SPEED;

FRACTALS;

EID: 35348874888     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.06.019     Document Type: Article

References (24)

1. Chowdhury D., Santen L., and Schadschneider A. Statistical physics of vehicular traffic and some related systems. Phys Rep 329 (2000) 199-329
2. Helbing D. Traffic and related self-driven many-particle systems. Rev Mod Phys 73 (2001) 1067-1141
3. Kerner B.S. The physics of traffic (2004), Springer, New York
4. van Zuylen, Henk J., Marina S., Geenhuizen V., and Peter N. (Un) predictability in traffic and transport decision making. Transport Res Rec 1685 (1999) 21-28
5. Paczuski M, Nagel K. Self-organized criticality and 1/f noise in traffic. Cond-mat/960201.
6. Mahnke R. Stochastic theory of freeway traffic. Phys Rev E 59 (1999) 117-125
7. Choi M.Y., and Lee H Y. Traffic flow and 1/f fluctuations. Phys Rev E 52 (1995) 5979-5984
8. Pengjian S., and Li X.W. Chaotic analysis of traffic time series. Chaos, Solitons & Fractals 25 (2005) 121
9. Nagel K, Rasmussen S. Traffic at the edge of chaos. Artificial Life IV. In: Proceedings, Massachusetts: RA Brooks MaesMIT Press; 1994.
10. Kantz H., and Schreiber T. Nonlinear time series analysis (1996), Cambridge University Press, Cambridge
11. Kantelhardt J.W., Zschiegner S.A., Bunde E.K., Havlin S., Bunde A., and Stanley H.E. Multifractal detrended fluctuation analysis of nonstationary time series. Physica A 316 (2002) 87-114
12. Kantelhardt J.W., Koscielny-Bunde E., Rego H.A., Havlin S., and Bunde A. Detecting long-range correlations with detrended fluctuation analysis. Physica A 295 (2001) 441-454.1
13. Yu C.X., Gilmore M., Peebles W.A., and Rhodes T.L. Structure function analysis of long-range correlations in plasma turbulence. Phys Plasmas 10 (2003) 2772-2779
14. Seely A.J.E., and Macklem P.T. Complex systems and the technology of variability analysis. Crit Care 8 (2004) 367-384
15. Peng C.K., Havlin S., Stanley H.E., and Goldberger A.L. Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series. Chaos 5 (1995) 82-87
16. Vjushin D., Govindan R.B., Monetti R.A., Havlin S., and Bunde A. Scaling analysis of trends using DFA. Physica A 302 (2001) 234-243
17. Vandewalle N., and Ausloos M. Coherent and random sequences in financial fluctuations. Physica A 246 (1997) 454-459
18. Ivanova K., and Ausloos M. Application of detrended fluctuation analysis (DFA) method for describing cloud breaking. Physica A 274 (1999) 349-354
19. Falconer K. Fractal geometry (1990), Wiley, New York
20. Feder J. Fractals (1988), Plenum Press, New York
21. Barabasi A., and Vicsek T. Multifractality of self-affine fractals. Phys Rev A 44 (1991) 2730-2733
22. Goncalves P, Riedi R, Baraniuk R. A simple statistical analysis of wavelet based multifractal spectrum estimation. In: Proc. 32nd ASILOMAR Conf. on Signals, Systems and Computers, Monterey, CA; November 1998.
23. Kantelhardt J.W., Rybski D., Zschiegner S.A., Braun P., Bunde E.K., Livina V., et al. Multifractality of river runoff and precipitation: Comparison of fluctuation analysis and wavelet methods. Physica A 330 (2003) 240-245
24. Muzy J.F., Bacry E., and Arneodo A. The multifractal formalism revisited with wavelets. Int J Bifurcat Chaos 2 4 (1994) 245-302