Measuring multifractality in seismic sequences

Tectonophysics

Volumn 423, Issue 1-4, 2006, Pages 115-123

  Telesca, Luciano ^a   Lapenna, Vincenzo ^a  

^a CNR   (Italy)

Author keywords

Earthquakes; Multifractal Detrended Fluctuation Analysis

Indexed keywords

AFTERSHOCK; EARTHQUAKE; SEISMICITY;

EURASIA; EUROPE; ITALY; SOUTHERN EUROPE;

EID: 33747059814     PISSN: 00401951     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tecto.2006.03.023     Document Type: Article

References (35)

1. Allan D.W. Statistics of atomic frequency standards. Proc. IEEE 54 (1966) 221-230
2. Ashkenazy Y., Havlin S., Ivanov P.Ch., Peng C.-K., Schulte-Frohlinde V., and Stanley H.E. Magnitude and sign scaling in power-law correlated time series. Physica, A 323 (2003) 19-41
3. Ashkenazy Y., Baker D.R., Gildor H., and Havlin S. Nonlinearity and multifractality of climate change in the past 420,000 years. Geophys. Res. Lett. 30 (2003) 2146-2149
4. Bak P., Tang C., and Wiensenfeld K. Self-organizing criticality. Phys. Rev., A 38 (1988) 364-374
5. Enescu B., Ito K., Radulian M., Popescu E., and Bazacliu O. Multifractal and chaotic analysis of Vrancea (Romania) intermediate-depth earthquakes: investigation of the temporal distribution of events. PAGEOPH 162 (2005) 249-271
6. Feder J. Fractals (1988), Plenum Press, New York
7. Gamero L., Plastino A., and Torres M.E. Wavelet analysis and nonlinear dynamics in a nonextensive setting. Physica, A 246 (1997) 487-509
8. Goltz B. Fractals and chaotic properties of earthquakes (1998), New York, Springer
9. Gutenberg B., and Richter C.F. Frequency of earthquakes in California. Bull. Seismol. Soc. Am. 34 (1944) 185-188
10. Kagan Y.Y. Correlations of earthquake focal mechanism. Geophys. J. Int. 110 (1992) 305-320
11. Kantelhardt J.W., Zschiegner S.A., Konscienly-Bunde E., Havlin S., Bunde A., and Stanley H.E. Multifractal detrended fluctuation analysis of nonstationary time series. Physica, A 316 (2002) 87-114
12. Lowen S.B., and Teich M.C. Estimation and simulation of fractal stochastic point processes. Fractals 3 (1995) 183-210
13. Martin M.T., Plastino A.R., and Plastino A. Tsallis-like information measures and the analysis of complex signals. Physica, A 275 (2000) 262-271
14. Meneveau C., and Sreenivasan K.R. The multifractal nature of turbulent energy dissipation. J. Fluid Mech. 224 (1991) 429-484
15. Molchan G., and Kronrod T. On the spatial scaling of seismicity rate. Geophys. J. Int. 162 (2005) 899
16. Parisi G., and Frisch U. In: Ghil M., Benzi R., and Parisi G. (Eds). In Turbulence and Predictability in Geophysical Fluid Dynamics and Climate Dynamics (1985), Amsterdam, North Holland
17. 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
18. Shimizu Y., Thurner S., and Ehrenberger K. Multifractal spectra as a measure of complexity in human posture. Fractals 10 (2002) 103-116
19. Stanley H.E., Afanasyev V., Amaral L.A.N., Buldyrev S.V., Goldberger A.L., Havlin S., Leschhorn H., et al. Anomalous fluctuations in the dynamics of complex systems: from DNA and physiology to econophysics. Physica, A 224 (1996) 302-321
20. Telesca L., and Lapenna V. Investigating the spatial variability of the time-scaling properties in Italian seismicity. Nonlinear Process. Geophys. 11 (2004) 545-552
21. Telesca L., and Macchiato M. Time-scaling properties of the Umbria-Marche 1997-1998 seismic crisis, investigated by the Detrended Fluctuation Analysis. Chaos, Solitons Fractals 19 (2004) 377-385
22. Telesca L., Cuomo V., Lanfredi M., Lapenna V., and Macchiato M. Investigating clustering structures in time-occurrence sequences of seismic events observed in the Irpinia-Basilicata Region (Southern Italy). Fractals 7 (1999) 221-234
23. Telesca L., Lapenna V., and Vallianatos F. Self-similarity properties of seismicity in the Southern Aegean Area. Tectonophysics 321 (2000) 179-188
24. Telesca L., Cuomo V., Lapenna V., and Macchiato M. Analysis of the time-scaling behaviour in the sequence of the aftershocks of the Bovec (Slovenia) April 12, 1998 earthquake. Phys. Earth Planet. Inter. 120 (2000) 315-326
25. Telesca L., Cuomo V., Lapenna V., and Macchiato M. Identifying space-time clustering properties of the 1983-1997 Irpinia-Basilicata (southern Italy) seismicity. Tectonophysics 330 (2001) 93-102
26. Telesca L., Cuomo V., Lapenna V., and Macchiato M. Statistical analysis of fractal properties of point processes modelling seismic sequences. Phys. Earth Planet. Inter. 125 (2001) 65-83
27. Telesca L., Cuomo V., Lapenna V., and Macchiato M. Depth-dependent time-clustering behavior in seismicity of southern California. Geophys. Res. Lett. 28 (2001) 4323-4326
28. Telesca L., Cuomo V., Lapenna V., and Macchiato M. Intermittent-type temporal fluctuations in seismicity of the Irpinia (southern Italy) region. Geophys. Res. Lett. 28 (2001) 3765-3768
29. α fluctuations of seismic sequences. Fluctuation Noise Lett. 2 (2002) L357-L367
30. Telesca L., Lapenna V., and Vallianatos F. Monofractal and multifractal approaches in investigating scaling properties in temporal patterns of the 1983-2000 seismicity in the Western Corinth Graben (Greece). Phys. Earth Planet. Inter. 131 (2002) 63-79
31. Telesca L., Lapenna V., and Macchiato M. Spatial variability of time-correlated behaviour in Italian seismicity. Earth Planet. Sci. Lett. 212 (2003) 279-290
32. Telesca L., Lapenna V., and Macchiato M. Investigating the time-clustering properties in seismicity of Umbria-Marche region (central Italy). Chaos, Solitons Fractals 18 (2003) 203-217
33. Telesca L., Cuomo V., Lapenna V., and Macchiato M. Detrended Fluctuation Analysis of the spatial variability of the temporal distribution of southern California seismicity. Chaos, Solitons Fractals 21 (2004) 335-342
34. Telesca L., Lapenna V., Lovallo M., and Macchiato M. Long-range time-correlation properties of seismic sequences. Chaos, Solitons Fractals 21 (2004) 387-393
35. Utsu T., Ogata Y., and Matsu'ura R.S. The centenary of the Omori formula for a decay law of aftershock activity. J. Phys. Earth 43 (1995) 1-33