Fractal behaviour of the seismicity in the Southern Iberian Peninsula

Nonlinear Processes in Geophysics

Volumn 12, Issue 3, 2005, Pages 353-361

  Lana, X ^a   Martinez M D ^a   Posadas, A M ^b,c   Canas, J A ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^b UNIVERSITY OF ALMERÍA   (Spain)

^c UNIVERSITY OF GRANADA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

FRACTAL ANALYSIS; SEISMICITY;

EASTERN HEMISPHERE; EURASIA; EUROPE; IBERIAN PENINSULA; SOUTHERN EUROPE; WORLD;

EID: 17144380850     PISSN: 10235809     EISSN: None     Source Type: Journal    
DOI: 10.5194/npg-12-353-2005     Document Type: Article

References (26)

1. Bak, P., Christensen, K., Danon, L., and Scanlon, T.: Unified scaling law for earthquakes, Phys. Rev. Lett., 88, 12, 178501, 1-4, 2002.
2. Buzug, T. and Pfister, G.: Comparison of algorithms calculating optimal parameters for delay time coordinates, Physica D, 58, 127, 1992.
3. Cohen, A. and Procaccia, I.: Estimation of the Kolmogorov entropy from time signals of dissipative and conservative dynamical systems, Phys. Rew. (A), 31, 1872-1882, 1983.
4. Correig, A. M. and Urquizú, M.: Chaotic behaviour of coda waves in the Eastern Pyrenees, Geophys. J. Int., 126, 113-122, 1996.
5. Correig, A. M., Urquizú, M., and Vila, J.: Aftershock series of event February 18, 1996: an interpretation in terms of self-organised criticality, J. Geophys. Res., 102, B 12, 27 407-27 420, 1997a.
6. Correig, A. M., Urquizú, M., Vila, J., and Martí, J.: Analysis of the temporal occurrence of seismicity at Deception Island (Antarctica), A non-linear approach, Pure Appl. Geophys., 149, 553-574, 1997b.
7. Davidsen, J. and Paczuski, M.: Analysis of the spatial distribution between successive earthquakes, Phys. Rev. Lett., 94, 048501, 2005.
8. Diks, C.: Nonlinear time series analysis, Nonlinear Time Series and Chaos (4), World Scientific, London, 209pp, 1999.
9. Eckmann, J. P., Oliffson, S., Ruelle, D., and Ciliberto, S.: Lyapunov exponents from time series, Phys.. Rew. (A), 34, 6, 4971-4979, 1986.
10. Feder J.: Fractals, Ed. Plenum, New York, 1988.
11. Goltz: C.: Fractal and Chaotic Properties of Earthquakes, Lecture Notes in Earth Sciences (77), Springer, Berlin, 178pp, 1997
12. Grassberger, P. and Procaccia, I.: Characterization of strange attractors, Phys. Rev. Lett., 50, 346-349, 1983a.
13. Grassberger, P., and Procaccia, I.: Estimation of the Kolmogorov entropy from a chaotic signal, Phys. Rev. (A), 28, 2591, 1983b.
14. Korvin, G.: Fractal models in Earth sciences, Elsevier, Amsterdam, 1992.
15. Posadas, A. M., Morales, J., Vidal, F., Sotolongo-Costa, O., and Antoranz, J. C.: Continuous Time Random Walks and Seismic Series: Southern Spain Seismic Series and Lévy Flights, J. Seismol., 6, 62-67, 2002.
16. Ruelle, D.: Deterministic chaos: The Science and the Fiction, Proc. R. Soc. London A, 427, 241-248, 1990.
17. Smalley, R. F., Chatelain, J. L., Turcotte, D. L., and Prébot, R.: A fractal approach to the clustering of earthquakes: application to the seismicity of New Hebrides, Bull. Seism. Soc. Am., 77, 4, 1368-1381, 1987.
18. Stoop, R. and Meier, P. F.: Evaluation of Lyapunov exponents and scaling functions from time series, J. Opt. Soc. Am. (B), 5, 1037-1045, 1988.
19. Takens, F.: Detecting strange attractors in turbulence. In: Lecture Note in Mathematics, edited by: Rand, D. A. and Young L. S., Springer, Berlin, 1981.
20. Theiler, J.: Lacunarity in a best estimator of fractal dimension, Phys. Lett. (A), 133, 195-200, 1988.
21. Theiler, J.: Estimating fractal dimension, J. Opt. Soc. Am., 7, 1055-1073, 1990.
22. Tosi, P., de Ruveis, V., Loreto, V., and Pietronero, L.: Influence length and space-time correlation between earthquakes, Physics, 0409033, http://arxiv.org/abs/physics/0409033, 2004.
23. Turcotte, D. L.: Fractal and Chaos in Geology and Geophysics, Cambridge University Press, New York, 1992.
24. Urquizú, M. and Correig, A. M.: Analysis of seismic dynamical systems, J. Seismol., 2, 159-171, 1998.
25. Vázquez, A., Sotolongo-Costa, O., and Brouers, F.: Diffusion regimes in Lévy flights with trapping, Physica A, 264, 424-431, 1998.
26. Wu, Z.: Remark on metric analysis of recontrucyerd dynamics from chaotic time series, Physica D, 85, 485-495, 1995.