A unified approach of catastrophic events

Natural Hazards and Earth System Science

Volumn 4, Issue 5-6, 2004, Pages 615-631

  Nikolopoulos, S ^a   Kapiris, P ^b   Karamanos, K ^c   Eftaxias, K ^b  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

^b UNIVERSITY OF ATHENS   (Greece)

^c UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

CATASTROPHIC EVENT; NATURAL HAZARD; STATISTICAL ANALYSIS;

EID: 11244341069     PISSN: 15618633     EISSN: None     Source Type: Journal    
DOI: 10.5194/nhess-4-615-2004     Document Type: Article

References (74)

1. Albano, A., Muench, J., Schwartz, C., Mees, A., and Rapp, P.: Singular values decomposition and the Grassberger-Procaccia algorithm, Phys. Rev. A, 38, 3017-3026, 1988.
2. Alexeev, D. and Egorov, P.: Persistent cracks accumulation under loading of rocks and concentration criterion of failure, Reports of RAS 333, 6, 769-770, (in Russian), 1993.
3. Alexeev, D., Egorov, P., and Ivanov, V.: Hurst statistics of time dependence of electromagnetic emission under rocks loading, Physical-Technical problems of exploitation of treasures of the soil, 5, 27-30, (in Russian), 1993.
4. Bak, P.: How nature works, Oxford: Oxford UP, 1997.
5. Bak, P. and Tang, C.: Earthquakes as a self-organized critical phenomenon, J. Geophys. Res., 94, 15 635-15 637, 1989.
6. Bak, P., Tang, C., and Weisenfeld, K.: Self-organized criticality: an explanation of 1/f noise, Phys. Rev. A, 38, 364-374, 1987.
7. Beggs, J. and Plenz, D.: Neuronal avalanches in neocortical circuits, J. Neurosci, 23, 11 167-11 177, 2003.
8. Broomhead, D. and King, G.: Extracting qualitative dynamics from experimental data, Physica D, 20, 217-236, 1986.
9. Contoyiannis, Y., Diakonos, F., Kapiris, P., and Eftaxias, K.: Intermittent dynamics of critical pre-seismic electromagnetic fluctuations, Phys. Chem. Earth, 29, 397-408, 2004.
10. Dobrovolsky, I., Gershenzon, N., and Gokhberg, M.: Theory or Electrokinetic Effects occurring at the Final State in the preparation of a Tectonic Earthquake, Physics of the Earth and Planetary Interiors, 57, 144-156, 1989.
11. Eftaxias, K., Kopanas, J., Bogris, N., Kapiris, P., Antonopoulos, G., and Varotsos, P.: Detection of electromagnetic earthquake precursory signals in Greece, Proc. Japan Acad., 76(B), 45-50, 2000.
12. Eftaxias, K., Kapiris, P., Polygiannakis, J., Bogris, N., Kopanas, J., Antonopoulos, G., Peratzakis, A., and Hadjicontis, V.: Signatures of pending earthquake from electromagnetic anomalies, Geophys. Res. Lett., 28, 3321-3324, 2001.
13. Eftaxias, K., Kapiris, P., Dologlou, E., Kopanas, J., Bogris, N., Antonopoulos, G., Peratzakis, A., and Hadjicontis, V.: EM anomalies before the Kozani earthquake: A study of their behavior through laboratory experiments, Geophys. Res. Lett., 29, 69/1-69/4, 2002.
14. Eftaxias, K., Kapiris, P., Polygiannakis, J., Peratzakis, A., Kopanas, J., and Antonopoulos, G.: Experience of short term earthquake precursors with VLF-VHF electromagnetic emissions, Natural Hazards and Earth System Sciences, 3, 217-228, 2003, SRef-ID: 1684-9981/nhess/2003-3-217.
15. Eftaxias, K., Frangos, P., Kapiris, P., Polygiannakis, J., Kopanas, J., Peratzakis, A., Skountzos, P., and Jaggard, D.: Review and a Model of Pre-Seismic electromagnetic emissions in terms of fractal electrodynamics, Fractals, 12, 243-273, 2004.
16. Farmer, A. and Swinney, H.: Independent coordinates for strange attractors from mutual information, Phys. Rev. A, 33, 1134-1140, 1986.
17. Fukuda, K., Nunes, L., and Stanley, H.: Similarities between communication dynamics in the Internet and the automatic nervous system, Europhys. Lett., 62, 189-195, 2003.
18. Gershenzon, N. and Bambakidis, G.: Modelling of seismo-electromagnetic phenomena, Russ. J. Earth Sci., 3, 247-275, 2001.
19. Gilden, D., Thornton, T., and Mallon, M.: 1/f noise in human cognition, Science, 267, 1837-1839, 1995.
20. Goldberger, A., Amaral, L., Hausdorff, J., Ivanov, P., and Peng, C.-K.: Fractal dynamics in physiology: Alterations with disease and aging, PNAS, 2466-2472, 2002.
21. Grassberger, P. and Procaccia, I.: Characterization of strange attractors, Phys. Rev. Lett., 50, 346-349, 1983.
22. Hayakawa, M.: Atmospheric and Ionospheric Electromagnetic Phenomena Associated with Earthquakes, Terrapub, Tokyo, 1999.
23. Hayakawa, M. and Fujinawa, Y.: Electromagnetic Phenomena Related to Earthquake Prediction, Terrapub, Tokyo, 1994.
24. Hayakawa, M. and Molchanov, O.: Seismo Electromagnetics, Terrapub, Tokyo, 2002.
25. Hayakawa, M., Ito, T., and Smirnova, N.: Fractal analysis of ULF geomagnetic data associated with the Guam eartquake on August 8, 1993, Geophys, Res. Lett., 26, 2797-2800, 1999.
26. Hayakawa, M., Itoh, T, Hattori, K., and Yumoto, K.: ULF electromagnetic precursors for an earthquake at Biak, Indonesia on February 17, 1996, Geophys. Res. Lett., 27(10), 1531-1534, 2000.
27. Heneghan, C. and McDarby, G.: Establishing the relation between detrended fluctuation analysis and power spectral density analysis for stohastic processes, Phys. Rev. E, 62, 6103-6110, 2000.
28. Herz, A. and Hopfield, J.: Earthquake cycles and neural reverberations: collective oscillations in systems with pulse-coupled threshold elements, Phys. Rev. Lett., 75, 1222-1225, 1995.
29. Hopfield, J.: Neurons, dynamics and computation, Physics Today, 40, 40-46, 1994.
30. Hristopulos, D.: Permissibility of fractal exponents and models of band-limited two-point functions for fGn and fBm random fields, Stohastic Environmental Research and Risk Assessment, 17, 191-216, 2003.
31. Hurst, H.: Long term storage capacity of reservoirs, Trans. Am. Soc. Civ. Eng., 116, 770-808, 1951.
32. Ivanov, P., Amaral, L., Goldberger, A., Havlin, S., Rosenblum, M., Struzik, Z., and Stanley, H.: Multifractality in human heartbeat dynamics, Nature, 399, 461-465, 1999.
33. Kaiser, G.: A. Friendly Guide to Wavelets, Birkhauser, 1994.
34. Kapiris, P., Polygiannakis, J., Nomicos, K., and Eftaxias, K.: VHF-electromagnetic evidence of the underlying pre-seismic critical stage, Earth Planets Space, 54, 1237-1246, 2002.
35. Kapiris, P., Eftaxias, K., Nomikos, K., Polygiannakis, J., Dologlou, E., Balasis, G., Bogris, N., Peratzakis, A., and Hadjicontis, V.: Evolving towards a critical point: A possible electromagnetic way in which the critical regime is reached as the rupture approaches, Nonlin. Proc. Geophys., 10, 1-14, 2003.
36. Kapiris, P., Balasis, G., Kopanas, J., Antonopoulos, G., Peratzakis, A., and Eftaxias, K.: Scaling similarities of multiple fracturing of solid materials, Nonlin. Proc. Geophys., 11, 137-151, 2004a, SRef-ID: 1607-7946/npg/2004-11-137.
37. Kapiris, P., Eftaxias, K., and Chelidze, T.: The electromagnetic signature of prefracture criticality in heterogeneous media, Phys. Rev. Lett., 92, 065 702/1-4, 2004b.
38. Karamanos, K., Nikolopoulos, S., and Hizanidis, K.: Block Entropy analysis of long recorded Electrocardiograms as a good way for discrimination between Normal subjects and Coronary patients, International Journal of Computing and Anticipatory systems (IJCAS, Liege, Proceedings of CASYS 2003), 2004.
39. Kugiumtzis, D.: State space reconstruction parameters in the analysis of chaotic time series - the role of the time window length, Physica D, 95, 13-28, 1996.
40. Li, X., Polygiannakis, J., Kapiris, P., Balasis, G., Peratzakis, A., Yao, X., and Eftaxias, K.: Evolving towards a biological or geophysical catastrophic event: emergence of isomorphic precursory alterations in scaling parameters in terms of intermitent criticality, in 4th International Conference on Fractals and Dynamics Systems in Geoscience, Kloster Seeon, Germany, May 19-22, Book of Abstract, 55-57, 2004.
41. Malamud, B., Morein, G., and Turcotte, D.: Forest fires: an example of self-oganized critical behavior, Science, 281, 1840-1842, 1998.
42. Mandelbrot, B. and Ness, J.: Fractional Brownian motions, fractional noises and applications, SIAM Rev., 10, 422-437, 1968.
43. Mantegna, R. and Stanley, H.: Scaling behavior in the dynamics of an economic index, Nature, 376, 46-49, 1995.
44. Maslov, S., Paczuski, M., and Bak, P.: Avalanches and 1/f Noise in Evolution and Growth Models, Phys. Rev. Lett., 73, 2162, 1994.
45. Meneveau, C. and Sreenivasan, K.: Simple multifractal cascade model for fully developed turbulance, Phys. Rev. Lett., 59, 1424-1427, 1987.
46. Mizutani, H. and Ishido, T.: A new interpretation of magnetic field variation associated with the Matsushiro earthquake occurrence, J. Geomagn. Geoelectr., 28, 179-188, 1976.
47. Nikolopoulos, S., Alexandridi, A., Nikolakeas, S., and Manis, G.: Experimental Analysis of Heart Rate Variability of Long-Recording Electrocardiograms in Normal Subjects and Patients with Coronary Artery Disease and Normal Left Ventricular Function, J. Biomed. Inf., 36, 202-217, 2003.
48. Peng, C., Havlin, S., Stanley, H., and Goldberger, A.: Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat timeseries, Chaos, 5, 82-87, 1995.
49. Pincus, S.: Approximate Entropy: A Complexity Measure for Biologic Time series Data, in The proceedings of IEEE 17th Annual Northeast Bioengineering Conference, pp. 35-36, New York: IEE Press, 1991.
50. Ponomarev, A., Zavyalov, A., Smirnov, V., and Lockner, D.: Physical modelling of the formation and evolution of seismically active fault zones, Tectonophysics, 277, 57-81, 1997.
51. Ramirez-Rojas, A., Pavia-Miller, C., and Angulo-Brown, F.: Statistical behavior of the spectral exponent and the correlation time of electric self-potential time series associated to the Ms=7.4 September 14, 1995 earthquake in Mexico, Phys. Chem. Earth, 29, 305-312, 2004.
52. Rundle, J., Klein, W., Gross, S., and Turcotte, D.: Boltzmann fluctuations in numerical simulations of nonequilibrium lattice threshold systems, Phys. Rev. Lett., 75, 1658-1661, 1995.
53. Rundle, J., Tiampo, K., Klein, W., and Martins, J. S.: Self-organization in leaky threshold systems: the influence of nearmean field dynamics and its implications for earthquakes, neurology, and forecasting, PNAS, 99, 2514-2521, 2002.
54. Sethna, J., Dahmen, K., and Myers, C.: Crackling noise, Nature, 410, 242-250, 2001.
55. Sornette, D.: Predictability of catastrophic events: Material rupture, earthquakes, turbulence, financial crashes, and human birth, PNAS, 99, 2522-2529, 2002.
56. Stanley, H.: Scaling, universality, and renormalization: Three pillars of modern critical phenomena, Rev. Mod. Phys., 71, S358-S366, 1999.
57. Stanley, H.: Exotic statistical physics: Applications to biology, medicine, and economics, Physica A, 285, 1-17, 2000.
58. Stanley, H., Amaral, L., Goldberger, A., Havlin, S., Ivanov, P., and Peng, C.: Statistical physics and physiology: Monofractal and multifractal approaches, Physica A, 106, 309-324, 1999.
59. Surkov, V., Uyeda, S., Tanaka, H., and Hayakawa, M.: Fractal properties of medium and seismoelectric phenomena, J. Geodynamics, 33, 477-487, 2002.
60. Takens, F.: Detecting strange attractors in turbulence, in Dynamical systems and turbulence, Warwick 1980: Proceedings of symposium held at the university of Warwick 1979-1980, Springer-Verlag, Berlin, 366-381, 1981.
61. Telesca, L. and Lapenna, V.: A new approach to investigate the correlation between geoelectrical time fluctuations and earthquakes in a seismic area of southern Italy, Geophys. Res. Lett., 28, 4375-4378, 2001.
62. Turcotte, D.: Fractals and chaos in geology and geophysics, Cambridge University Press, 1992.
63. Turcotte, D. and Rudle, J.: Self-organized complexity in the physical and social sciences, PNAS, 99, 2463-2465, 2002.
64. Usher, M., Stemmler, M., and Olami, Z.: Dynamic pattern formation leads to 1/f noise in neural populations, Phys. Rev. Lett., 74, 326-329, 1995.
65. Varotsos, P. and Alexopoulos, K.: Physical properties of the variation of the electric field of the earth preceding earthquakes, I, Tectonophysics, 110, 73-98, 1984a.
66. Varotsos, P. and Alexopoulos, K.: Physical properties of the variation of the electric field of the earth preceding earthquakes, II, Tectonophysics, 110, 99-125, 1984b.
67. Varotsos, P. and Sarlis, N.: A review of the recent VAN efforts: The explanation of the SES physical properties, in Lithosphere-Atmosphere-Ionosphere Coupling, Terrapub, Tokyo, 131-140, 2002.
68. Varotsos, P., Lazaridou, M., Eftaxias, M., ANtonopoulos, K., Makris, G., and Kopanas, J.: Short term earthquake prediction in Greece by seismic electric signals, in: A Critical Review of VAN, edited by: Lighthill, J., World Scientific, Singapore, 29-76, 1996.
69. Vicsek, T.: Fractal Growth Phenomena, World Scientific, Singapore, 1993.
70. Vicsek, T.: A question of scale, Nature, 411, 421, 2001.
71. Vicsek, T.: The bigger picture, Nature, 418, 131, 2002.
72. Wolf, A., Swift, J., Swinney, H., and Vastano, J.: Determining Lyapunov exponents from a time series, Physica D, 16, 285-317, 1965.
73. Worrell, G., Cranstoun, S., Litt, B., and Echauz, J.: Evidence for self-organized criticality in human epileptic hippocampus, Neurophysiology, Basic and Clinical, 13, 1-6, 2002.
74. Zhao, X. and Chen, T.: Type of self-organized criticality model based on neural networks, Phys. Rev. E, 65, 026 114-1-026 114-6, 2002.