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Dynamical complexity detection in pre-seismic emissions using nonadditive Tsallis entropy

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  • Kalimeri, M.
  • Papadimitriou, C.
  • Balasis, G.
  • Eftaxias, K.

Abstract

We investigate, within the framework of nonextensive Tsallis entropy, particular aspects of the relation between signal analysis and signals originating in a very special nonlinear system: the focal area of an impending earthquake. The Tsallis-like time-dependent entropy is shown to be a rather powerful tool for providing a novel quantitative strategy for monitoring the focal area states just before the earthquake occurrence.

Suggested Citation

  • Kalimeri, M. & Papadimitriou, C. & Balasis, G. & Eftaxias, K., 2008. "Dynamical complexity detection in pre-seismic emissions using nonadditive Tsallis entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(5), pages 1161-1172.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:5:p:1161-1172
    DOI: 10.1016/j.physa.2007.10.053
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    References listed on IDEAS

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    1. Tsallis, Constantino, 2004. "Dynamical scenario for nonextensive statistical mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(1), pages 1-10.
    2. Vilar, C.S. & França, G.S. & Silva, R. & Alcaniz, J.S., 2007. "Nonextensivity in geological faults?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(1), pages 285-290.
    3. Naudts, Jan, 2002. "Deformed exponentials and logarithms in generalized thermostatistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 316(1), pages 323-334.
    4. Carbone, Anna & Stanley, H. Eugene, 2007. "Scaling properties and entropy of long-range correlated time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(1), pages 21-24.
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    Cited by:

    1. Eftaxias, Konstantinos & Minadakis, George & Potirakis, Stelios. M. & Balasis, Georgios, 2013. "Dynamical analogy between epileptic seizures and seismogenic electromagnetic emissions by means of nonextensive statistical mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(3), pages 497-509.
    2. Potirakis, Stelios M. & Zitis, Pavlos I. & Eftaxias, Konstantinos, 2013. "Dynamical analogy between economical crisis and earthquake dynamics within the nonextensive statistical mechanics framework," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(13), pages 2940-2954.
    3. Telesca, Luciano & Lovallo, Michele & Ramirez-Rojas, Alejandro & Angulo-Brown, Fernando, 2009. "A nonlinear strategy to reveal seismic precursory signatures in earthquake-related self-potential signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(10), pages 2036-2040.
    4. Ferreira, Douglas S.R. & Ribeiro, Jennifer & Oliveira, Paulo S.L. & Pimenta, André R. & Freitas, Renato P. & Papa, Andrés R.R., 2020. "Long-range correlation studies in deep earthquakes global series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(C).
    5. Potirakis, S.M. & Minadakis, G. & Eftaxias, K., 2012. "Analysis of electromagnetic pre-seismic emissions using Fisher information and Tsallis entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 300-306.
    6. Zunino, L. & Pérez, D.G. & Kowalski, A. & Martín, M.T. & Garavaglia, M. & Plastino, A. & Rosso, O.A., 2008. "Fractional Brownian motion, fractional Gaussian noise, and Tsallis permutation entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(24), pages 6057-6068.
    7. Contoyiannis, Y.F. & Nomicos, C. & Kopanas, J. & Antonopoulos, G. & Contoyianni, L. & Eftaxias, K., 2010. "Critical features in electromagnetic anomalies detected prior to the L’Aquila earthquake," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(3), pages 499-508.
    8. Papapetrou, M. & Kugiumtzis, D., 2020. "Tsallis conditional mutual information in investigating long range correlation in symbol sequences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    9. S. Potirakis & G. Minadakis & K. Eftaxias, 2012. "Sudden drop of fractal dimension of electromagnetic emissions recorded prior to significant earthquake," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 64(1), pages 641-650, October.
    10. Ioannis, Koutalonis & Filippos, Vallianatos, 2020. "Observational evidence of non-extensive behavior of seismic coda waves," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 550(C).
    11. Eftaxias, K., 2010. "Footprints of nonextensive Tsallis statistics, selfaffinity and universality in the preparation of the L’Aquila earthquake hidden in a pre-seismic EM emission," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(1), pages 133-140.
    12. Minadakis, George & Potirakis, Stylianos M. & Nomicos, Constantinos & Eftaxias, Konstantinos, 2012. "Linking electromagnetic precursors with earthquake dynamics: An approach based on nonextensive fragment and self-affine asperity models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(6), pages 2232-2244.
    13. Minadakis, G. & Potirakis, S.M. & Stonham, J. & Nomicos, C. & Eftaxias, K., 2012. "The role of propagating stress waves on a geophysical scale: Evidence in terms of nonextensivity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(22), pages 5648-5657.
    14. Scherrer, T.M. & França, G.S. & Silva, R. & de Freitas, D.B. & Vilar, C.S., 2015. "Nonextensivity at the Circum-Pacific subduction zones—Preliminary studies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 426(C), pages 63-71.

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