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Multifractal fluctuations in seismic interspike series

Author

Listed:
  • Telesca, Luciano
  • Lapenna, Vincenzo
  • Macchiato, Maria

Abstract

Multifractal fluctuations in the time dynamics of seismicity data have been analyzed. We investigated the interspike intervals (times between successive earthquakes) of one of the most seismically active areas of central Italy by using the Multifractal Detrended Fluctuation Analysis (MF-DFA). Analyzing the time evolution of the multifractality degree of the series, a loss of multifractality during the aftershocks is revealed. This study aims to suggest another approach to investigate the complex dynamics of earthquakes.

Suggested Citation

  • Telesca, Luciano & Lapenna, Vincenzo & Macchiato, Maria, 2005. "Multifractal fluctuations in seismic interspike series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 354(C), pages 629-640.
    • Handle: RePEc:eee:phsmap:v:354:y:2005:i:c:p:629-640
    DOI: 10.1016/j.physa.2005.02.053
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    Cited by:

    1. Xiong, Gang & Zhang, Shuning & Liu, Qiang, 2012. "The time-singularity multifractal spectrum distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4727-4739.
    2. Lin, Guangxing & Fu, Zuntao, 2008. "A universal model to characterize different multi-fractal behaviors of daily temperature records over China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(2), pages 573-579.
    3. Fernandes, Leonardo H.S. & de Araújo, Fernando H.A. & Silva, Igor E.M., 2020. "The (in)efficiency of NYMEX energy futures: A multifractal analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 556(C).
    4. Hernández-Pérez, R. & Guzmán-Vargas, L. & Ramírez-Rojas, A. & Angulo-Brown, F., 2010. "Pattern synchrony in electrical signals related to earthquake activity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(6), pages 1239-1252.
    5. Yuan, Ying & Zhuang, Xin-tian & Jin, Xiu, 2009. "Measuring multifractality of stock price fluctuation using multifractal detrended fluctuation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(11), pages 2189-2197.
    6. Serrano, E. & Figliola, A., 2009. "Wavelet Leaders: A new method to estimate the multifractal singularity spectra," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(14), pages 2793-2805.
    7. Fernandes, Leonardo H.S. & Araújo, Fernando H.A. & Silva, Igor E.M. & Leite, Urbanno P.S. & de Lima, Neílson F. & Stosic, Tatijana & Ferreira, Tiago A.E., 2020. "Multifractal behavior in the dynamics of Brazilian inflation indices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 550(C).
    8. Olivares, Felipe & Zanin, Massimiliano, 2022. "Corrupted bifractal features in finite uncorrelated power-law distributed data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    9. Ashutosh Chamoli & R. Yadav, 2015. "Multifractality in seismic sequences of NW Himalaya," 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. 77(1), pages 19-32, May.
    10. Faheem Aslam & Wahbeeah Mohti & Paulo Ferreira, 2020. "Evidence of Intraday Multifractality in European Stock Markets during the Recent Coronavirus (COVID-19) Outbreak," IJFS, MDPI, vol. 8(2), pages 1-13, May.
    11. Fan, Xingxing & Lin, Min, 2017. "Multiscale multifractal detrended fluctuation analysis of earthquake magnitude series of Southern California," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 225-235.
    12. Pastén, Denisse & Pavez-Orrego, Claudia, 2023. "Multifractal time evolution for intraplate earthquakes recorded in southern Norway during 1980–2021," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    13. Gulich, Damián & Zunino, Luciano, 2012. "The effects of observational correlated noises on multifractal detrended fluctuation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(16), pages 4100-4110.
    14. Suchetana Sadhukhan & Poulomi Sadhukhan, 2022. "Sector-wise analysis of Indian stock market: Long and short-term risk and stability analysis," Papers 2210.09619, arXiv.org.
    15. He, Ling-Yun & Chen, Shu-Peng, 2010. "Are crude oil markets multifractal? Evidence from MF-DFA and MF-SSA perspectives," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(16), pages 3218-3229.
    16. Maiorino, Enrico & Livi, Lorenzo & Giuliani, Alessandro & Sadeghian, Alireza & Rizzi, Antonello, 2015. "Multifractal characterization of protein contact networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 428(C), pages 302-313.
    17. Flores-Márquez, E.L. & Ramírez-Rojas, A. & Telesca, L., 2015. "Multifractal detrended fluctuation analysis of earthquake magnitude series of Mexican South Pacific Region," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 1106-1114.

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