Abstract
Study of the dynamics of periodic variations with the periods from 1 to 27 days using the wavelet transform and scaling analysis by the method of modulus maxima of the wavelet transform coefficients is carried out using the results of instrumental observations of the geomagnetic field performed at the Belsk Central Geophysical Observatory in 2008 and 2018 (low solar activity) and in 2014 (high solar activity). A change in the intensity of periodic variations is established. The close to monofractal nature of diurnal geomagnetic variations is shown. The 27-day variation and its harmonics have a higher degree of multifractality during the solar maximum compared to the solar minimum.
This is a preview of subscription content, log in via an institution to check access.
REFERENCES
T. Rikitake, Electromagnetism and the Earth’s Interior (Elsevier, Amsterdam-London-New York, 2012).
V. V. Adushkin, S. A. Riabova, and A. A. Spivak, Geomagnetic Effects for the Natural and Anthropogenic Processes (GEOS, Moscow, 2021) [in Russian].
S. A. Riabova and A. A. Spivak, Geomagn. Aeron. (Engl. Transl.) 57 (2), 199–207 (2017). https://doi.org/10.1134/S0016793217020128
S. A. Riabova, Geomagn. Aeron. (Engl. Transl.) 59 (1), 115 (2019). https://doi.org/10.1134/S0016793218060130
M. J. A. Bolzan, R. R. Rosa, and Y. Sahai, Ann. Geophys. 27, 569–576 (2009). https://doi.org/10.5194/angeo-27-569-2009
S. Riabova, in Proc. 19th Int. Multidisciplinary Sci. Geoconf. SGEM 2019, Vol. 19: Informatics, Geoinformatics and Remote Sensing, No. 2.1: Informatics Geoinformatics (Albena, 2019), pp. 769‒775.
K. Falconer, Fractals: a Very Short Introduction, 1st ed. (Oxford Univ. Press, Oxford, 2013).
S. A. Riabova and A. A. Spivak, Geomagnetic Variations in the Surface Zone of the Earth (Grafiteks, Moscow, 2019) [in Russian].
V. V. Vityazev, Wavelet Analysis of the Time Series (St. Petersburg State Univ., St. Petersburg, 2001) [in Russian].
E. Foufoula-Georgiou and P. Kumar, Wavelets in Geophysics (Acad. Press, New York, 1995).
C. Torrence and G. P. Compo, Bull. Am. Meteorol. Soc. 79, 605–618 (1998).
Y. Meyer, Wavelets: Algorithms and Applications (Soc. Indust. Appl. Math., Philadelphia, 1993).
S. Riabova, J. Phys. Conf. Ser. 1141, 012146 (2018).https://doi.org/10.1088/1742-6596/1141/1/012146
N. M. Astaf’eva, Usp. Fiz. Nauk 166 (11), 1145–1170 (1996).
J. F. Muzy, E. Bacry, and A. Arneodo, Int. J. Bifurcation Chaos 4, 245–302 (1994).
F. N. Rifqi, N. S. A. Hamid, A. B. Rabiu, and A. Yoshikawa, Universe 7 (7), 248 (2021). https://doi.org/10.3390/universe7070248
B. Toledo, P. Medina, S. Blunier, J. Rogan, M. Stepanova, and J. A. Valdivia, Entropy 23 (5), 558 (2021). https://doi.org/10.3390/e23050558
J. A. Wanliss, J. Geophys. Res. 110, A03202 (2005). https://doi.org/10.1029/2004JA010544
H. L. Wei, S. A. Billings, and M. Balikhin, Nonlin. Process. Geophys. 11, 303–312 (2004).
N. Zaourar, M. Hamoudi, M. Mandea, G. Balasis, and M. Holschneider, Earth, Planets Space 65, 1525–1540 (2013).
Funding
This work was carried out under a State Assignment of the Sadovsky Institute of Geosphere Dynamics of Russian Academy of Sciences, on the subject “Manifestation of the Natural and Man-Made Processes in Geophysical Fields,” project no. 1220329000185-5, and a State Assignment of the Schmidt Institute of Physics of the Earth of Russian Academy of Sciences.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The author declares that she has no conflicts of interest.
Additional information
Translated by L. Mukhortova
Rights and permissions
About this article
Cite this article
Riabova, S.A. Study of the Multifractality of Geomagnetic Variations at the Belsk Observatory. Dokl. Earth Sc. 507 (Suppl 2), S299–S303 (2022). https://doi.org/10.1134/S1028334X22700489
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1028334X22700489