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Title: APPLICATION OF THE WAVELET TRANSFORM MODULUS MAXIMA METHOD TO ANALYZE THE MULTIFRACTAL BEHAVIOR OF GEOMAGNETIC VARIATIONS
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APPLICATION OF THE WAVELET TRANSFORM MODULUS MAXIMA METHOD TO ANALYZE THE MULTIFRACTAL BEHAVIOR OF GEOMAGNETIC VARIATIONS
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1314-2704
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English
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19
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2.1
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The objective of this research is to analyze the multifractal behavior of geomagnetic field corresponding to the well-known 27-day variation (solar rotation period) and its harmonics and the 1-day (solar diurnal) periodicities. We discuss the multifractal behavior of geomagnetic variations recorded at the middle latitude stations, using wavelet transform modulus maxima (WTMM). The WTMM is capable of partitioning the time and scale domain of a signal into fractal dimension regions, and the method is sometimes referred to as a "mathematical microscope" due to its ability to inspect the multi-scale dimensional characteristics of a signal and possibly inform about the sources of these characteristics. WTMM provides an understanding of the multifractal scaling behavior of a signal using the multifractal singularity spectra and the generalized Hurst exponents as diagnostic tools. In this research it is established that the 1-day period exhibits monofractal behavior regardless of the solar activity. Results indicate that except for the 1-day period, the geomagnetic variations at all other periods shows a higher degree of multifractality during solar maximum compared to solar minimum.
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conference
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19th International Multidisciplinary Scientific GeoConference SGEM 2019
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19th International Multidisciplinary Scientific GeoConference SGEM 2019, 30 June - 6 July, 2019
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Proceedings Paper
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STEF92 Technology
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International Multidisciplinary Scientific GeoConference-SGEM
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Bulgarian Acad Sci; Acad Sci Czech Republ; Latvian Acad Sci; Polish Acad Sci; Russian Acad Sci; Serbian Acad Sci & Arts; Slovak Acad Sci; Natl Acad Sci Ukraine; Natl Acad Sci Armenia; Sci Council Japan; World Acad Sci; European Acad Sci, Arts & Letters; Ac
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769-776
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30 June - 6 July, 2019
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website
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cdrom
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5422
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wavelet transform modulus maxima; INTERMAGNET magnetic observatories; fractal scaling behavior; multifractal singularity spectra; generalized Hurst exponents
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