Regression Derivatives and Their Application in the Study of Magnetic Storms

Author:

Agayan S1ORCID,Bogoutdinov Shamil12ORCID,Sidorov Roman1ORCID,Soloviev Anatoly12ORCID,Kamaev Dmitry3ORCID,Aleksanyan Andron4,Dzeranov B15ORCID

Affiliation:

1. Geophysical Center RAS

2. Schmidt institute of physics of the Earth of the RAS

3. RPA “Typhoon”

4. Obninsk Institute for Nuclear Power Engineering

5. Vladikavkaz Scientific Center RAS

Abstract

Discrete Mathematical Analysis (DMA) is a data analysis method that uses fuzzy mathematics and fuzzy logic. DMA involves the active participation of the researcher in the study of records, offering technologies and algorithms for analyzing records through the properties of interest to the researcher. In the present work, such properties are related to regression derivatives, and the results obtained are applied to magnetic records. The possibilities of the method in the morphological analysis of geomagnetic storms are demonstrated on the example of three strongest storms that have occurred since the beginning of the current 25th solar cycle.

Publisher

Geophysical Center of the Russian Academy of Sciences

Reference34 articles.

1. Agayan, S., S. Bogoutdinov, A. Soloviev, and R. Sidorov (2016), The Study of Time Series Using the DMA Methods and Geophysical Applications, Data Science Journal, 15, https://doi.org/10.5334/dsj-2016-016., Agayan, S., S. Bogoutdinov, A. Soloviev, and R. Sidorov (2016), The Study of Time Series Using the DMA Methods and Geophysical Applications, Data Science Journal, 15, https://doi.org/10.5334/dsj-2016-016.

2. Agayan, S., S. Bogoutdinov, D. Kamaev, V. Kaftan, M. Osipov, and V. Tatarinov (2021a), Theoretical Framework for Determination of Linear Structures in Multidimensional Geodynamic Data Arrays, Applied Sciences, 11(24), 11,606, https://doi.org/10.3390/app112411606., Agayan, S., S. Bogoutdinov, D. Kamaev, V. Kaftan, M. Osipov, and V. Tatarinov (2021a), Theoretical Framework for Determination of Linear Structures in Multidimensional Geodynamic Data Arrays, Applied Sciences, 11(24), 11,606, https://doi.org/10.3390/app112411606.

3. Agayan, S., S. Bogoutdinov, R. Krasnoperov, and R. Sidorov (2021b), A Multiscale Approach to Geomagnetic Storm Morphology Analysis Based on DMA Activity Measures, Applied Sciences, 11(24), 12,120, https://doi.org/10.3390/app112412120., Agayan, S., S. Bogoutdinov, R. Krasnoperov, and R. Sidorov (2021b), A Multiscale Approach to Geomagnetic Storm Morphology Analysis Based on DMA Activity Measures, Applied Sciences, 11(24), 12,120, https://doi.org/10.3390/app112412120.

4. Agayan, S. M., S. R. Bogoutdinov, and R. I. Krasnoperov (2018), Short introduction into DMA, Russian Journal of Earth Sciences, 18(2), 1–10, https://doi.org/10.2205/2018es000618., Agayan, S. M., S. R. Bogoutdinov, and R. I. Krasnoperov (2018), Short introduction into DMA, Russian Journal of Earth Sciences, 18(2), 1–10, https://doi.org/10.2205/2018es000618.

5. Agayan, S. M., A. A. Soloviev, S. R. Bogoutdinov, and Y. I. Nikolova (2019), Regression Derivatives and Their Application to the Study of Geomagnetic Jerks, Geomagnetism and Aeronomy, 59(3), 359–367, https://doi.org/10.1134/s0016793219030022., Agayan, S. M., A. A. Soloviev, S. R. Bogoutdinov, and Y. I. Nikolova (2019), Regression Derivatives and Their Application to the Study of Geomagnetic Jerks, Geomagnetism and Aeronomy, 59(3), 359–367, https://doi.org/10.1134/s0016793219030022.

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