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Multimode Representation of the Magnetic Field for the Analysis of the Nonlinear Behavior of Solar Activity as a Driver of Space Weather

Author

Listed:
  • Elena Popova

    (Centro de Investigación en Astronomía, Universidad Bernardo O’Higgins, Santiago 8370854, Chile)

  • Anatoli I. Popov

    (Institute of Solid State Physics, University of Latvia, LV-1063 Riga, Latvia)

  • Roald Sagdeev

    (Department of Physics, University of Maryland, College Park, MD 20742-4111, USA)

Abstract

Estimating and predicting space weather is important to the space industry and space missions. The driver of space weather, especially near the Earth, is solar activity, the study of which is an important task. In particular, there is a direction of problems based on models of solar magnetic field generation that require research. In our work, we build a nonlinear dynamic system of equations that describes the behavior of the solar magnetic field harmonics based on the alpha-omega dynamo model. We found that, at the beginning of the magnetic field generation process, when the dynamo number significantly exceeds the threshold, the most rapidly growing waves are in the lead. Then, over time, these waves stop growing quite quickly. In this case, the initially slowly increasing harmonics of the magnetic field become the leaders, which then make the main contribution to the process of magnetic field generation.

Suggested Citation

  • Elena Popova & Anatoli I. Popov & Roald Sagdeev, 2022. "Multimode Representation of the Magnetic Field for the Analysis of the Nonlinear Behavior of Solar Activity as a Driver of Space Weather," Mathematics, MDPI, vol. 10(10), pages 1-10, May.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:10:p:1655-:d:814064
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    References listed on IDEAS

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    1. Voyant, Cyril & Notton, Gilles & Kalogirou, Soteris & Nivet, Marie-Laure & Paoli, Christophe & Motte, Fabrice & Fouilloy, Alexis, 2017. "Machine learning methods for solar radiation forecasting: A review," Renewable Energy, Elsevier, vol. 105(C), pages 569-582.
    2. Deng, Shuning & Ji, Jinchen & Wen, Guilin & Xu, Huidong, 2021. "A comparative study of the dynamics of a three-disk dynamo system with and without time delay," Applied Mathematics and Computation, Elsevier, vol. 399(C).
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    Cited by:

    1. Mingzhen Gui & Hua Yang & Dangjun Zhao & Mingzhe Dai & Chengxi Zhang, 2023. "Analysis and Compensation of Sun Direction Error on Solar Disk Velocity Difference," Mathematics, MDPI, vol. 11(17), pages 1-14, August.

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