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Mathematical problems of nonlinearity
Spectral Properties of Low-order Dynamo Systems
P. Frickab, R. Okatevba, D. Sokoloffcd a Perm State University,
ul. Bukireva 15, Perm, 614068 Russia
b Institute of Continuous Media Mechanics,
ul. Akad. Korolyova 1, Perm, 614018 Russia
c Department of Physics, Lomonosov Moscow State University
Moscow Center for Fundamental and Applied Mathematics,
GSP-1, Leninskie Gory, Moscow, 119991 Russia
d IZMIRAN,
Kaluzhskoe sh. 4, Troitsk, Moscow, 108840 Russia
Abstract:
The solar 11-year activity cycle is a famous manifestation of magnetic activity of celestial
bodies. The physical nature of the solar cycle is believed to be large-scale magnetic field excitation
in the form of a wave of a quasi-stationary magnetic field propagating from middle solar latitudes
to the solar equator. The power spectrum of solar magnetic activity recorded in sunspot data
and underlying solar dynamo action contains quite a stable oscillation known as the 11-year
cycle as well as the continuous component and some additional weak peaks. We consider a low-
order model for the solar dynamo. We show that in some range of governing parameters this
model can reproduce spectra with pronounced dominating frequency and wide spectral peaks in
the low-frequency region. The spectra obtained are qualitatively similar to the observed solar
activity spectrum.
Keywords:
solar activity, solar dynamo, low-order models, spectral properties.
Received: 30.03.2022 Accepted: 27.05.2022
Citation:
P. Frick, R. Okatev, D. Sokoloff, “Spectral Properties of Low-order Dynamo Systems”, Rus. J. Nonlin. Dyn., 18:2 (2022), 289–296
Linking options:
https://www.mathnet.ru/eng/nd793 https://www.mathnet.ru/eng/nd/v18/i2/p289
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Abstract page: | 95 | Full-text PDF : | 38 | References: | 13 |
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