Russian Journal of Nonlinear Dynamics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Rus. J. Nonlin. Dyn.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Russian Journal of Nonlinear Dynamics, 2022, Volume 18, Number 2, Pages 289–296
DOI: https://doi.org/10.20537/nd220209
(Mi nd793)
 

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
References:
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.
Funding agency
This study has been performed within the framework of RAS project AAAA-A19-119012290101-5. DS is gratefull for support of the Ministry of Education and Science of the Russian Federation as part of the program of the Moscow Center for Fundamental and Applied Mathematics under the agreement No. 075-15-2019-1621 and BASIS foundation under grant 21-1-1-4-1.
Received: 30.03.2022
Accepted: 27.05.2022
Bibliographic databases:
Document Type: Article
Language: english
Citation: P. Frick, R. Okatev, D. Sokoloff, “Spectral Properties of Low-order Dynamo Systems”, Rus. J. Nonlin. Dyn., 18:2 (2022), 289–296
Citation in format AMSBIB
\Bibitem{FriOkaSok22}
\by P. Frick, R. Okatev, D. Sokoloff
\paper Spectral Properties of Low-order Dynamo Systems
\jour Rus. J. Nonlin. Dyn.
\yr 2022
\vol 18
\issue 2
\pages 289--296
\mathnet{http://mi.mathnet.ru/nd793}
\crossref{https://doi.org/10.20537/nd220209}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4445321}
Linking options:
  • https://www.mathnet.ru/eng/nd793
  • https://www.mathnet.ru/eng/nd/v18/i2/p289
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Russian Journal of Nonlinear Dynamics
    Statistics & downloads:
    Abstract page:95
    Full-text PDF :38
    References:13
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024