Geodesic
Reversals of the magnetic field in one low-dimensional $\alpha\Omega$-dynamo model
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 4 (2016), pp. 17-23 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We describe a low-mode dynamo model. This model implements the various known regimes of cosmic dynamo systems, in particular, the various regimes of reversals. The source of regular reversals in the model is its internal dynamics. Violation of this cyclicality, transition to the chaotic regime of reversals are caused by fluctuations of the parameters, that are interpreted as the result of spontaneous coherent addition of the higher modes. The simplicity of the model allows you to easily modify it for various celestial bodies.
Keywords: dynamo models, reversals. 
@article{VKAM_2016_4_a2,
     author = {G. M. Vodinchar and A. N. Godomskaya and O. V. Sheremetyeva},
     title = {Reversals of the magnetic field in one low-dimensional $\alpha\Omega$-dynamo model},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {17--23},
     year = {2016},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2016_4_a2/}
}
TY  - JOUR
AU  - G. M. Vodinchar
AU  - A. N. Godomskaya
AU  - O. V. Sheremetyeva
TI  - Reversals of the magnetic field in one low-dimensional $\alpha\Omega$-dynamo model
JO  - Vestnik KRAUNC. Fiziko-matematičeskie nauki
PY  - 2016
SP  - 17
EP  - 23
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/VKAM_2016_4_a2/
LA  - ru
ID  - VKAM_2016_4_a2
ER  - 
%0 Journal Article
%A G. M. Vodinchar
%A A. N. Godomskaya
%A O. V. Sheremetyeva
%T Reversals of the magnetic field in one low-dimensional $\alpha\Omega$-dynamo model
%J Vestnik KRAUNC. Fiziko-matematičeskie nauki
%D 2016
%P 17-23
%N 4
%U http://geodesic.mathdoc.fr/item/VKAM_2016_4_a2/
%G ru
%F VKAM_2016_4_a2
G. M. Vodinchar; A. N. Godomskaya; O. V. Sheremetyeva. Reversals of the magnetic field in one low-dimensional $\alpha\Omega$-dynamo model. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 4 (2016), pp. 17-23. http://geodesic.mathdoc.fr/item/VKAM_2016_4_a2/

[1] Zeldovich Ya. B., Ruzmaikin A. A., Sokolov D. D., Magnitnye polya v astrofizike, RKhD, M.–Izhevsk, 2006 [Zeldovich Ya. B., Rusmaikin A. A., Sokoloff D. D., Magnetic fields in astrophysics, Gordon and Breach, New York, 1983]

[2] Krause F., Radler K. H., Mean-filed magnetohydrodynamics and dynamo theory, Academic-Verlag, Berlin, 1980 | MR

[3] Merril R. T., McElhinny M. W., McFadden P. L., The Magnetic Field of the Earth: Paleomagnetism, the Core, and the Deep Mantle, Academic Press, London, 1996

[4] Rikitake T., Electromagnetism and the Earth’s interior, Elsevier, Amsterdam, 1965

[5] Ruzmaikin A. A., “The solar cycle as a strange attractor”, Comm. Astrophys., 85:9 (1981) | MR

[6] Schmitt D., Ossendrijver M. A. J. H., Hoyng P., “Magnetic field reversals and secular variation in a bistable dynamo model”, Phys. Earth Planet. Inter., 125 (2001), 119–124 | DOI

[7] Petrelis F., Fauve S., Dormy E., Valet J.-P., “Simple Mechanism for Reversals of Earth's Magnetic Field”, Phys. Rev. Lett., 102 (2009), 144503 | DOI

[8] Feschenko L. K., Vodinchar G. M., “Reversals in the large-scale $\alpha\Omega$-dynamo with memory”, Nonlin. Processes Geophys., 22 (2015), 361–369 pp. | DOI | Zbl

[9] Kolesnichenko A V., Marov M. Ya., Turbulentnosti samoorganizatsiya. Problemy modelirovaniya kosmicheskikh i prirodnykh sred, BINOM, M., 2009

[10] Vodinchar G. M., Feshchenko L. K., “Model of Geodynamo driven by six-jet convection in the Earth's core”, Magnetohydrodynamics, 52:1 (2016), 287–300

[11] Sokolov D. D., Nefedov S. N., “Malomodovoe priblizhenie v zadache zvezdnogo dinamo”, Vychislitel’nye metody i programmirovanie, 8 (2007), 195–204