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Vestnik KRAUNC. Fiz.-Mat. Nauki, 2019, Volume 26, Number 1, Pages 54–62 (Mi vkam341)  

MATHEMATICAL MODELING

Research of the parametric space of the three-mode $\alpha\omega$-dynamo model

E. A. Kazakovab

a Kamchatka State Technical University
b Kamchatka State University named after Vitus Bering

Abstract: In the framework of this work, we study a simple phenomenological model of a $\alpha\omega$-dynamo, with dynamic suppression of a $\alpha$-generator by a quadratic form from a magnetic field component. In particular, suppression of spiralness and energy is available. The shape of the nucleus is determined, and the system of differentiation of the Lorentz type. In general, the models have the possibility of a wide range of functional and quadratic forms. Compared with the classical case of the Lorentz system.

Keywords: $\alpha\omega$-dynamo, field helicity, field energy, inversions, Lorentz system.

DOI: https://doi.org/10.26117/2079-6641-2019-26-1-54-62

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Full text: http://krasec.ru/kaz2019261/
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UDC: 512.24
MSC: 37N10
Received: 06.02.2019

Citation: E. A. Kazakov, “Research of the parametric space of the three-mode $\alpha\omega$-dynamo model”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 26:1 (2019), 54–62

Citation in format AMSBIB
\Bibitem{Kaz19}
\by E.~A.~Kazakov
\paper Research of the parametric space of the three-mode $\alpha\omega$-dynamo model
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2019
\vol 26
\issue 1
\pages 54--62
\mathnet{http://mi.mathnet.ru/vkam341}
\crossref{https://doi.org/10.26117/2079-6641-2019-26-1-54-62}
\elib{https://elibrary.ru/item.asp?id=38190074}


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