Geodesic
Research of the parametric space of the three-mode $\alpha\omega$-dynamo model
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 26 (2019) no. 1, pp. 54-62 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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, Lorentz system.
Mots-clés : inversions 
@article{VKAM_2019_26_1_a4,
     author = {E. A. Kazakov},
     title = {Research of the parametric space of the three-mode $\alpha\omega$-dynamo model},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {54--62},
     year = {2019},
     volume = {26},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2019_26_1_a4/}
}
TY  - JOUR
AU  - E. A. Kazakov
TI  - Research of the parametric space of the three-mode $\alpha\omega$-dynamo model
JO  - Vestnik KRAUNC. Fiziko-matematičeskie nauki
PY  - 2019
SP  - 54
EP  - 62
VL  - 26
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/VKAM_2019_26_1_a4/
LA  - ru
ID  - VKAM_2019_26_1_a4
ER  - 
%0 Journal Article
%A E. A. Kazakov
%T Research of the parametric space of the three-mode $\alpha\omega$-dynamo model
%J Vestnik KRAUNC. Fiziko-matematičeskie nauki
%D 2019
%P 54-62
%V 26
%N 1
%U http://geodesic.mathdoc.fr/item/VKAM_2019_26_1_a4/
%G ru
%F VKAM_2019_26_1_a4
E. A. Kazakov. Research of the parametric space of the three-mode $\alpha\omega$-dynamo model. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 26 (2019) no. 1, pp. 54-62. http://geodesic.mathdoc.fr/item/VKAM_2019_26_1_a4/

[1] Zeldovich Y. B., Rusmaikin A. A., Sokoloff D. D., Magnetic felds in astrophysics. The Fluid Mechanics of Astrophysics and Geophysics., Gordon and Breach, New York, 1983, 382 pp. | MR

[2] Kuznecov S. P., Dinamicheskij haos [Dynamic chaos], Fizmatlit, Moskva, 2006, 356 pp. (in Russian)

[3] Tabor M., Haos i integriruemost' v nelinejnoj dinamike [Chaos and nonlinear dynamics integrability], Editorial URSS, Moskva, 2001, 585 pp. (in Russian)

[4] Parker E. N., “Hydromagnetic dynamo models”, Astrophysical Jour, 1955, no. 122, 293–314 | DOI | MR

[5] Sokolov D. D., Nefedov S. N., “Malomodovoe priblizhenie v zadache zvezdnogo dinamo [Low-mode approximation in the stellar dynamo problem]”, Vychislitel'nye metody i programmirovanie, 2007, no. 2, 195–204 (in Russian)

[6] Spravochnik po matematike dlya nauchnyh rabotnikov i inzhenerov [Math Handbook for Scientists and Engineers], Nauka, Moskva, 1968, 720 pp. (in Russian)