Geodesic
Hereditary low-mode dynamo model
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 35 (2021) no. 2, pp. 40-47 Cet article a éte moissonné depuis la source Math-Net.Ru

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This article discusses a dynamo model in the form of a two-dimensional dynamical system in integro-differential form. The model implements a stabilizing polarization generator in the form of suppression of the a effect of convolutional type functional from current and previous helicity and energy values. The presence of this suppression mechanism introduces hereditarity (memory) into the model. For modeling, a digital scheme was constructed in the form of a combination of difference schemes for the differential and integral parts, a twostep implicit Runge-Kutta method and a trapezium method, respectively. We also reviewed and graphically presented the dynamic modes of our model.
Keywords: principle of extremum, unique solvability, solvability, index of equation, integral equations.
Mots-clés : singular coefficient 
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E. A. Kazakov. Hereditary low-mode dynamo model. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 35 (2021) no. 2, pp. 40-47. http://geodesic.mathdoc.fr/item/VKAM_2021_35_2_a3/

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