E3S Web Conf.
Volume 62, 2018IX International Conference “Solar-Terrestrial Relations and Physics of Earthquake Precursors”
|Number of page(s)||9|
|Section||Geophysical Fields and their Interactions|
|Published online||07 November 2018|
The Lorenz system and its generalizations as dynamo models with memory
1 Institute of Cosmophysical Researche and Radio Wave Propagation FEB RAS, 684034 Paratunka, Kamchatka region, Russia
2 Kamchatka State Technical University, 683003 Petropavlovsk - Kamchatsky, Russia
3 Vitus Bering Kamchatka State University, 683032 Petropavlovsk - Kamchatsky, Russia
* e-mail: email@example.com
The one of the known applications of the classical Lorenz system is an axisymmetric αω-dynamo with a dynamical quenching of the α-effect by the helicity. In this paper we consider generalizations of the Lorentz system, which are the models of α2 - and α2ω-dynamo. The cases of finite and infinite memory in the quenching functional are considered. The conditions for the existence of stationary dynamo regimes and regimes of regular and chaotic inversions are analytically and numerically studded.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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