Chaotic Regime Simulation of Magnetic Field in a Large-Scale Four-Mode \(\alpha \Omega \) -Dynamo Model with Hereditary \(\alpha \) -Quenching by Field Energy

The paper summarizes the results of a study of the low-mode \(\alpha \Omega \) -dynamo model for the possibility of simulating a chaotic regime. The operation of the \(\alpha \) - and \(\Omega \) -generators is determined by the Lorentz force. It is assumed that the control of the \(\alpha \) -generator intensity is carried out in the model through a hereditary process, which is included in the form of an additive correction.