Modes of magnetic field generation in models of a αΩ-dynamo with a power type α-generator

Abstract

In the dynamic model αΩ-dimensions are simulated reversions of the magnetic field with a varying intensity of the α-generator. The change of the α-generator intensity as a result of synchronization of higher modes of the velocity field and the magnetic field is regulated by a function Z(t) with a power kernel. Dynamo modes are obtained for two types of radial component in the scalar parameterization of the α-effect. The results were analyzed depending on the change in the exponent of the kernel of the function Z(t) and the type of the power kernel, also a comparative analysis with the results of the study [9], where the exponential kernel of the function Z(t) was used.

Temporal regularities of changing magnetic field generation modes in the model of the αΩ-dynamo

“…1). Substituting in the system (6) decompositions 7, (8) and the function (9). After applying the Galerkin method, we get the system…”