The Spectral Decomposition of the Solution of the Problem of Generating Galactic Magnetic Fields in the No-z Approximation
One of the most popular models for the generation of magnetic fields in galaxies is the no-z approximation in dynamo theory. It allows one to reduce the problem of the evolution of the magnetic field to solving a system of two equations for components that lie in the plane of the galactic disk. Usually, the study of such problems is carried out numerically. Moreover, in some cases, this system of equations gives us an opportunity to find an analytical solution, which makes it possible to answer a number of important fundamental questions. In this paper, a spectral decomposition of the solution of the corresponding problem is presented and the critical values of the dynamo numbers for various modes of the solution are determined.