The Influence of Nonlinearity on the Process of Generation of a Magnetic Field in Stars with Sufficiently Large Dynamo Numbers

For a nonlinear dynamic system of equations describing the behavior of the harmonics of the solar magnetic field on the basis of the alpha-omega dynamo model, it is shown that, at the beginning of the magnetic field generation process, when the dynamo number significantly exceeds the threshold, the most rapidly growing waves are in the lead. Then, over time, they quite quickly stop growing and the initially slowly growing ones become the leading ones, which then make the main contribution to the process of generation of the magnetic field.