The parametric resonance in the $\alpha\omega$-dynamo models

Abstract

It is shown, that retardation in the $\alpha$-quenching in the Parker's dynamo model leads to parametric resonance. This result is observed in the numerical simulations and can be reproduced in the simple analytic model. The other interesting effect in the model with retardation is a appearance of the long-term processes with the period much larger than the typical time of retardation.