A planetary resonant effect in Parker stellar dynamo

The effect of periodic pumping on dynamo generation in the simplest Parker model is studied in this work. Pumping is understood in the sense that the periodic parameters oscillations in the dynamo system leads to a change in the rate of the exponential growth of the mean magnetic field. And since the Parker model simultaneously describes its time oscillations as the field grows, this phenomenon is very similar to parametric resonance in the classical model of a harmonic oscillator. With the help of asymptotic analysis and numerical simulation, we demonstrate both pump regions similar to parametric resonance, as well as different amplification regions at high driving force frequencies, and suppression regions at low frequencies, find the gain maximum and investigate the behavior of the critical pump frequency separating the regions of generation and suppression.