Nonstationary oscillations in a system of two oscillators with cubic connection

Nonstationary oscillations in a system of two oscillators with a cubic connection arising in the problem of excitation of elastic vibrations in the scheme of a magnetostrictive transducer are considered. Three main oscillation modes were identified: regular beats, giant oscillations and asymmetric oscillations with a constant component. With respect to the mode of giant oscillations, it is shown that smooth oscillations are accompanied by frequent small fluctuations of small amplitude, the period of which is three orders of magnitude less than the period of the main oscillations. To interpret the observed phenomena, a model of dynamic potential is proposed, the movement of the minimum of which gives the main component of giant oscillations, and local fluctuations around the dynamic minimum provide a fine structure of frequent fluctuations.