Non-stationary delay of nonlinear oscillations of a magnetoelastic system under conditions of external excitation and initial magnetization offset

The phenomenon of non-stationary delay in excitation of high-amplitude chaotic oscillations in a system of two coupled oscillators is considered. A brief description of two real physical systems that allow excitation of chaotic oscillations with non-stationary delay is given. It is shown that oscillations in both systems can be de-scribed based on the same model of two coupled oscillators, one of which is non-linear and the other is linear. A system of two second-order differential equations is given for such a model. This system is simplified while preserving the kernel that provides the effect of delay in high-amplitude chaotic oscillations. The possibility of replacing external excitation in the system with the initial displacement of one of the oscillators is considered.