ИСТИНА

This article examines the influence of the hysteresis link on the behavior of a system of coupled nonlinear oscillators with internal resonance. The sinusoidal CAN model for two interacting oscillators is chosen as the model of the hysteresis link. In earlier works, the Bouk-Ven model was chosen to describe hysteresis. The hysteresis loops of adjacent cycles differ due to the irreversibility of the processes accompanied by energy dissipation. Analytical matching of hysteresis curves of adjacent cycles is a difficult task. Such mathematical models often turn out to be not only complex, but also very limited for describing real processes, and the KAN theorem can be used to describe hysteresis during non-stationary oscillations of a mechanical system.