Untitled

Abstract

We study dynamics of two coupled periodically driven oscillators. A classic example of such a system is a dynamic vibration absorber which consists of a small mass attached to the primary vibrating system of a large mass. Periodic solutions of the approximate effective equation (derived in our earlier papers) are determined within the Krylov-Bogoliubov-Mitropolsky approach to compute the amplitude profiles A (Ω). In the present paper, we investigate metamorphoses of the function A (Ω) induced by changes of the control parameters in the case of 1 : 3 resonances.