Forced synchronization of periodic oscillations in a system with phase multistability

The phenomenon of forced synchronization of periodic oscillations in the multistable system is studied by the example of two linear coupled modified oscillators with inertial nonlinearity. It was found out that external forcing at certain amplitudes can sufficiently change the structure of the phase space of the system. As a result, the synchronous regime breaking for in-phase and non-in-phase oscillations proceeds in accordance with different scenarios.