Synchronization of nonlinear oscillations of two coupling Berger plates

The dynamical system arising in the study of nonlinear oscillations of two coupling plates is considered. The conditions under which the dynamical system possesses a global attractor are obtained. The continuous dependence of the attractor of the system on the coupling parameter is established. The phenomenon of synchronization of plate oscillations is studied. In particular, we describe values of the coupling parameter for which the system either synchronizes or does not synchronize at the level of attractors.