Synchronous motion of two vertically excited planar elastic pendula

The dynamics of two planar elastic pendula mounted on the horizontally excited platform have been studied. We give evidence that the pendula can exhibit synchronous oscillatory and rotation motion and show that stable in-phase and anti-phase synchronous states always co-exist. The complete bifurcational scenario leading from synchronous to asynchronous motion is shown. We argue that our results are robust as they exist in the wide range of the system parameters.

► Synchronous motion of oscillating and rotating pendula.
► Bifurcational scenario from synchronization desynchronization.
► Synchronous motion only in the case of periodic behaviour of pendula.
► Co-existence of in-phase and antiphase synchronization.