<p>A bouncing droplet in association with Faraday waves gives rise to a wave-particle system. When two bouncing droplets are trapped in separate cavities, this hydrodynamic pilot-wave system leads to nonlinear oscillators that can spontaneously synchronize in a more general fashion than the celebrated Kuramoto dynamical system. Synchronization takes place in both the phase as well as the range of the oscillations. Due to bouncing the wave-droplet nonlinear interaction is intermittent and there are no explicit coupling-terms between the oscillators. The underlying wave field plays an important role as the system’s memory. In contrast the Kuramoto system has explicit coupling terms, no memory mechanism, and is here examined under an intermittent coupling between the oscillators. The goal is to highlight the effect of the underlying wave field of the droplet, a dynamical ingredient which provides a more complete and intricate synchronization features. Different intermittent-coupling time-scales are tested. The Kuramoto system can still spontaneously synchronize in a fluctuating fashion. For the bouncing droplets the underlying Faraday wave field plays an important role in the robust synchronization in phase and energy-like levels, even in presence of a highly intermittent coupling.</p>