Numerical simulations are presented for the cross-flow over two staggered circular cylinders in the low subcritical Reynolds number regime with Re =1500, with the upstream of the two cylinders subject to a transverse harmonic oscillation. A vortex method is implemented for the solution of the unsteady two-dimensional Navier-Stokes equations. The effect of varying the frequency of oscillation of the upstream cylinder, with fixed amplitude of oscillation, is investigated. The numerical flow visualization results reveal a synchronization of the wake structure with the oscillating cylinder for different ranges of the excitation frequency. Four distinct synchronization modes are identified, and are compared with available experimental data.