The complete synchronization manifold and its stability between the symmetric oscillators of an array of coupled RCL-shunted Josephson junctions are analyzed when there is no phase difference between the applied fields.In the presence of phase difference

bifurcation diagrams and maximum Lyapunov exponent curves of error system with phase difference as the control parameter are obtained by numerical calculation.The results show that the phase difference can desynchronize the synchronized oscillators and tame chaos in the system.The existence of lag synchronization in the array is discussed theoretically.We find that the symmetric oscillators with long distance have higher level of lag synchronization and the lag synchronization cannot be found in small array.Meanwhile

the analytic relation between phase difference and delay time for lag synchronization is derived.