Two-dimensional arrays of Josephson junctions in a magnetic field: A stability analysis of synchronized states

We report the results of a Floquet analysis of two-dimensional arrays of resistively and capacitively shunted Josephson junctions in an external transverse magnetic field. The Floquet analysis indicates stable phase locking of the active junctions over a finite range of values of the bias current and junction capacitance, even in the absence of an external load. This stable phase locking is robust against critical current disorder, up to at least a +/-25% rms spread in critical currents. [S0163-1829(99)02310-3]