We describe the effects of disorder on the coherence properties of a 2
X2 array of Josephson junctions (a ''plaquette''). The disorder is int
roduced through variations in the junction characteristics. We show th
at the array will remain one-to-one frequency locked despite large amo
unts of the disorder, and determine analytically the maximum disorder
that can be tolerated before a transition to a desynchronized state oc
curs. Connections with larger NxM arrays are also drawn. (C) 1995 Amer
ican Institute of physics.