Physical Review B
Analytical results are presented which characterize the behavior of a dc-biased, two-dimensional circular array of overdamped Josephson junctions subject to increasing levels of disorder. It is shown that high levels of disorder can abruptly destroy the synchronous functioning of the array. We identify the transition boundary between synchronized and desynchronized behavior, along with the mechanism responsible for the loss of frequency locking. Comparisons with recent results for arrays with rectangular lattice geometries are described.
A.S. Landsberg . (2000). Disorder-induced Desynchronization in a 2x2 Circular Josephson Junction Array. Physical Review B 61(5): 3641-3648.