The experimental and numerical study of parallel one-dimensional array
s consisting of double-layer stacked small Josephson tunnel junctions
is reported. In addition to several features already known for classic
single-layer arrays, we find a new resonant state which corresponds t
o the locking of the fluxon oscillations to a frequency of small-ampli
tude oscillations of the superconducting phase in middle islands of sm
all stacks. Numerical simulations of a simplified circuit agree well w
ith experiments and confirm the suggested qualitative mechanism. In th
ese experiments we find no indication for the so-called multiple-fluxo
n propagation in double-junction arrays. (C) 1997 American Institute o
f Physics.