We present a theoretical analysis of the dynamics of multijunction sup
erconducting quantum interference devices (SQUIDs). The small inductan
ce approximation allows to get analytical expressions for the Josephso
n phases and voltages, taking into account a finite value of the induc
tance of the SQUID cells. Contrary to most theoretical investigations
which exploited the first-harmonic approximation approach, our results
describe the behavior of the circuit for small values of the Josephso
n frequency as well. Analytical results have been shown to be in a goo
d agreement with numerical simulations. (C) 1998 American Institute of
Physics.