Current-biased inductive cubic networks of Josephson junctions

The electrodynamic response of a current-biased inductive network of small Josephson junctions located at the edges of a cube of side a is studied. The dynamical equations for the gauge-invariant phase differences across the junctions are derived in the presence of a constant magnetic field H applied along an arbitrary direction in space. When H is applied in a direction parallel to one of the sides, it is found that the time evolution of the voltages across the branches of the network reproduces the well known features present in superconducting quantum interference devices.