Transitions from static to dynamic state in three stacked josephson junctions

Using the Sakai-Bodin-Pedersen model, a system of three perturbed sine-Gordon equations is numerically studied Effective numerical algorithms are proposed and realized to investigate the transitions from static to dynamic state in a stack of three Josephson junctions Critical currents for individual junctions are found for different values of the damping parameter at low magnetic field We show that the switching from static to dynamic state of the interior junction can trigger the switching of the exterior ones, and this process leads to current locking We find that the critical current of the individual junction depends on the damping parameter and on the static or dynamic states of the other junctions.