Soliton dynamics in two coupled-ring Josephson junctions

The interaction of nonrelativistic (anti-) fluxons in two coupled-ring Jose phson junctions under the action of external currents is considered by usin g adiabatic perturbation theory. The asymptotic static and dynamic states a nd conditions for their coexistence are found from qualitative analysis of the system in the phase space. These states correspond to separate stable b ranches in the current-voltage characteristics, so that hysteresis occurs i n a system. Comparison with numerical calculations shows a qualitative agre ement with analytical predictions. [S0163-1829(99)01001-2].