Phase-locking of fluxon oscillations in long Josephson junctions coupled through a resonator

Abstract The phase-locking map approach for studying fluxon dynamics is applied to one and two long Josephson junctions connected to a linear resonator. The fluxon frequency of a single junction is pulled by the resonator toward its resonant frequency. Two junction having different natural frequencies, coupled through a resonator, phase-lock over a substantial range of bias current.