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A manifestation of a novel type of hysteresis related to the parametricresonance in the system of coupled Josephson junctions is demonstrated.Opposite to McCumber and Steward hysteresis, we find that the width of thishysteresis is inversely proportional to the McCumber parameter and depends alsoon coupling between junctions and the boundary conditions. An investigation oftime dependence of the electric charge in superconducting layers allow us toexplain the origin of this hysteresis by different charge dynamics forincreasing and decreasing bias current processes. The effect of wavelength ofthe longitudinal plasma waves created at the resonance on the charging ofsuperconducting layers is demonstrated. We found a strong effect of thedissipation in the system on the amplitude of the charge oscillations at theresonance.

Charging of Superconducting Layers and Novel Type of Hysteresis in Coupled Josephson Junctions