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Simplified model for current-voltage characteristics of weak links issuggested. It is based on an approach considering the multiple Andreevreflection in metallic Josephson junction. The model allows to calculatecurrent-voltage characteristics of the superconductor - normal metal -superconductor junctions with different thicknesses of normal layer atdifferent temperatures. A hysteretic peculiarity of $V(I)$ dependence isdescribed as result of the negative differential resistance. Thecurrent-voltage characteristic of high-$T_c$ composite YBCO +BaPbO${_3}$ werecomputed.Comment: 9 pages, 5 figures, submited to Supercond. Sci. Technol, replased  Fig.5 for more correct comparison with experimen

Description of hysteretic current–voltage characteristics of superconductor–normal metal–superconductor junctions