Effect of coupling on scheme of hysteresis jumps in current-voltage   characteristics of intrinsic Josephson junctions in high- superconductors
  We report the numerical calculations of the current-voltage characteristics of intrinsic Josephson junctions in high- superconductors. The charging effect at superconducting layers is taken into account. A set of equations is used to study the non-linear dynamics of the system. In framework of capacitively coupled Josephson junctions model we obtain the total number of branches using fixed initial conditions for phases and their derivatives. The influence of the coupling constant \alpha on the current-voltage characteristics at fixed parameter \beta (\beta^2=1/\beta_c, where \beta_c is McCumber parameter) and the influence of \alpha on \beta-dependence of the current-voltage characteristics are investigated. We obtain the \alpha-dependence of the branch's slopes and branch's endpoints. The obtained results show new features of the coupling effect on the scheme of hysteresis jumps in current-voltage characteristics of intrinsic Josephson junctions. 
Yu.M.Shukrinov, and F.Mahfouzi