Bifurcation diagram of macroscopic behavior in superconducting Josephson junctions

Analytical description of the effects occurring in the chain of Josephson junctions experimentally investigated in [1] within the resistive model for each of the junctions requires a complete analysis of the dynamics of the solitary contact under the action of the current source. We present the results of the bifurcation analysis of the above system in the region of large effective transition resistance, including the description of the circumstances of the heteroclinic loop failure. A diagram of the macroscopic dynamics modes of the solitary transition is obtained. Asymptotic decompositions in time and phase harmonics are constructed. The results of the analysis of peculiarities and sources of irregularity of the expansion by temporal harmonics are outlined, including specification of the type of peculiarities.