Abstract
The structure of the region of complete synchronization of a system of three connected Josephson junctions, non-identical in critical currents, was studied by the method of bifurcation analysis. On the plane of non-identity parameters, lines of saddle-node bifurcations, Neumark-Sacker bifurcations and period doublings were found, corresponding to a typical synchronization region. The influence of symmetry on the structure of the region of complete synchronization has been studied. In the system, under certain conditions, pitchfork bifurcation and associated bistability are possible. Bogdanov-Takens points, cusp points and fold-flip points are also indicated. The accumulation of points of the latter type is discussed based on cycles of doubling periods near the boundary of the synchronization and chaos regions.
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