  In this note I survey the extensive literature on the dynamics of large
series arrays of identical current biased Josephson junctions coupled through
various shared loads. The equations describing the dynamics are invariant under
permutation of the junctions so that in addition to the usual dynamical systems
and numerical methods, group theoretic methods can be applied. In practice it
is desirable to operate these circuits at a stable in-phase oscillation. The
works summarized here are devoted to the study of where in parameter space the
in-phase oscillations are stable and how the stability is lost. In particular,
they focus on the variety of states produced through bifurcation as the
in-phase oscillation loses stability. These states include discrete rotating
waves and semirotors.
