  We give a complete classification of analytic equivalence of germs of
parametric families of systems of complex linear differential equations
unfolding a generic resonant singularity of Poincare rank 1 in dimension $n =
2$ whose leading matrix is a Jordan bloc. The moduli space of analytic
equivalence classes is described in terms of a tuple of formal invariants and a
single analytic invariant obtained from the trace of monodromy, and analytic
normal forms are given. We also explain the underlying phenomena of confluence
of two simple singularities and of a turning point, the associated Stokes
geometry, and the change of order of Borel summability of formal solutions in
dependence on a complex parameter.
