  Given a Morse function f on a closed manifold M with distinct critical
values, and given a field F, there is a canonical complex, called the
Morse-Barannikov complex, which is equivalent to any Morse complex associated
with f and whose form is simple. In particular, the homology of M with
coefficients in F is immediately readable on this complex. The bifurcation
theory of this complex in a generic one-parameter family of functions will be
investigated. Applications to the boundary manifolds will be given.
