  Parabolic bifurcations in one complex dimension demonstrate a wide variety of
interesting dynamical phenomena. In this paper we consider parabolic
bifurcations of families of diffeomorphisms in two complex dimensions.
Specifically we consider a two variable family of diffeomorphisms $F_\epsilon:
M\to M$ given locally by $$F_\epsilon(x,y) = (x + x^2 + \epsilon^2+ ...,
b_\epsilon y+...)$$ where $|b_\epsilon|<1$, and the `$...$' terms involve $x$,
$y$ and $\epsilon$.
