  We investigate inflationary attractor points by analyzing non-minimally
coupled single field inflation models in two opposite limits; the `flat' limit
in which the first derivative of the conformal factor is small and the `steep'
limit, in which the first derivative of the conformal factor is large. We
consider a subset of models that yield Starobinsky inflation in the steep
conformal factor, strong coupling, limit and demonstrate that they result in
chaotic inflation in the opposite flat, weak coupling, limit. The suppression
of higher order powers of the inflaton field in the potential is shown to be
related to the flatness condition on the conformal factor. We stress that the
chaotic attractor behaviour in the weak coupling limit is of a different, less
universal, character than the Starobinsky attractor. Agreement with the COBE
normalisation cannot be obtained in both attractor limits at the same time and
in the chaotic attractor limit the scale of inflation depends on the details of
the conformal factor, contrary to the strong coupling Starobinsky attractor.
