Suppose that F is a C-infinity diffeomorphism of the plane with hyperbolic
fixed point p for which a branch of the unstable manifold, W-+(u)(p), has a
same-sided quadratic tangency with the stable manifold, W-s(p). If the eig
envalues of DF at p satisfy a non-resonance condition, each nonempty open s
et of cl(W-+(u)(p)) contains a copy of any continuum that can be written as
the inverse limit space of a sequence of unimodal bonding maps.