  We extend the dynamical systems analysis of Scalar-Fluid interacting dark
energy models performed in C. G. Boehmer et al, Phys. Rev. D 91, 123002 (2015),
by considering scalar field potentials beyond the exponential type. The
properties and stability of critical points are examined using a combination of
linear analysis, computational methods and advanced mathematical techniques,
such as centre manifold theory. We show that the interesting results obtained
with an exponential potential can generally be recovered also for more
complicated scalar field potentials. In particular, employing power-law and
hyperbolic potentials as examples, we find late time accelerated attractors,
transitions from dark matter to dark energy domination with specific
distinguishing features, and accelerated scaling solutions capable of solving
the cosmic coincidence problem.
