  The main goal of this work is to propose a generalized model of interacting
dark energy which allows for the kinetic term of a scalar field to couple to
the matter species a priori in the action. We derive the modified field
equations, and present novel cosmological solutions for a specific coupled
model. One alluring consequence is the emergence of solutions allowing for an
early scaling regime, possible due to two novel critical points, followed by a
period of accelerated expansion. Using a dynamical system analysis, we show
that the presence of the coupling may alter the dynamical nature of the
critical points and can be used to enlarge the existence and stability regions
of these. Using constraints from Planck data we are able to find an upper bound
on the coupling parameter. Finally, it is shown how this theory encapsulates a
wide variety of dark energy models already present in the literature.
