A new approach to the analysis of the phase space of f(R)-gravity
  We propose a new dynamical system formalism for the analysis of f(R)
cosmologies. The new approach eliminates the need for cumbersome inversions to
close the dynamical system and allows the analysis of the phase space of
f(R)-gravity models which cannot be investigated using the standard technique.
Differently form previously proposed similar techniques, the new method is
constructed in such a way to associate to the fixed points scale factors, which
contain four integration constants (i.e. solutions of fourth order differential
equations). In this way a new light is shed on the physical meaning of the
fixed points. We apply this technique to some f(R) Lagrangians relevant for
inflationary and dark energy models.
