Extended phase-space analysis of the Horava-Lifshitz cosmology
  We examine the phase space of Ho\v{r}ava-Lifshitz cosmology for a wide range
of self-interacting potentials for the scalar field under the detailed-balance
condition and without imposing it, by means of the powerful method of
$f$-devisers. A compactification approach is performed for the exponential
potential and for potentials beyond the exponential one, extending the previous
findings in the literature. By using this approach it is possible to describe
the finite region of the phase space and the region where the phase-space
variables becomes infinity. Furthermore, we present several results concerning
the stability of the \emph{de Sitter} solution in Ho\v{r}ava-Lifshitz cosmology
using Center Manifold theory. The advantages of this procedure are unveiled
immediately when it is compared with the Normal Forms Calculations presented
before in the literature.
