Preinflationary dynamics of power-law potential in loop quantum
  cosmology
  In this article, I mainly discuss the dynamics of the pre-inflationary
Universe for the potential $V(\phi) \propto \phi^n$ with $n=5/3$ in the context
of loop quantum cosmology, in which the big bang singularity is resolved by a
non-singular quantum bounce. In the case of the kinetic energy-dominated
initial conditions of the scalar field at the bounce, the numerical evolution
of the Universe can be split up into three regimes: {\em bouncing, transition,}
and {\em slow-roll inflation}. In the bouncing regime, the~numerical evolution
of the scale factor does not depend on a wide range of initial values, {or
on}~the inflationary potentials. I calculate the number of $e$-folds in the
slow-roll regime, by which observationally identified initial conditions are
obtained. Additionally, I display the phase portrait for the model under
consideration.
