  Non-perturbative quantum geometric effects in Loop Quantum Cosmology predict
a $\rho^2$ modification to the Friedmann equation at high energies. The
quadratic term is negative definite and can lead to generic bounces when the
matter energy density becomes equal to a critical value of the order of the
Planck density. The non-singular bounce is achieved for arbitrary matter
without violation of positive energy conditions. By performing a qualitative
analysis we explore the nature of the bounce for inflationary and Cyclic model
potentials. For the former we show that inflationary trajectories are
attractors of the dynamics after the bounce implying that inflation can be
harmoniously embedded in LQC. For the latter difficulties associated with
singularities in cyclic models can be overcome. We show that non-singular
cyclic models can be constructed with a small variation in the original Cyclic
model potential by making it slightly positive in the regime where scalar field
is negative.
