  In this contribution we consider the issue of singularity resolution within
loop quantum cosmology (LQC) for different homogeneous models. We present
results of numerical evolutions of effective equations for both isotropic as
well as anisotropic cosmologies, with and without spatial curvature. To address
the issue of singularity resolution we examine the time evolution of
geometrical and curvature invariants that yield information about the
semiclassical spacetime geometry. We discuss generic behavior found for a
variety of initial conditions. Finally, we show that the modifications which
come from Loop Quantum Cosmology imply a non-chaotic effective behavior in the
vacuum Bianchi IX model.
