Along the lines of subsection 5.1.3 I now show in subsection 5.3.1 that the quantum kicked harmonic oscillator can be mapped onto a model system that is very similar to the ANDERSON model. In subsections 5.3.2 and 5.3.3 I argue that although the oscillator case is more intricate than the rotor case, the former nevertheless exhibits ANDERSON localization in a certain well-defined way. In subsection 5.3.4 I then discuss some consequences of these results and mark a striking difference to the localization result discussed in subsection 5.1.3 with respect to the quantum kicked rotor.