  Numerical investigations on non-analytic quantum kicked systems are
presented. A new type of localization - power-law localization is found to be
universal in the nonanalytic systems. With increasing the perturbation
strength, a transition from perturbative localization to pseudo-integrable
system, to dynamical localization and to complete extension is clearly
demonstrated. The dependence of the localization length on perturbation is
given in different parameter regimes.
