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In the previous paper [arXiv:1911.02189], localization and delocalization phenomena in the polychromatically perturbed Anderson map (AM) were elucidated mainly from the viewpoint of localization-delocalization transition (LDT) on the increasing of the perturbation strength ǫ. In this paper, we mainly investigate the disorder strength W −dependence of the phenomena in the AM with a characetristic disorder strength W * . In the completely localized region the W −dependence and ǫ−dependence of the localization length show characteristic behavior similar to those reported in monochromatically perturbed case [PRE 97,012210(2018)]. Furthermore, the obtained results show that even for the increase of the W , the critical phenomena and critical exponent are found to be similar to those in the LDT caused by the increase of ǫ. We also investigate the diffusive properties of the delocalized states induced by the parameters.

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By using the kicked Harper model, the effect of dynamical perturbations to the localized and ballistic phases in aperiodic lattice systems is investigated. The transition from the localized phase to diffusive phase via a critical sub-diffusion t α (t:time) with 0 < α < 1 is observed. In addition, we first confirmed the existence of the transition from the ballistic phase to the diffusive phase via a critical super-diffusion with 1 < α < 2.

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