We present results of recent numerical simulations on the non-linear response of a single-electron atom submitted to an intense laser pulse. We address both the questions of the light scattered by the atom and the possible stabilization against ionization. One of the results of our simulations is the the presence of hyper-Raman lines in the high-order harmonic spectra. We suggest that these lines could be a signature of atomic stabilization. PACS numbers: 32.80.Rm, 42.65.KyHigh-order harmonic generation by rare gas atomic targets and the possible stabilization of atoms in the presence of ultra-intense laser pulses have emerged, since the late eighties, as new topics in the field of multiphoton physics. Before, it was commonly accepted in the community that a bound atomic system could never experience the strong field strengths needed to observe these processes. More precisely, experimental evidences seemed to indicate that the higher the laser field strength, the larger the multiphoton ionization probabilities. It was observed in fact that, for haser pulses with durations comprised between 10 -9 s and a few picosecond, saturation occurred for ionization, i.e. a whole atomic sample was ionized in the higher intensity range. Accordingly, it was suggested that in an ultra-intense pulse the atoms would be ionized well before the intensity had reached its maximum [1]. It is interesting to note that, were this picture be correct, it would have implied that most multiphoton processes could be described within a mostly perturbative framework, as the non-perturbative regime could never be experienced by actual bound atomic systems. A consequence of this scenario would have been that only a few harmonics of the laser frequency, with exponentially decreasing intensities, could be generated by a strongly laser-driven atomic system.It is in the late eighties that it was first shown experimentally [2,3] that, in fact, the harmonic spectra do not display such a behaviour and that, on the contrary, they are characterized by a conspicuous plateau which can extend well beyond the 100th harmonic and is often followed by an abupt cut-off [4]. Understandably, this has attracted a lot of attention and many theoretical simulations, (191)