  The paper deals with the studies of forced impacting oscillator when are
taken into account the dry and viscous resistance, as well as the generalized
Hertz contact law during an impact. The numerical treatments of mathematical
model are accompanied with the validations on the base of experimental rig. To
study the solutions of the mathematical model, we construct the sequences of
impacts, when the system is evolved in periodic and chaotic modes. The
statistical properties of chaotic impact events are considered in more details.
In particular, we analyze the successive iterations of impact map,
autocorrelation function and coefficient of variation for the impact train, the
histograms for the inter-impact intervals and values of obstacle penetrations.
It is revealed that the impact sequence is stationary but non-Poissonian and
contains temporal scales which do not relate to the external stimulus. This
sequence can be described by a bimodal distribution. These findings are
confirmed by the analysis of experimental data.
