  We study the resonances of the quantum kicked rotor subjected to an
excitation that follows an aperiodic Fibonacci prescription. In such a case the
secondary resonances show a sub-ballistic behaviour like the quantum walk with
the same aperiodic prescription for the coin. The principal resonances maintain
the well-known ballistic behaviour. Then the parallelism previusly established
between the kicked rotor and the generalized quantum walk is retained only with
the secondary resonances.
