  The recurrence phenomena of an initially well localized wave packet are
studied in periodically driven power-law potentials. For our general study we
divide the potentials in two kinds, namely tightly binding and loosely binding
potentials. In the presence of an external periodically modulating force, these
potentials may exhibit classical and quantum chaos. The dynamics of a quantum
wave packet in the modulated potentials displays recurrences at various time
scales. We develop general analytical relations for these times and discuss
their parametric dependence.
