We calculate the period of recurrence of dynamical systems comprising two
interacting bosons. A number of theoretical issues related to this problem are
discussed, in particular, the conditions for small periodicity. The knowledge
gathered in this way is then used to propose a notion of dynamical stability
based on the stability of the period. Dynamical simulations show good agreement
with the proposed scheme. We also apply the results to the phenomenon known as
coherent population trapping and find stability conditions in this specific
case.Comment: 7+ pages, 5 figure