We use a probabilistic approach to compute the distributions of period
s, transients and weights of attraction basins in Kauffman networks. T
he results for these quantities are obtained in the framework of the a
nnealed approximation, first introduced by Derrida and Pomeau. Numeric
al results for the average periods are in good agreement with the comp
uted values of the exponents. We report also on some interesting featu
res which cannot be explained within the annealed approximation.