''Time evolution'' of coherent states defined in a finite-dimensional
Hilbert space is considered. Such states can be generated using the mo
del comprising a cavity filled with the nonlinear medium with the (2q
- 1)th nonlinearity chi((2q - 1)). TWO definitions of the finite-dimen
sional coherent states are considered: (i) Glauber-like coherent state
s and (ii) truncated coherent states. We concentrate our attention on
the periodic and quasi-periodic features in the evolution of these sta
tes.