  The derivation of the brackets among coordinates and momenta for classical
constrained systems is a necessary step toward their quantization. Here we
present a new approach for the determination of the classical brackets which
does neither require Dirac's formalism nor the symplectic method of Faddeev and
Jackiw. This approach is based on the computation of the brackets between the
constants of integration of the exact solutions of the equations of motion.
From them all brackets of the dynamical variables of the system can be deduced
in a straightforward way.
