A general procedure to identify instability regions which lead to mult
ifragmentation events is presented. The dominant mode at the instabili
ty point is determined from the knowledge of the mean properties (dens
ity and temperature) of the system at that point. For spinodal instabi
lities the dependence of fragment structures on the dynamical conditio
ns is studied changing the beam energy and the considered equation of
state. An important competition between two dynamical effects, expansi
on of the system and growth of fluctuations, is revealed. It is shown
that in heavy-ion central collisions at medium energies memory effects
of the configuration formed at the instability time could be observed
in the final fragmentation pattern. Some hints towards a fully dynami
cal picture of fragmentation processes are finally suggested.