We discuss numerical simulations of mean field dynamics which strongly
indicate a chaotic behavior of nuclear matter inside the spinodal reg
ion. Spontaneous symmetry-breaking - no explicit fluctuating term is c
onsidered - occurs leading to large and unpredictable density fluctuat
ions. A proper recipe to calculate an average Lyapunov exponent in thi
s multidimensional phase space is introduced. The latter is calculated
for different values of the density in order to characterize in a qua
ntitative way the chaotic and regular regions. These results strongly
suggest that nuclear multifragmentation occurring at intermediate ener
gy in heavy-ion reactions could be generated by a chaotic mechanism.