We describe the formation of spatial structures generated by diffusive inst
abilities in bistable systems. It is shown that the coupling between the di
fferent spatial modes emanating from the two homogeneous states can give ri
se to self-parametric instabilities favoring the occurrence of resonant qua
siperiodic structures such as superlattices or quasipatterns. (C) 2001 Acad
emie des sciences/Editions scientifiques et medicales Elsevier SAS.