We study numerically the time evolution of the coupled system of an el
ectron, described by a tight-binding model exhibiting metal-insulator
transition, interacting with vibrational degrees of freedom. Depending
on the initial energy of the electron, E(e)(0), its effective mass, m
, on how close to the mobility edge it is and the strength of the ele
ctron-phonon coupling, different types of localized and extended state
s are formed. We find, that, in general, an increase of E(e)(0) decrea
ses the ability of the system to form localized states, a large m doe
s not always favor localization and polaron formation is facilitated n
ear the mobility edge.