  The emergence of the magnetic minibads in the quasienergy spectrum of
graphene superlattice subjected to the quantizing magnetic field and
electromagnetic radiation was investigated. The graphene superlattice was
assumed to be formed by space-periodical modulation of the gap in the vicinity
of the Dirac point of the graphene band structure. The explicit form of the
Floquet spectrum of electron was derived in the case of weak spatial
modulation. Minibads widths were shown to change with ac electric field
amplitude. The possibility of electron-electron bound states was shown. The
binding energies of these states were shown to be the function of the amplitude
of ac electric field.
