  The model for the cold-fusion reactions related to the synthesis of
super-heavy nuclei in collisions of heavy projectile-nuclei with $^{208}$Pb
target nucleus is discussed. In the framework of this model the production of
the compound nucleus by two paths through, the di-nuclear system and the fusion
way, are taken into account simultaneously. The formation of the compound
nucleus in the framework of the di-nuclear system is related to the transfer of
nucleons from the light nucleus to the heavy one. The fusion way is linked to
the sequential evolution of the nuclear shape from the system of contacting
nuclei to the compound nucleus. It is shown that the compound nucleus is mainly
formed by the fusion way in the cold-fusion reactions. The landscape of the
potential energy related to the fusion path is discussed in detail. This
landscape for very heavy nucleus-nucleus systems has the intermediate state,
which is linked to the formation of both the compound nucleus and the
quasi-fission fragments. The decay of the intermediate state is taken into
account in the calculation of the compound nucleus production cross sections
and the quasi-fission cross sections. The values of the cold-fusion cross
sections obtained in the model are well agreed with the experimental data.
