  The binding energies of baryonic systems (BS) with baryon number $B=2, 3$ and
4 possessing heavy flavor, charm and bottom, are estimated within the rigid
oscillator version of the bound state approach to chiral soliton models. Two
tendencies are noted: the binding energy increases with increasing mass of the
flavor and with increasing $B$. Therefore, the charmed or bottomed baryonic
systems have more chances to be bound than strange baryonic systems discussed
previously. The flavor symmetry breaking in decay constants $F$ is considered
which is especially important for baryonic systems with bottom quantum numbers.
Generally, for heavy flavors the scale of the binding energies of BS depends on
the scale of flavor symmetry violation in $r_F=F_F/F_\pi$.
