  We construct discrete analogs of Skyrmions in nonlinear dynamical lattices.
The Skyrmion is built as a vortex soliton of a complex field, coupled to a dark
radial soliton of a real field. Adjusting the Skyrmion ansatz to the lattice
setting allows us to construct a "baby-Skyrmion" in two dimensions (2D) and
extend it into the 3D case (1D counterparts of the Skyrmions are also found).
Stability limits for these patterns are obtained analytically and verified
numerically. The dynamics of unstable discrete Skyrmions is explored, and their
stabilization by external potentials is discussed.
