  By methods of numerical simulations the dynamics of interaction of radially
symmetric Bellavin-Polyakov type topological vortex in (2+1)-dimensional O(3)
nonlinear sigma model is investigated. Obtained numerically the model of
topological vortex decay for different values of radius of ring-shaped
structure of their energy density onto the localized perturbations, where the
sum of Hopf index is preserved. It is shown that the stability of topological
solitons, in particularly, depends on the values of radius of ring-shaped
structure of their energy density.
