Аннотация:An example of nonone-dimensional autonomous differential system is constructed in which, on the one hand, all solutions starting in the exterior of the unit ball tend to zero as time tends to infinity, and on the other hand, the relative measure of the initial conditions of the solutions that begin in a ball centered at zero and move away from it at a sufficient distance with increasing time becomes arbitrarily close to unity as the ball radius tends to zero. The nonlinear system constructed in this paper also possesses the zero linear approximation alongthe zero solution.
