Basin boundaries and robustness of nonlinear dynamic systems

We present a method of computing a series of sets that approximates the bas in of attraction for a given solution of a nonlinear dynamic system. The co nstruction technique uses the general cell-mapping method in conjunction wi th an adaptive subdivision of the initial cell space. Our method provides a series of sets that contains the basin of attraction. Thus, we can approxi mate the robustness of a given solution from below.