  In many applications one is interested in finding the stability regions
(basins of attraction) of some stationary states (attractors). In this paper we
show that one cannot compute, in general, the basins of attraction of even very
regular systems, namely analytic systems with hyperbolic asymptotically stable
equilibrium points. To prove the main theorems, a new method for embedding a
discrete-time system into a continuous-time system is developed.
