Numerical localization (visualization) of attractors 
Because of many pictures of attracters in the article, I think it would be good to add something about
attractors visualization:
 
From computation point of view, attractors can be naturally regarded as self-exciting attractors or  hidden attractors. Self-exciting attractors can be localized numerically by standard computational procedure, in which after transient process a trajectory, started from a point of unstable manifold in a small neighborhood of unstable equilibrium, reaches an attractor and computes it (such examples are classical attractor in Van der Pol,  Beluosov–Zhabotinsky,  Lorenz, and many others dynamical systems). 
While  basin of attraction of  hidden attractors does not contain neighborhoods of equilibria, and therefore hidden attractor cannot be localized by standard computational procedure.