Fig. 11.

the crosses denote hyperbolic points whereas the groups of small concentric circles are each centered on an elliptic point (it is customary to describe each small circle group as an ‘island’). This illustration shows the self-similarity of the perturbed system: zooming into an island shows that it is made up of regular curves, islands (appearing in a neighbourhood of elliptic points) and intermingled with chaos (originating from around the hyperbolic points) but on a smaller scale. The zooming in can be repeated for the islands on this smaller scale too. In principle, this zooming into islands can be done on all scales.