106
4 Chaotic Scattering
Fig. 4.3 Mapping of the
fundamental area. (a) Initially
shaded points fill the
fundamental area. (b) After
one kick, shaded points are
stretched and folded once.
(c) After two kicks, shaded
points stretched and folded
again (plot by Christof Jung)
This means that, if we consider an initial trajectory far out in the asymptotic region
(either on the left or right) it might be in a spatial region that contains the tendrils
that come from mapping the system backward in time. If we evolve such a trajectory