In the Henon Area Preserving Map a set of initial conditions is iterated is stretched and then rotated at each iterative step. The behavior of the iteration within the domain -1 <x <1 and -1<y<1 domain is shown in the following quicktime movies. An analysis is written up in a pdf file--the figures are not included--. For a better analysis look at the original analysis by Henon himself in the Quarterly of Applied Mathematics.

Quicktime Movies

sin2-24 . line4 . line24 . line05 . circle24 . cos24

Mathematica Code

henon.m henon.nb