The purpose of this movie is to see the evolution of the period five
islands in the H\'enon conservative map, from a parameter value close
to the birth of the islands, near the central elliptic point, to a
parameter value after the destruction of these islands.

The version of the H\'enon map used here is

(x,y) --> (X,Y), Y=y+c(1-(x+y)^2)/2, X=x+y+Y,

where c is the current parameter of the map.

To see movie1 you must do

1) to compile the program movie1.f
   for instance, if you are using linux you can compile it by typing
   gfortran -funroll-loops -ffast-math -O2 -Wall movie1.f -o movie1.xxx

2) then, if you start by typing ./movie1.xxx the program reads the
   precomputed data in data1.pre, makes some iterations of the map with
   several initial points, all of them located on the x axis and plots
   the results.

   To this end it invokes automatically gnuplot with the command file
   movie1.gnu. In this file there are some definitions of size and
   location of the window. It is possible to change them by editing the
   movie1.gnu file. Also note that the files to be plotted can be not
   so small (20 o more Mb). It can take a few seconds to compute and
   display each figure, depending on the computer.

   On the window where you started the program it displays the value
   used for the parameter of the map, the number of initial data for
   which the orbit is detected to be regular and the number of initial
   data for which the orbit is detected to be chaotic.

   Points in regular orbits are plotted in red while points in chaotic
   orbits are plotted in green.

3) after each plot, return to the window where you started the program
   and press return to proceed to the new parameter value. At the end of
   the plots it gives also, in seconds, the total time spent in the
   computations. All the intermediate files are erased at the end.

Enjoy the evolution of the islands!