The Standard Map Used

x(n+1)=x(n)+y(n) mod(1), y(n+1)=y(n)+ K* Sin(2*pi*x(n+1)) mod(1)

Enter a values of K (start with 0 and work your way up to 1. The Last KAM breaks at around K=1/(2*Pi), so a lot of action happens even less that about 0.16. After entering a K value, click a colour to choose it and then click anywhere on the phase space to fix the initial point, then click on "draw" to find out what happens if that were the initial condition. You may pick different colours to plot different trajectories.