In computing time scales, the Henon Phase is an ancient strange attractor. A point is moved through two dimensional space based on the following transformational equations:
xn+1 = xn cos(a) – (yn – xn2) sin(a)
yn+1 = xn sin(a) + (yn – xn2) cos(a)
These images plot the phase space of the Henon system at arbitrary values of a.