Henon Phase Diagrams

Written by Paul Bourke
January 1991

The Henon phase diagrams are illustration of the following series in 2 dimensions and with a single parameter "a". Each point on the plane (x₀,y₀) is used as the initial value of the series.

x_n+1 = x_n cos(a) - (y_n - x_n²) sin(a)
y_n+1 = x_n sin(a) + (y_n - x_n²) cos(a)

a = -10		a = 1.57
a = 2		a = 22
a = 1.2		a = 1.9
a = 2.2		a = 1.6