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.

xn+1 = xn cos(a) - (yn - xn2) sin(a)
yn+1 = xn sin(a) + (yn - xn2) cos(a)



a = -10
 
a = 1.57

a = 2
 
a = 22

a = 1.2
 
a = 1.9

a = 2.2
 
a = 1.6