Bifurcation Diagram of the Hénon Map
Bifurcation Diagram of the Hénon Map
The Hénon map is the two-dimensional map described by the equations
x
k+1
x
k
x
k
y
k
y
k+1
x
k
The plot shows the last 36 coordinates after iterations of the Hénon map using the initial point .
x
n
(-0.1,0.0)
To obtain an interesting region of periodic and chaotic behavior, we use values between 0.91 and 1.41 with . Changing these values will give very similar results.
m
α
β=0.3035
You can click anywhere in the diagram to see a magnified inset in the lower-left corner.