You
see iterations of f oN(x) = f(f(...f(x)))
for N = 2 below
Controls: Click mouse to zoom in 2 times. Click mouse with
Ctrl
to zoom out. Hold Shift key to zoom in the R
(vertical) direction only. Max number of iterations = 4000.
See
coordinates of the image center and Δx,
ΔR in the text field. The vertical line goes through x = 1/2
(see
Bifurcation diagram for quadratic maps for
more detailes).
Chaotic region zoom of the
map
You can test that the map is chaotic
for R < 0 too.