The Feigenbaum diagram

The Feigenbaum diagram plots the stable orbits of the logistic iteration map

, where

and

: Given any initial value

, the iterations of the map give the sequence

, where

for

. After an initial transient phase, for sufficiently large

and for suitable values of

the orbit stabilises: the applet shows for any value of

(on the abscissa axis) the values of

(on the ordinate axis).

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