Iterations in the complex plane: the computation of a Julia set [Itérations dans le plan complexe: le calcul d'un ensemble de Julia].




When computing a Julia set in the complex plane, one iterates the following computation: 
                    Z  = C
                     0

                            2
                    Z    = Z  + A
                     n+1    n
where 'C' denotes the current point and A=(-0.13,+0.77) for this "Douady rabbit".

Then there are two cases: Z(n+1) stays in the vicinity of the origin (then C belongs to the Julia set -black domain-) or Z(n+1) goes to the infinity (then C does not belong to the Julia set).

This picture displays the trajectories of "current points" C located on a regular 2x2 grid and displayed as big disks.


(CMAP28 WWW site: this page was created on 03/18/2019 and last updated on 03/18/2019 15:05:23 -CET-)



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Copyright (c) Jean-François Colonna, 2019.
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