Julia Set [0-0.8i]

A Julia set is defined as the border set between convergent and non-convergent domains of an iterative sequence. About this border small perturbations cause dramatic, even chaotic changes in the dynamic of the sequence. It is named after Gaston Julia who investigated the dynamics of some rational functions. [¹].

The Julia set bellow represents the convergence set of the sequence \begin{align} \begin{split} z_{n+1} = z_n^2 - 0.8i \end{split} \end{align}

To zoom into the set click and drag to select a rectangle. At any point you can return to the initial view with right click of the mouse.

References