Cycles and Julia Sets: Novel Algorithms for Numerical... | Víctor Álvarez Aparicio | JuliaCon 2022

We present a new collection of algorithms dedicated to compute the basins of attraction of any complex rational map. This is a relevant matter in Holomorphic Dynamics, and also a way to visualize and study amazing fractal objects like Julia Sets. These algorithms solve many computational problems that often arise in Numerical Analysis, like overflows or mathematical indeterminations, and provide more information about the dynamics of the system than traditional algorithms generally do.

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[ton]

Estupendo Víctor. Es un buen algoritmo para visualizar cuencas.

[sapannayak]

Sir, very nice explanation, really this code is very helpful to me. But there is a little doubt that, how do we generalize this fractal graph to bivariate Newton method in Jullia language?