Title: Julia-sets of rational polynoms and other complex functions Post by: SamTiba on December 10, 2016, 07:30:01 PM So I got into programming the Julia-Sets and built myself a small application for them.
Since the normal escape-settings only apply for polynoms I implemented rational polynoms (and soon other functions) via a projection to the riemann-sphere and then used the equicontinuity (convergenz of neighboured points) to decide if its a member of the Julia- or Fatou-family. My question to you now: I only know of this method (thanks to some random site I once found (but it's in german language elsewhise I would've shared it with you)) Do you know of any other method to computate the sets and would like to share them with me? Title: Re: Julia-sets of rational polynoms and other complex functions Post by: Adam Majewski on December 10, 2016, 08:54:44 PM https://en.wikibooks.org/wiki/Fractals/Rational
hth Title: Re: Julia-sets of rational polynoms and other complex functions Post by: SamTiba on December 10, 2016, 09:47:24 PM thanks for sharing this link with me, so this is the implementation of a method where you get the attractors and if they are superattracting or repelling, right? I don't quite see how I can computate Julia-Sets with that? |