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Author Topic: Julia-sets of rational polynoms and other complex functions  (Read 4465 times)
Description: computation of the Julia- and Fatou-sets of every knowable function
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SamTiba
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« 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?
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Adam Majewski
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WWW
« Reply #1 on: December 10, 2016, 08:54:44 PM »

https://en.wikibooks.org/wiki/Fractals/Rational
hth
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SamTiba
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« Reply #2 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?
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