### Julia set of exponential function

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#### Laser Blaster

• Fractal Phenom
• Posts: 55

#### Re: Julia set of exponential function

« Reply #30 on: March 04, 2020, 01:28:57 PM »
and they use something called the Ishikawa iteration which I'm not familiar with.

Yeah I've seen this in papers and I don't really understand it. Usually they call the fractals generated with the Ishikawa iteration procedure "Relative superior" Julia and Mandelbrot sets.

This paper gives a formula for Ishikawa iteration:
https://www.researchgate.net/publication/258651092_A_Relative_Superior_Julia_Set_and_Relative_Superior_Tricorn_and_Multicorns_of_Fractals

It seems to depend on two sequences Sn and S'n that converge to zero (it's not clear what the exact values should be). I have no idea what the point of it is. No motivation for it is ever provided in any papers I've read.
« Last Edit: March 04, 2020, 01:40:56 PM by Laser Blaster »

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