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Mandelbrot Sets and Julia Sets in Picard-Mann Orbit
Journal article   Open access  Peer reviewed

Mandelbrot Sets and Julia Sets in Picard-Mann Orbit

Cui Zou, Abdul Aziz Shahid, Asifa Tassaddiq, Arshad Khan and Maqbool Ahmad
IEEE access, Vol.8, pp.64411-64421
2020

Abstract

Color escape criterion Fractals Julia set Mandelbrot set Object recognition Orbits Picard-Mann iteration Software algorithms Visualization
The purpose of this paper is to introduce the Mandelbrot and Julia sets by using Picard-Mann iteration procedure. Escape criteria is established which plays an important role to generate Mandelbrot and Julia sets. Also, numerous graphical pictures of these sets have been visualized and certain examples have been recognized. Presented results shows that fractal images generated by Picard-Mann iteration procedure are entirely different from those generated in Mann orbit.
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https://doi.org/10.1109/ACCESS.2020.2984689View
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