Mandelbrot Sets and Julia Sets in Picard-Mann Orbit

Cui Zou; Abdul Aziz Shahid; Asifa Tassaddiq; Arshad Khan; Maqbool Ahmad

doi:10.1109/ACCESS.2020.2984689

IEEE Access (Jan 2020)

Mandelbrot Sets and Julia Sets in Picard-Mann Orbit

Cui Zou,
Abdul Aziz Shahid,
Asifa Tassaddiq,
Arshad Khan,
Maqbool Ahmad

Affiliations

Cui Zou: ORCiD; Big Data Institute, Qingdao Huanghai University, Qingdao, China
Abdul Aziz Shahid: ORCiD; Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan
Asifa Tassaddiq: ORCiD; College of Computer and Information Sciences, Majmaah University, Al Majma’ah, Saudi Arabia
Arshad Khan: Institute of Business and Management Sciences, The University of Agriculture, Peshawar, Pakistan
Maqbool Ahmad: ORCiD; Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan

DOI: https://doi.org/10.1109/ACCESS.2020.2984689
Journal volume & issue: Vol. 8
pp. 64411 – 64421

Abstract

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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.

Published in IEEE Access

ISSN: 2169-3536 (Online)
Publisher: IEEE
Country of publisher: United States
LCC subjects: Technology: Electrical engineering. Electronics. Nuclear engineering
Website: https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6287639

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