Mandelbrot Sets and Julia Sets in Picard-Mann Orbit

被引：22
|
作者：
Zou, Cui [1 ]
Shahid, Abdul Aziz [2 ]
Tassaddiq, Asifa [3 ]
Khan, Arshad [4 ]
Ahmad, Maqbool [2 ]
机构：
[1] Qingdao Huanghai Univ, Big Data Inst, Qingdao 266427, Peoples R China
[2] Univ Lahore, Dept Math & Stat, Lahore 54000, Pakistan
[3] Majmaah Univ, Coll Comp & Informat Sci, Al Majmaah 11952, Saudi Arabia
[4] Univ Agr, Inst Business & Management Sci, Peshawar 25120, Pakistan
来源：
IEEE ACCESS | 2020年 / 8卷
关键词：
Julia set; Mandelbrot set; Picard-Mann iteration; escape criterion; ITERATION SCHEME;
D O I：
10.1109/ACCESS.2020.2984689
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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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页码：64411 / 64421
页数：11
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