Boundaries of Filled Julia Sets in Generalized Jungck Mann Orbit

被引：27
|
作者：
Li, Dong [1 ]
Tanveer, Muhammad [2 ]
Nazeer, Waqas [3 ]
Guo, Xiaorui [4 ]
机构：
[1] Zhengzhou Railway Vocat & Tech Coll, Zhengzhou 451460, Henan, Peoples R China
[2] Univ Lahore, Dept Math & Stat, Lahore 54000, Pakistan
[3] Univ Educ, Div Sci & Technol, Lahore 54000, Pakistan
[4] Zhengzhou Univ Light Ind, Zhengzhou 450002, Henan, Peoples R China
来源：
IEEE ACCESS | 2019年 / 7卷
关键词：
Jungck-Mann iteration; filled Julia set; boundary of Julia set;
D O I：
10.1109/ACCESS.2019.2920026
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we study the generalized Jungck Mann orbit (GJMO) and prove the converse theorem of results. We develop algorithms for the generation of filled Julia sets and their boundaries in the GJMO. In simple Julia set (i.e., boundary of filled Julia set), we show the internal structure of Julia set and establish the correspondence between Julia points via dark blue lines in graphs. Moreover, we demonstrate the pictorial effects of filled Julia set and its boundary and graphically present the image change with the change of complex parameter c in the GJMO.
引用
收藏
页码：76859 / 76867
页数：9
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