A Four Step Feedback Iteration and Its Applications in Fractals

被引：10
|
作者：
Tassaddiq, Asifa [1 ]
Tanveer, Muhammad [2 ]
Azhar, Muhammad [3 ]
Nazeer, Waqas [3 ]
Qureshi, Sania [4 ,5 ]
机构：
[1] Majmaah Univ, Coll Comp & Informat Sci, Dept Basic Sci & Humanities, Al Majmaah 11952, Saudi Arabia
[2] Univ Agr Faisalabad, Dept Mathemt & Stat, Subcampus Depalpur, Faisalabad 38040, Pakistan
[3] Govt Coll Univ Lahore, Dept Mathemt, Lahore 54000, Pakistan
[4] Mehran Univ Engn & Technol, Dept Basic Sci & Related Studies, Jamshoro 76062, Pakistan
[5] Near East Univ TRCN, Dept Math, TR-99138 Mersin 10, Turkey
来源：
FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 11期
关键词：
imaging; complex function; Julia set; Mandelbrot set; multi-corn; FIXED-POINTS; JULIA SETS; MANDELBROT;
D O I：
10.3390/fractalfract6110662
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Fractals play a vital role in modeling the natural environment. The present aim is to investigate the escape criterion to generate specific fractals such as Julia sets, Mandelbrot sets and Multi-corns via F-iteration using complex functions h(z)=z(n)+c, h(z)=sin(z(n))+c and h(z)=e(zn)+c, n >= 2,c is an element of C. We observed some beautiful Julia sets, Mandelbrot sets and Multi-corns for n = 2, 3 and 4. We generalize the algorithms of the Julia set and Mandelbrot set to visualize some Julia sets, Mandelbrot sets and Multi-corns. Moreover, we calculate image generation time in seconds at different values of input parameters.
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页数：33
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