A Four Step Feedback Iteration and Its Applications in Fractals

被引：12

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.

引用

页数：33

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