Mandelbrot Sets and Julia Sets in Picard-Mann Orbit
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 examp...
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IEEE
2020-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9051732/ |
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doaj-36eccc06266148eea96c2f892da413402021-03-30T01:37:46ZengIEEEIEEE Access2169-35362020-01-018644116442110.1109/ACCESS.2020.29846899051732Mandelbrot Sets and Julia Sets in Picard-Mann OrbitCui Zou0https://orcid.org/0000-0003-4921-7289Abdul Aziz Shahid1https://orcid.org/0000-0003-4012-8028Asifa Tassaddiq2https://orcid.org/0000-0002-6165-8055Arshad Khan3Maqbool Ahmad4https://orcid.org/0000-0001-8621-4541Big Data Institute, Qingdao Huanghai University, Qingdao, ChinaDepartment of Mathematics and Statistics, The University of Lahore, Lahore, PakistanCollege of Computer and Information Sciences, Majmaah University, Al Majma’ah, Saudi ArabiaInstitute of Business and Management Sciences, The University of Agriculture, Peshawar, PakistanDepartment of Mathematics and Statistics, The University of Lahore, Lahore, PakistanThe 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.https://ieeexplore.ieee.org/document/9051732/Julia setMandelbrot setPicard-Mann iterationescape criterion |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Cui Zou Abdul Aziz Shahid Asifa Tassaddiq Arshad Khan Maqbool Ahmad |
| spellingShingle |
Cui Zou Abdul Aziz Shahid Asifa Tassaddiq Arshad Khan Maqbool Ahmad Mandelbrot Sets and Julia Sets in Picard-Mann Orbit IEEE Access Julia set Mandelbrot set Picard-Mann iteration escape criterion |
| author_facet |
Cui Zou Abdul Aziz Shahid Asifa Tassaddiq Arshad Khan Maqbool Ahmad |
| author_sort |
Cui Zou |
| title |
Mandelbrot Sets and Julia Sets in Picard-Mann Orbit |
| title_short |
Mandelbrot Sets and Julia Sets in Picard-Mann Orbit |
| title_full |
Mandelbrot Sets and Julia Sets in Picard-Mann Orbit |
| title_fullStr |
Mandelbrot Sets and Julia Sets in Picard-Mann Orbit |
| title_full_unstemmed |
Mandelbrot Sets and Julia Sets in Picard-Mann Orbit |
| title_sort |
mandelbrot sets and julia sets in picard-mann orbit |
| publisher |
IEEE |
| series |
IEEE Access |
| issn |
2169-3536 |
| publishDate |
2020-01-01 |
| description |
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. |
| topic |
Julia set Mandelbrot set Picard-Mann iteration escape criterion |
| url |
https://ieeexplore.ieee.org/document/9051732/ |
| work_keys_str_mv |
AT cuizou mandelbrotsetsandjuliasetsinpicardmannorbit AT abdulazizshahid mandelbrotsetsandjuliasetsinpicardmannorbit AT asifatassaddiq mandelbrotsetsandjuliasetsinpicardmannorbit AT arshadkhan mandelbrotsetsandjuliasetsinpicardmannorbit AT maqboolahmad mandelbrotsetsandjuliasetsinpicardmannorbit |
| _version_ |
1724186642833473536 |