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Mandelbrot Sets and Julia Sets in Picard-Mann Orbit
- Source :
- IEEE Access, Vol 8, Pp 64411-64421 (2020)
- Publication Year :
- 2020
- Publisher :
- IEEE, 2020.
-
Abstract
- 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.
- Subjects :
- Pure mathematics
Mathematics::Dynamical Systems
General Computer Science
General Engineering
Julia set
020207 software engineering
02 engineering and technology
Mandelbrot set
escape criterion
01 natural sciences
010305 fluids & plasmas
Fractal
Computer Science::Graphics
0103 physical sciences
0202 electrical engineering, electronic engineering, information engineering
General Materials Science
lcsh:Electrical engineering. Electronics. Nuclear engineering
Orbit (control theory)
Picard-Mann iteration
lcsh:TK1-9971
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 21693536
- Volume :
- 8
- Database :
- OpenAIRE
- Journal :
- IEEE Access
- Accession number :
- edsair.doi.dedup.....1f7f664c4efbae40df9a723faa71c4d2