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Fractal Generation in Modified Jungck–S Orbit
- Source :
- IEEE Access. 7:35060-35071
- Publication Year :
- 2019
- Publisher :
- Institute of Electrical and Electronics Engineers (IEEE), 2019.
-
Abstract
- The aim of this paper is to modify the Jungck-S iterative scheme by adding the idea of $s$ -convexity. We define and analyze the modified Jungck-S orbit (MJSO) with $s$ -convex combination and derive the escape criterion for MJSO. Moreover, we establish the algorithms to visualize some Julia sets, Mandelbrot sets, and biomorphs in this orbit. In the biomorph generation algorithm, we did not fix the threshold radius of proposed orbit (i.e., MJSO) as fixed in literature earlier. We also discuss the graphical behavior of some complex polynomials in the generation of Julia sets, Mandelbrot sets, and biomorphs in MJSO.
- Subjects :
- Mathematics::Dynamical Systems
General Computer Science
010102 general mathematics
General Engineering
02 engineering and technology
Mandelbrot set
01 natural sciences
Julia set
Fractal
Scheme (mathematics)
0202 electrical engineering, electronic engineering, information engineering
Applied mathematics
020201 artificial intelligence & image processing
General Materials Science
Convex combination
0101 mathematics
Orbit (control theory)
Complex quadratic polynomial
Subjects
Details
- ISSN :
- 21693536
- Volume :
- 7
- Database :
- OpenAIRE
- Journal :
- IEEE Access
- Accession number :
- edsair.doi...........e649dc17f70d93e94ff3e84b974c23de