Mandelbrot Sets and Julia Sets in Picard-Mann Orbit
Cui Zou, Abdul Aziz Shahid, Asifa Tassaddiq, Arshad Khan, Maqbool Ahmad
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.
Topics & Concepts
Mandelbrot setJulia setNewton fractalFractalMathematicsOrbit (dynamics)AlgorithmPure mathematicsMathematical analysisIterative methodEngineeringLocal convergenceAerospace engineeringMathematical Dynamics and FractalsMorphological variations and asymmetryAdvanced Mathematical Theories and Applications