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Some Structural and Dynamical Properties of Mandelbrot Set
Journal: International Journal of Applied Mathematics & Statistical Sciences (IJAMSS) (Vol.6, No. 3)Publication Date: 2017-04-25
Authors : Arun Mahanta; Hemanta Kr. Sarmah; Gautam Choudhury;
Page : 35-58
Keywords : Critical Point; Julia Set; Mandelbrot Set; Fixed Point; Periodic Point; Primary Bulb; Iteration of a Map; Rotation Number; Schwarzian Derivative;
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Abstract
In this paper, we have done few investigations on some dynamical as well as structural properties of the Mandelbrot set, which arises as a fractal from the iteration of the complex polynomial of the form z c 2 . We have also discussed about some amazing features shown by the periodic numbers and rotation numbers related to the primary bulbs of the Mandelbrot set.
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Last modified: 2017-06-13 19:30:58