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MANDELBROT SET, THE MESMERIZING FRACTAL WITH INTEGER DIMENSION
Journal: International Journal of Applied Mathematics & Statistical Sciences (IJAMSS) (Vol.6, No. 1)Publication Date: 2017-01-31
Authors : ARUN MAHANTA; HEMANTA KR. SARMAH; GAUTAM CHOUDHURY;
Page : 1-18
Keywords : Critical Orbit; Fixed Point; Iteration of a Map; Julia Set; Mandelbrot Set; Periodic Point; Schwarzian Derivative;
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Abstract
In this paper we have given a brief review of the Mandelbrot set, one of the best known icons of fractals which arises from the iteration of the complex polynomial of the form . We have discussed about the role of critical points in such a study with the help of Schwarzian derivative.
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Last modified: 2016-12-09 20:46:09