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DOI: 10.14569/IJACSA.2012.030522
PDF

Dynamics of Mandelbrot set with Transcendental Function

Author 1: Shafali Agarwal
Author 2: Gunjan Srivastava
Author 3: Dr. Ashish Negi

International Journal of Advanced Computer Science and Applications(IJACSA), Volume 3 Issue 5, 2012.

  • Abstract and Keywords
  • How to Cite this Article
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Abstract: These days Mandelbrot set with transcendental function is an interesting area for mathematicians. New equations have been created for Mandelbrot set using trigonometric, logarithmic and exponential functions. Earlier, Ishikawa iteration has been applied to these equations and generate new fractals named as Relative Superior Mandelbrot Set with transcendental function. In this paper, the Mann iteration is being applied on Mandelbrot set with sine function i.e. sin(zn)+c and new fractals with the concept of Superior Transcendental Mandelbrot Set will be shown. Our goal is to focus on the less number of iterations which are required to obtain fixed point of function sin(zn)+c.

Keywords: Superior Transcendental Mandelbrot Set; Mann iteration; fixed point; Escape Criteria.

Shafali Agarwal, Gunjan Srivastava and Dr. Ashish Negi, “Dynamics of Mandelbrot set with Transcendental Function” International Journal of Advanced Computer Science and Applications(IJACSA), 3(5), 2012. http://dx.doi.org/10.14569/IJACSA.2012.030522

@article{Agarwal2012,
title = {Dynamics of Mandelbrot set with Transcendental Function},
journal = {International Journal of Advanced Computer Science and Applications},
doi = {10.14569/IJACSA.2012.030522},
url = {http://dx.doi.org/10.14569/IJACSA.2012.030522},
year = {2012},
publisher = {The Science and Information Organization},
volume = {3},
number = {5},
author = {Shafali Agarwal and Gunjan Srivastava and Dr. Ashish Negi}
}



Copyright Statement: This is an open access article licensed under a Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, even commercially as long as the original work is properly cited.

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