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Complex and Inverse Complex Dynamics of Fractals using Ishikawa Iteration

by Ashish Negi, Shashank Lingwal, Yashwant Singh Chauhan
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 40 - Number 12
Year of Publication: 2012
Authors: Ashish Negi, Shashank Lingwal, Yashwant Singh Chauhan
10.5120/5013-7335

Ashish Negi, Shashank Lingwal, Yashwant Singh Chauhan . Complex and Inverse Complex Dynamics of Fractals using Ishikawa Iteration. International Journal of Computer Applications. 40, 12 ( February 2012), 1-9. DOI=10.5120/5013-7335

@article{ 10.5120/5013-7335,
author = { Ashish Negi, Shashank Lingwal, Yashwant Singh Chauhan },
title = { Complex and Inverse Complex Dynamics of Fractals using Ishikawa Iteration },
journal = { International Journal of Computer Applications },
issue_date = { February 2012 },
volume = { 40 },
number = { 12 },
month = { February },
year = { 2012 },
issn = { 0975-8887 },
pages = { 1-9 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume40/number12/5013-7335/ },
doi = { 10.5120/5013-7335 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:27:51.293931+05:30
%A Ashish Negi
%A Shashank Lingwal
%A Yashwant Singh Chauhan
%T Complex and Inverse Complex Dynamics of Fractals using Ishikawa Iteration
%J International Journal of Computer Applications
%@ 0975-8887
%V 40
%N 12
%P 1-9
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Complex graphics of dynamical system have been a subject of intense research nowadays. The fractal geometry is the base of these beautiful graphical images. Many researchers and authors have worked to study the complex nature of the two most popular sets in fractal geometry, the Julia set and the Mandelbrot set, and proposed their work in various forms using existing tools and techniques. Still researches are being conducted to study and reveal the new concepts unexplored in the complexities of these two most popular sets of fractal geometry. Recently, Ashish Negi, Rajeshri Rana and Yashwant S. Chauhan are among those researchers who have contributed a lot in the area of Fractal Geometry applications. In this paper we review the recently done work on complex and inverse complex functions for producing beautiful fractal graphics. The reviewed work mainly emphasizes on the study of the nature of complex and inverse complex functional dynamics using Ishikawa iterates and existence of relative superior Mandel-bar set.

References
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Index Terms

Computer Science
Information Sciences

Keywords

Fractals Complex dynamics Inverse Complex dynamics Relative Superior Mandelbrot Set Relative Superior Julia Set Ishikawa Iteration Relative Superior Mandel-bar Set.

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