Complex and Inverse Complex Dynamics of Fractals using Ishikawa Iteration
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10.5120/5013-7335 |
Ashish Negi, Shashank Lingwal and Yashwant Singh Chauhan. Article: Complex and Inverse Complex Dynamics of Fractals using Ishikawa Iteration. International Journal of Computer Applications 40(12):1-9, February 2012. Full text available. BibTeX
@article{key:article,
author = {Ashish Negi and Shashank Lingwal and Yashwant Singh Chauhan},
title = {Article: Complex and Inverse Complex Dynamics of Fractals using Ishikawa Iteration},
journal = {International Journal of Computer Applications},
year = {2012},
volume = {40},
number = {12},
pages = {1-9},
month = {February},
note = {Full text available}
}
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.
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