Research Article
A New Approach in Fractals Models
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 48 - Issue 23 |
| Published: June 2012 |
| Authors: Deepak Negi, Ashish Negi, Priti Dimri |
10.5120/7517-9070
|
Deepak Negi, Ashish Negi, Priti Dimri . A New Approach in Fractals Models. International Journal of Computer Applications. 48, 23 (June 2012), 1-6. DOI=10.5120/7517-9070
@article{ 10.5120/7517-9070,
author = { Deepak Negi,Ashish Negi,Priti Dimri },
title = { A New Approach in Fractals Models },
journal = { International Journal of Computer Applications },
year = { 2012 },
volume = { 48 },
number = { 23 },
pages = { 1-6 },
doi = { 10.5120/7517-9070 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2012
%A Deepak Negi
%A Ashish Negi
%A Priti Dimri
%T A New Approach in Fractals Models%T
%J International Journal of Computer Applications
%V 48
%N 23
%P 1-6
%R 10.5120/7517-9070
%I Foundation of Computer Science (FCS), NY, USA
Abstract
The term fractal was coined in 1975 by Benoit Mandelbrot, from the Latin fractus, meaning "broken" or "fractured". In colloquial usage, a fractal is a shape that is recursively constructed or self-similar, that is, a shape that appears similar at all scales of magnification and is therefore often referred to as "infinitely complex". Researchers used feedback systems to implement of a new iterative approach in the study of fractal models. The purpose of this paper is to present a review of literature in fractal analysis in recent years. In this review paper we have studied the work of various researchers in recent years on fractals models
References
- B. Branner, "The Mandelbrot Set", Proceedings of Symposia in Applied Mathematics39 (1989), 75-105.
- P. Blanchard, "Complex Analytic Dynamics on the Riemann Sphere", Bulletin of the American Mathematical Society 11, 1 (1984), 85-141.
- P. Blanchard, "Complex Analytic Dynamics on the Riemann Sphere", Bulletin of the American Mathematical Society 11, 1 (1984), 85-141.
- S. Dhurandar, V. C. Bhavsar and U. G. Gujar, "Analysis of z-plane fractal images from for", Computers and Graphics 17, 1 (1993), 89-94.
- U. G. Gujar and V. C. Bhavsar, "Fractals from in the Complex c-Plane", Computers and Graphics 15, 3 (1991), 441-449.
- U. G. Gujar, V. C. Bhavsar and N. Vangala, "Fractals from in the Complex z-Plane", Computers and Graphics 16, 1 (1992), 45-49.
- E. F. Glynn, "The Evolution of the Gingerbread Mann", Computers and Graphics 15,4 (1991), 579-582.
- S. Ishikawa, "Fixed points by a new iteration method", Proc. Amer. Math. Soc. 44 (1974), 147-150.
- G. Julia, "Sur 1' iteration des functions rationnelles", J Math Pure Appli. 8 (1918), 737-747.
- K. W. Shirriff, "An investigation of fractals generated by ", Computers and Graphics 13, 4 (1993), 603-607.
- B. B. Mandelbrot, "The Fractal Geometry of Nature", W. H. Freeman, New York,1983.
- H. Peitgen and P. H. Richter, "The Beauty of Fractals", Springer-Verlag, Berlin,1986.
- Peitgen H, Jürgens H, Saupe D. Chaos and fractals: new frontiers of science. New York: Springer-Verlag; 2004.
- C. Pickover, "Computers, Pattern, Chaos, and Beauty", St. Martin's Press, NewYork, 1990.
- R. Rana, Y. S. Chauhan and A. Negi, Non Linear dynamics of Ishikawa Iteration, In Press, Int. Journal of Computer Application (Oct. 2010 Edition).
- S. T. Welstead and T. L. Cromer, "Coloring Periodicities of Two-dimensional Mappings", Computers and Graphics 13, 4 (1989), 539-543.
- R. Rana, Y. S. Chauhan and A. Negi, Complex dynamics of Ishikawa iterates for non Integer values, In Press, Int. Journal of Computer Application (Nov. 2010 Edition).
- R. Rana, Y. S. Chauhan and A. Negi, Inverse Complex Function Dynamics of Ishikawa Iterates, In Press, Int. Journal of Computer Application (Nov. 2010 Edition).
- R. Rana, Y. S. Chauhan and A. Negi, Non Linear Dynamics of Ishikawa iteration, In Press, Int. Journal of Computer Application (Nov. 2010 Edition).
- R. Rana, Y. S. Chauhan and A. Negi, New Julia Sets of Ishikawa iteration, In Press, Int. Journal of Computer Application (Oct. 2010 Edition).
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