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A New Approach in Fractals Models

by Deepak Negi, Ashish Negi, Priti Dimri
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 48 - Number 23
Year of Publication: 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 },
issue_date = { June 2012 },
volume = { 48 },
number = { 23 },
month = { June },
year = { 2012 },
issn = { 0975-8887 },
pages = { 1-6 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume48/number23/7517-9070/ },
doi = { 10.5120/7517-9070 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:44:49.202780+05:30
%A Deepak Negi
%A Ashish Negi
%A Priti Dimri
%T A New Approach in Fractals Models
%J International Journal of Computer Applications
%@ 0975-8887
%V 48
%N 23
%P 1-6
%D 2012
%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
  1. B. Branner, "The Mandelbrot Set", Proceedings of Symposia in Applied Mathematics39 (1989), 75-105.
  2. P. Blanchard, "Complex Analytic Dynamics on the Riemann Sphere", Bulletin of the American Mathematical Society 11, 1 (1984), 85-141.
  3. P. Blanchard, "Complex Analytic Dynamics on the Riemann Sphere", Bulletin of the American Mathematical Society 11, 1 (1984), 85-141.
  4. 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.
  5. U. G. Gujar and V. C. Bhavsar, "Fractals from in the Complex c-Plane", Computers and Graphics 15, 3 (1991), 441-449.
  6. U. G. Gujar, V. C. Bhavsar and N. Vangala, "Fractals from in the Complex z-Plane", Computers and Graphics 16, 1 (1992), 45-49.
  7. E. F. Glynn, "The Evolution of the Gingerbread Mann", Computers and Graphics 15,4 (1991), 579-582.
  8. S. Ishikawa, "Fixed points by a new iteration method", Proc. Amer. Math. Soc. 44 (1974), 147-150.
  9. G. Julia, "Sur 1' iteration des functions rationnelles", J Math Pure Appli. 8 (1918), 737-747.
  10. K. W. Shirriff, "An investigation of fractals generated by ", Computers and Graphics 13, 4 (1993), 603-607.
  11. B. B. Mandelbrot, "The Fractal Geometry of Nature", W. H. Freeman, New York,1983.
  12. H. Peitgen and P. H. Richter, "The Beauty of Fractals", Springer-Verlag, Berlin,1986.
  13. Peitgen H, Jürgens H, Saupe D. Chaos and fractals: new frontiers of science. New York: Springer-Verlag; 2004.
  14. C. Pickover, "Computers, Pattern, Chaos, and Beauty", St. Martin's Press, NewYork, 1990.
  15. R. Rana, Y. S. Chauhan and A. Negi, Non Linear dynamics of Ishikawa Iteration, In Press, Int. Journal of Computer Application (Oct. 2010 Edition).
  16. S. T. Welstead and T. L. Cromer, "Coloring Periodicities of Two-dimensional Mappings", Computers and Graphics 13, 4 (1989), 539-543.
  17. 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).
  18. 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).
  19. R. Rana, Y. S. Chauhan and A. Negi, Non Linear Dynamics of Ishikawa iteration, In Press, Int. Journal of Computer Application (Nov. 2010 Edition).
  20. R. Rana, Y. S. Chauhan and A. Negi, New Julia Sets of Ishikawa iteration, In Press, Int. Journal of Computer Application (Oct. 2010 Edition).
Index Terms

Computer Science
Information Sciences

Keywords

Complex Dynamics Relative Superior Julia Set Ishikawa Iteration Relative Superior Mandelbrot Set Relative Superior Tricorn And Relative Superior Multicorns