Call for Paper - May 2023 Edition
IJCA solicits original research papers for the May 2023 Edition. Last date of manuscript submission is April 20, 2023. Read More

The Generalized Mandelbrot–Julia Set Form a Class of Complex Cosine Map

Print
PDF
 
Download Full Text
International Journal of Computer Applications
© 2014 by IJCA Journal
Volume 96 - Number 15
Year of Publication: 2014
Authors:
Poonam Negi
Yashwant S. Chauhan
Priti Dimri
10.5120/16867-6761

Poonam Negi, Yashwant S Chauhan and Priti Dimri. Article: The Generalized Mandelbrot–Julia Set Form a Class of Complex Cosine Map. International Journal of Computer Applications 96(15):1-8, June 2014. Full text available. BibTeX

@article{key:article,
	author = {Poonam Negi and Yashwant S. Chauhan and Priti Dimri},
	title = {Article: The Generalized Mandelbrot–Julia Set Form a Class of Complex Cosine Map},
	journal = {International Journal of Computer Applications},
	year = {2014},
	volume = {96},
	number = {15},
	pages = {1-8},
	month = {June},
	note = {Full text available}
}

Abstract

The dynamics of transcendental function is one of emerging and interesting field of research nowadays. In this paper we have constructed a series of generalized Mandelbrot and Julia set from cosine function using Agarwal iteration.

References

  • Agarwal, R. P. , O'Regan, D. and Sahu, D. R. : Iterative construction of fixed points of nearly symptotically nonexpansive mappings, Journal of Nonlinear and Convex Analysis 8(1) (2007), 61-79.
  • Barnsley, Michael F. , Fractals Everywhere. Academic Press, INC, New York, 1993.
  • E. F. Glynn, "The Evolution of the Gingerbread Mann", Computers and Graphics 15,4 (1991), 579 -582.
  • U. G. Gujar and V. C. Bhavsar, "Fractals from in the Complex c-Plane", Computers and Graphics 15, (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.
  • Kumar, Manish. and Rani, Mamta. , A new approach to superior Julia sets. J. nature. Phys. Sci, pp. 148-155, 2005.
  • Mandelbrot B. B. , "The Fractal Geometry of Nature, W. H. Freeman", New York. ISBN 0-7167-1186-9.
  • Peitgen, H. O. , Jurgens, H. and Saupe, D. , Chaos and Fractals. New frontiers of science, 1992.
  • Peitgen, H. O. , Jurgens, H. and Saupe, D. , Chaos and Fractals: New Frontiers of Science. Springer-Verlag, New York, Inc, 2004.
  • Robert L. Devaney, "A First Course in Chaotic Dynamical Systems: Theory and Experiment", Addison-Wesley, 1992. MR1202237.