We apologize for a recent technical issue with our email system, which temporarily affected account activations. Accounts have now been activated. Authors may proceed with paper submissions. PhDFocusTM
CFP last date
20 December 2024
Call for Paper
January Edition
IJCA solicits high quality original research papers for the upcoming January edition of the journal. The last date of research paper submission is 20 December 2024

Submit your paper
Know more
The week's pick
Responsive image
Improved Shuffled Frog Leaping Algorithm with Self-Adaptive Shuffling for Fuzzy Logic PD+G Controller Optimization in Robotic Manipulators

Duc Hoang Nguyen
Random Articles
Reseach Article

Superior Multibrots for Multicorns for Positive Values

by Sunil Shukla, Ashish Negi, Priti Dimri
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 65 - Number 4
Year of Publication: 2013
Authors: Sunil Shukla, Ashish Negi, Priti Dimri
10.5120/10914-5848

Sunil Shukla, Ashish Negi, Priti Dimri . Superior Multibrots for Multicorns for Positive Values. International Journal of Computer Applications. 65, 4 ( March 2013), 23-27. DOI=10.5120/10914-5848

@article{ 10.5120/10914-5848,
author = { Sunil Shukla, Ashish Negi, Priti Dimri },
title = { Superior Multibrots for Multicorns for Positive Values },
journal = { International Journal of Computer Applications },
issue_date = { March 2013 },
volume = { 65 },
number = { 4 },
month = { March },
year = { 2013 },
issn = { 0975-8887 },
pages = { 23-27 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume65/number4/10914-5848/ },
doi = { 10.5120/10914-5848 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:17:47.555892+05:30
%A Sunil Shukla
%A Ashish Negi
%A Priti Dimri
%T Superior Multibrots for Multicorns for Positive Values
%J International Journal of Computer Applications
%@ 0975-8887
%V 65
%N 4
%P 23-27
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The Multibrots for Multicorns is a modification of the classic Mandelbrot and Julia sets and it is given by the complex function where and is a constant. The Multibrot fractal type is particularly interesting, with beautiful shapes and lots of spirals. In this paper we have presented different characteristics of Multibrot function for Multicorns using superior iterates. Further, different properties like trajectories, fixed point, its complex dynamics and its behaviour towards Julia set are also discussed in the paper.

References
  1. Barcellos, A. and Barnsley, Michael F. , Reviews: Fractals Everywhere. Amer. Math. Monthly , No. 3, pp. 266-268, 1990.
  2. Barnsley, Michael F. , Fractals Everywhere. Academic Press, INC, New York, 1993.
  3. Edgar, Gerald A. , Classics on Fractals. Westview Press, 2004.
  4. Falconer, K. , Techniques in fractal geometry. John Wiley & Sons, England, 1997.
  5. Julia, G. , Sur 1' iteration des functions rationnelles. J Math Pure Appl. pp. 47-245.
  6. Kumar, Manish. and Rani, Mamta. , A new approach to superior Julia sets. J. nature. Phys. Sci, pp. 148-155, 2005.
  7. Negi, A. , Fractal Generation and Applications, Ph. D Thesis, Department of Mathematics, Gurukula Kangri Vishwavidyalaya, Hardwar, 2006.
  8. Orsucci, Franco F. and Sala, N. , Chaos and Complexity Research Compendium. Nova Science Publishers, Inc. , New York, 2011.
  9. Peitgen, H. O. , Jurgens, H. and Saupe, D. , Chaos and Fractals. New frontiers of science, 1992.
  10. Peitgen, H. O. , Jurgens, H. and Saupe, D. , Chaos and Fractals: New Frontiers of Science. Springer-Verlag, New York, Inc, 2004.
  11. Rani, M. , Iterative Procedures in Fractal and Chaos. Ph. D Thesis, Department of Computer Science. Gurukula Kangri Vishwavidyalaya, Hardwar, 2002.
Index Terms

Computer Science
Information Sciences

Keywords

Superior Multibrot Tricon and Multicorns

Powered by PhDFocusTM