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Article:New Tricorn & Multicorns of Ishikawa Iterates
by
Yashwant S Chauhan,
Rajeshri Rana,
Ashish Negi
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 7 - Number 13 |
| Year of Publication: 2010 |
| Authors: Yashwant S Chauhan, Rajeshri Rana, Ashish Negi |
10.5120/1322-1676
|
Yashwant S Chauhan, Rajeshri Rana, Ashish Negi . Article:New Tricorn & Multicorns of Ishikawa Iterates. International Journal of Computer Applications. 7, 13 ( October 2010), 25-33. DOI=10.5120/1322-1676
@article{
10.5120/1322-1676,
author = {
Yashwant S Chauhan,
Rajeshri Rana,
Ashish Negi
},
title = { Article:New Tricorn & Multicorns of Ishikawa Iterates },
journal = {
International Journal of Computer Applications
},
issue_date = { October 2010 },
volume = { 7 },
number = { 13 },
month = { October },
year = { 2010 },
issn = { 0975-8887 },
pages = {
25-33
},
numpages = {9},
url = {
https://ijcaonline.org/archives/volume7/number13/1322-1676/
},
doi = { 10.5120/1322-1676 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T19:56:12.877242+05:30
%A Yashwant S Chauhan
%A Rajeshri Rana
%A Ashish Negi
%T Article:New Tricorn & Multicorns of Ishikawa Iterates
%J International Journal of Computer Applications
%@ 0975-8887
%V 7
%N 13
%P 25-33
%D 2010
%I Foundation of Computer Science (FCS), NY, USA
Abstract
We introduce in this paper the dynamics of Relative Superior Tricorn and Multicorns for Ishikawa iteration.
References
- W. D. Crowe, R. Hasson, P. J. Rippon, and P. E. D. Strain-Clark, “On the structure of the Mandelbar set”, Nonlinearity (2)(4)(1989), 541-553. MR1020441.
- Robert L. Devaney, “A First Course in Chaotic Dynamical Systems: Theory and Experiment”, Addison-Wesley, 1992. MR1202237.
- S. Ishikawa, “Fixed points by a new iteration method”, Proc. Amer. Math. Soc.44 (1974), 147-150.
- Manish Kumar, and Mamta Rani, “A new approach to superior Julia sets”, J. nature. Phys. Sci, 19(2), (2005), 148-155.
- Eike Lau and Dierk Schleicher, “Symmetries of fractals revisited.”, Math. Intelligencer (18)(1)(1996), 45-51. MR1381579 Zbl 0847.30018.
- J. Milnor, “Dynamics in one complex variable; Introductory lectures”, Vieweg (1999).
- Shizuo Nakane, and Dierk Schleicher, “Non-local connectivity of the tricorn and multicorns”, Dynamical systems and chaos (1) (Hachioji, 1994), 200-203, World Sci. Publ., River Edge, NJ, 1995. MR1479931.
- Shizuo Nakane, and Dierk Schleicher, “On multicorns and unicorns: I. Antiholomorphic dynamics. hyperbolic components and real cubic polynomials”, Internat. J. Bifur. Chaos Appl. Sci. Engrg, (13)(10)(2003), 2825-2844. MR2020986.
- Ashish Negi, “Generation of Fractals and Applications”, Thesis, Gurukul Kangri Vishwvidyalaya, (2005).
- M.O.Osilike, “Stability results for Ishikawa fixed point iteration procedure”, Indian Journal of Pure and Appl. Math., 26(1995), 937-945.
- M.O.Osilike, “Iterative construction of fixed points of multivalued operators of the accretive type”, Sochow J.Math. 22(1996), 85-92.
- Pitgen, Jurgens and Saupe, “Chaos and Fractals, Springer-Verlag”, NewYork, Inc., 1992.
- Mamta Rani, and Vinod Kumar, “Superior Mandelbrot sets”, J. Korea Soc. Math. Educ. Ser. D; Res. Math. Educ. (8)(4)(2004), 279-291.
- B. E. Rhoades, “Fixed point iterations for certain nonlinear mappings”, J. Math. Anal. 183 (1994), 118-120.
- K. Shirriff, “Fractals from Simple Polynomial Composite Functions,'' Computers & Graphics, 17(6), Nov. 1993, pp 701-703.
- R. Winters, “Bifurcations in families of Antiholomorphic and biquadratic maps”, Thesis, Boston Univ. (1990).
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