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On the Convergence of Logistic Map in NOOR Orbit

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International Journal of Computer Applications
© 2012 by IJCA Journal
Volume 43 - Number 18
Year of Publication: 2012
Authors:
Renu Chugh
Mamta Rani
Ashish
10.5120/6200-8739

Renu Chugh, Mamta Rani and Ashish. Article: On the Convergence of Logistic Map in NOOR Orbit. International Journal of Computer Applications 43(18):1-4, April 2012. Full text available. BibTeX

@article{key:article,
	author = {Renu Chugh and Mamta Rani and Ashish},
	title = {Article: On the Convergence of Logistic Map in NOOR Orbit},
	journal = {International Journal of Computer Applications},
	year = {2012},
	volume = {43},
	number = {18},
	pages = {1-4},
	month = {April},
	note = {Full text available}
}

Abstract

The logistic map rx(1?x) was given by the Belgian mathematician Pierre Francois Verhulst around 1845 and worked as basic model to study the discrete dynamical system. The behavior of logistic map has been already studied in orbits of one-step, two-step and three-step iterative procedures and it has been established that the logistic map is convergent for larger values of 'r' for two-step and three-step iteration methods. In this paper, an attempt have been made to study the convergence of logistic map in Noor orbit, which is a four-step iterative procedure.

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