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Complex Dynamics of Pell Sequence

by Rajeshri Rana, Yashwant S Chauhan, Ashish Negi
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 7 - Number 1
Year of Publication: 2010
Authors: Rajeshri Rana, Yashwant S Chauhan, Ashish Negi
10.5120/1130-1481

Rajeshri Rana, Yashwant S Chauhan, Ashish Negi . Complex Dynamics of Pell Sequence. International Journal of Computer Applications. 7, 1 ( September 2010), 24-30. DOI=10.5120/1130-1481

@article{ 10.5120/1130-1481,
author = { Rajeshri Rana, Yashwant S Chauhan, Ashish Negi },
title = { Complex Dynamics of Pell Sequence },
journal = { International Journal of Computer Applications },
issue_date = { September 2010 },
volume = { 7 },
number = { 1 },
month = { September },
year = { 2010 },
issn = { 0975-8887 },
pages = { 24-30 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume7/number1/1130-1481/ },
doi = { 10.5120/1130-1481 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T19:55:20.003228+05:30
%A Rajeshri Rana
%A Yashwant S Chauhan
%A Ashish Negi
%T Complex Dynamics of Pell Sequence
%J International Journal of Computer Applications
%@ 0975-8887
%V 7
%N 1
%P 24-30
%D 2010
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The Binet formula for Pell sequence is viewed as a function of complex variable. In this paper the study of attracting and repelling fixed points of Pell sequence is presented with the complex dynamics resulting in the escape time images. A study of orbits of the Binet type formula is presented in the paper. Besides this, a new class of Mandelbrot sets is also studied for the Mann-iterates.

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Index Terms

Computer Science
Information Sciences

Keywords

Complex dynamics Fibonacci sequence Pell sequence Binet formula Binet Type formula

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