Research Article
Complex Dynamics of Pell Sequence
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 7 - Issue 1 |
| Published: September 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 },
year = { 2010 },
volume = { 7 },
number = { 1 },
pages = { 24-30 },
doi = { 10.5120/1130-1481 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2010
%A Rajeshri Rana
%A Yashwant S Chauhan
%A Ashish Negi
%T Complex Dynamics of Pell Sequence%T
%J International Journal of Computer Applications
%V 7
%N 1
%P 24-30
%R 10.5120/1130-1481
%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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