Complex Dynamics of Pell Sequence

Complex Dynamics of Pell Sequence

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 t...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:International journal of computer applications 2010-09, Vol.7 (1), p.24-30
Hauptverfasser: Rana, Rajeshri, Chauhan, Yashwant S, Negi, Ashish
Format: Artikel
Sprache:eng
Schlagworte:
Complex variables
Dynamic tests
Dynamics
Mathematical analysis
Mathematical models
Orbits
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:0975-8887
0975-8887
DOI:10.5120/1130-1481