Discrete Dynamics in Nature and Society
Volume 2006 (2006), Article ID 28756, 16 pages

Fractal Newton basins

M. L. Sahari1 and I. Djellit2

1Centre Universitaire d'El-Tarf, El Tarf 36000, Algeria
2Department of Mathematics, University of Annaba, BP 12, Annaba 23000, Algeria

Received 3 June 2005; Accepted 14 August 2005

Copyright © 2006 M. L. Sahari and I. Djellit. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The dynamics of complex cubic polynomials have been studied extensively in the recent years. The main interest in this work is to focus on the Julia sets in the dynamical plane, and then is consecrated to the study of several topics in more detail. Newton's method is considered since it is the main tool for finding solutions to equations, which leads to some fantastic images when it is applied to complex functions and gives rise to a chaotic sequence.