On the Fibonacci complex dynamical systems
Dynamical Systems
2013-04-18 v1
Abstract
We consider in this paper a sequence of complex analytic functions constructed by the following procedure , where is a parameter. Our aim is to give a thorough dynamical study of this family, in particular we are able to extend the familiar notions of Julia sets and Green function and to analyze their properties. As a consequence, we extend some well-known results. Finally we study in detail the case where is small.
Keywords
Cite
@article{arxiv.1304.4864,
title = {On the Fibonacci complex dynamical systems},
author = {El Houcein El Abdalaoui and Sylvain Bonnot and Ali Messaoudi and Olivier Sester},
journal= {arXiv preprint arXiv:1304.4864},
year = {2013}
}
Comments
26 pages, 5 figures