Cubic polynomials with a parabolic point
Dynamical Systems
2007-12-21 v1
Abstract
We consider the family of cubic polynomials with a simple parabolic fixed point. We prove that the boundary of the immediate basin of attraction of the parabolic point is a Jordan curve and give a description of the dynamics.
Cite
@article{arxiv.0712.3372,
title = {Cubic polynomials with a parabolic point},
author = {Pascale Roesch},
journal= {arXiv preprint arXiv:0712.3372},
year = {2007}
}