Invariant Nonrecurrent Fatou Components of Automorphisms of $C^2$
Complex Variables
2007-05-23 v1 Dynamical Systems
Abstract
We examine invariant nonrecurrent Fatou components of automorphisms of in the case where all limit maps are constant. We show that except in special cases there cannot be more than one such limit map. We also briefly examine such Fatou components where the limit maps may be nonconstant. Lastly we present a few examples of such Fatou components.
Cite
@article{arxiv.math/0309253,
title = {Invariant Nonrecurrent Fatou Components of Automorphisms of $C^2$},
author = {Daniel Jupiter and Krastio Lilov},
journal= {arXiv preprint arXiv:math/0309253},
year = {2007}
}