The omega-limit sets of quadratic Julia sets
Dynamical Systems
2012-05-02 v1
Abstract
In this paper we characterize -limit sets of dendritic Julia sets for quadratic maps. We use Baldwin's symbolic representation of these spaces as a non-Hausdorff itinerary space and prove that quadratic maps with dendritic Julia sets have shadowing, and also that for all such maps, a closed invariant set is an -limit set of a point if, and only if, it is internally chain transitive.
Keywords
Cite
@article{arxiv.1205.0191,
title = {The omega-limit sets of quadratic Julia sets},
author = {Andrew Barwell and Brian Raines},
journal= {arXiv preprint arXiv:1205.0191},
year = {2012}
}
Comments
24 pages