Perturbed Basins of Attraction
Complex Variables
2007-05-23 v1 Dynamical Systems
Abstract
Let F be an automorphism of C^k which has a fixed point. It is well known that the basin of attraction is biholomorphically equivalent to C^k. We will show that the basin of attraction of a sequence of automorphisms is also biholomorphic to C^k if all the automorphisms are small perturbations of the original map F.
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Cite
@article{arxiv.math/0411339,
title = {Perturbed Basins of Attraction},
author = {Han Peters},
journal= {arXiv preprint arXiv:math/0411339},
year = {2007}
}
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11 pages