Perturbed Basins of Attraction

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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.
11 pages

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Complex Variables, Dynamical Systems, 32H50, 32H02

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http://salesiana.dossiersoluciones.com/handle/123456789/73244

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411339
 http://arxiv.org/abs/math/0411339

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arXiv