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Perturbed Basins of Attraction

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Abstract

Let F be an automorphism of which has an attracting fixed point. It is well known that the basin of attraction is biholomorphically equivalent to . We will show that the basin of attraction of a sequence of automorphisms f 1, f 2, . . . is also biholomorphic to if every f n is a small perturbation of the original map F.

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Correspondence to Han Peters.

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Peters, H. Perturbed Basins of Attraction. Math. Ann. 337, 1–13 (2007). https://doi.org/10.1007/s00208-005-0739-y

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  • DOI: https://doi.org/10.1007/s00208-005-0739-y

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