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arXiv · 1208.1875

Dynamics of quasi-parabolic one-resonant biholomorphisms

Filippo Bracci·Feng Rong
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Abstract

In this paper we study the dynamics of germs of quasi-parabolic one-resonant biholomorphisms of $\C^{n+1}$ fixing the origin, namely, those germs whose differential at the origin has one eigenvalue 1 and the others having a one dimensional family of resonant relations. We define some invariants and give conditions which ensure the existence of attracting domains for such maps.

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Filippo Bracci, Feng Rong. 2012-08-09. Dynamics of quasi-parabolic one-resonant biholomorphisms. https://arxiv.org/abs/1208.1875

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