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Dynamics of quasi-parabolic one-resonant biholomorphisms

By Filippo Bracci and Feng Rong

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.Comment: 11 pages; some misprints corrected, a better explaination on the number of disjoint basins of attraction give

Topics: Mathematics - Complex Variables, Mathematics - Dynamical Systems
Year: 2012
OAI identifier: oai:arXiv.org:1208.1875

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