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arxiv: 1211.3103 · v1 · pith:57P7GC4Lnew · submitted 2012-11-13 · 🧮 math.CV · math.DS

Dynamics of two-resonant biholomorphisms

classification 🧮 math.CV math.DS
keywords biholomorphismsgermspointattractionbasinsdifferentialdimensionaldynamics
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In this paper we study the existence of basins of attraction for germs of 2-resonant biholomorphisms of $\C^n$ fixing a point, that is germs such that the eigenvalues of the differential at the fixed point have a 2 dimensional family of resonances.

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