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.
Bracci, F., Rong, F. (2014). Dynamics of quasi-parabolic one-resonant biholomorphisms. THE JOURNAL OF GEOMETRIC ANALYSIS, 24(3), 1497-1508 [10.1007/s12220-012-9382-5].
Dynamics of quasi-parabolic one-resonant biholomorphisms
BRACCI, FILIPPO;
2014-01-01
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.File in questo prodotto:
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