Attracting domains for semi-attractive transformations of Cp.

Título inglés Attracting domains for semi-attractive transformations of Cp.
Título español Dominios atractores para transformaciones semiatractivas de Cp.
Autor/es Hakim, Monique
Organización Dep. Math. Unit. Assoc. CNRS Univ. Paris Sud, París, Francia
Revista 0214-1493
Publicación 1994, 38 (2): 479-499, 5 Ref.
Tipo de documento articulo
Idioma Inglés
Resumen inglés Let F be a germ of analytic transformation of (Cp, 0). We say that F is semi-attractive at the origin, if F'(0) has one eigenvalue equal to 1 and if the other ones are of modulus strictly less than 1. The main result is: either there exists a curve of fixed points, or F - Id has multiplicity k and there exists a domain of attraction with k - 1 petals. We also study the case where F is a global isomorphism of C2 and F - Id has multiplicity k at the origin. This work has been inspired by two papers: one of P. Fatou (1924) and the other one of T. Ueda (1986).
Clasificación UNESCO 120211
Palabras clave español Germen analítico ; Sustitución isomórfica ; Dominio de atracción ; Transformación
Código MathReviews MR1316642
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