# Attracting domains for semi-attractive transformations of Cp.

Publicacions Matemàtiques (1994)

- Volume: 38, Issue: 2, page 479-499
- ISSN: 0214-1493

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topHakim, Monique. "Attracting domains for semi-attractive transformations of Cp.." Publicacions Matemàtiques 38.2 (1994): 479-499. <http://eudml.org/doc/41174>.

@article{Hakim1994,

abstract = {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).},

author = {Hakim, Monique},

journal = {Publicacions Matemàtiques},

keywords = {Germen analítico; Sustitución isomórfica; Dominio de atracción; Transformación; semi-attractive transformations; domain of attraction},

language = {eng},

number = {2},

pages = {479-499},

title = {Attracting domains for semi-attractive transformations of Cp.},

url = {http://eudml.org/doc/41174},

volume = {38},

year = {1994},

}

TY - JOUR

AU - Hakim, Monique

TI - Attracting domains for semi-attractive transformations of Cp.

JO - Publicacions Matemàtiques

PY - 1994

VL - 38

IS - 2

SP - 479

EP - 499

AB - 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).

LA - eng

KW - Germen analítico; Sustitución isomórfica; Dominio de atracción; Transformación; semi-attractive transformations; domain of attraction

UR - http://eudml.org/doc/41174

ER -

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