Summable formal invariant curves of diffeomorphisms-Reference-Cited by-同舟云学术

Summable formal invariant curves of diffeomorphisms

Published:2011-03-14 Issue:1 Volume:32 Page:211-221
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

LÓPEZ-HERNANZ L.

Abstract

AbstractLet F be a tangent to the identity diffeomorphism in (ℂ2,0) and X its infinitesimal generator. We prove that Camacho and Sad’s formal invariant curves of X give summable formal power series, whose sums correspond to the parabolic curves found by Hakim for F and F−1.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

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