On the dynamics of some diffeomorphisms of ℂ2 near parabolic fixed points

Dan Coman, Marius Dabija

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

In this paper we consider diffeomorphisms of ℂ2 of the special form F(z,w) = (w,-z + 2G(w)). For such maps the origin is a parabolic fixed point. Under certain hypotheses on G we prove the existence of a domain Ω ⊂ ℂ with 0 ∈ ∂Ω and of invariant complex curves w = f(z) and w = g(z), z ∈ Ω, for F-1 and F, such that F-n(z,f(z)) → 0 and Fn(z,g(z)) → 0 as n → ∞.

Original languageEnglish (US)
Pages (from-to)85-96
Number of pages12
JournalHouston Journal of Mathematics
Volume24
Issue number1
StatePublished - Dec 1 1998
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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