Parabolic curves in ℂ3

We discuss a family of holomorphic self-maps of ℂ3 tangent to the identity at the origin presenting dynamical phenomena not appearing for lower-dimensional maps.

Bibliographic Details
Main Authors: Marco Abate, Francesca Tovena
Format: Article
Language:English
Published: Hindawi Limited 2003-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S108533750320405X
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spelling doaj-09239877e9fd4cc794ba030dfbd613e62020-11-25T01:02:10ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092003-01-012003527529410.1155/S108533750320405XParabolic curves in ℂ3Marco Abate0Francesca Tovena1Dipartimento di Matematica, Università di Pisa, Via Buonarroti 2, Pisa 56127, ItalyDipartimento di Matematica, Università di Roma “Tor Vergata” Viadella Ricerca Scientifica, Roma 00133, ItalyWe discuss a family of holomorphic self-maps of ℂ3 tangent to the identity at the origin presenting dynamical phenomena not appearing for lower-dimensional maps.http://dx.doi.org/10.1155/S108533750320405X
collection DOAJ
language English
format Article
sources DOAJ
author Marco Abate
Francesca Tovena
spellingShingle Marco Abate
Francesca Tovena
Parabolic curves in ℂ3
Abstract and Applied Analysis
author_facet Marco Abate
Francesca Tovena
author_sort Marco Abate
title Parabolic curves in ℂ3
title_short Parabolic curves in ℂ3
title_full Parabolic curves in ℂ3
title_fullStr Parabolic curves in ℂ3
title_full_unstemmed Parabolic curves in ℂ3
title_sort parabolic curves in ℂ3
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2003-01-01
description We discuss a family of holomorphic self-maps of ℂ3 tangent to the identity at the origin presenting dynamical phenomena not appearing for lower-dimensional maps.
url http://dx.doi.org/10.1155/S108533750320405X
work_keys_str_mv AT marcoabate paraboliccurvesinc3
AT francescatovena paraboliccurvesinc3
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