Abstract and Applied Analysis
Volume 2003 (2003), Issue 5, Pages 275-294
doi:10.1155/S108533750320405X

Parabolic curves in 3

Marco Abate1 and Francesca Tovena2

1Dipartimento di Matematica, Università di Pisa, Via Buonarroti 2, Pisa 56127, Italy
2Dipartimento di Matematica, Università di Roma “Tor Vergata” Viadella Ricerca Scientifica, Roma 00133, Italy

Abstract

We discuss a family of holomorphic self-maps of 3 tangent to the identity at the origin presenting dynamical phenomena not appearing for lower-dimensional maps.