Degenerate characteristic directions for maps tangent to the Identity
Complex Variables
2011-12-12 v2 Dynamical Systems
Abstract
Let F be a germ of (C^2,O) tangent to the identity. Assume F has a characteristic direction [v]. In [Hak] Hakim gives conditions to guarantee the existence of an attracting basin to the origin along [v], in the case of [v] a non-degenerate characteristic direction. In this paper we give conditions to guarantee the existence of basins along [v] in the case of [v] a degenerate characteristic direction.
Keywords
Cite
@article{arxiv.1106.1471,
title = {Degenerate characteristic directions for maps tangent to the Identity},
author = {Liz Vivas},
journal= {arXiv preprint arXiv:1106.1471},
year = {2011}
}
Comments
2 figures. The exposition has been improved and some typos corrected