Analytic moduli for parabolic Dulac germs
Dynamical Systems
2020-07-16 v2
Abstract
In this paper we give moduli of analytic classification for parabolic Dulac i.e. almost regular germs. Dulac germs appear as first return maps of hyperbolic polycycles. Their moduli are given by a sequence of Ecalle-Voronin-like germs of analytic diffeomorphisms. We state the result in a bigger class of parabolic generalized Dulac germs having power-logarithmic asymptotic expansions.
Cite
@article{arxiv.1910.06129,
title = {Analytic moduli for parabolic Dulac germs},
author = {Pavao Mardešić and Maja Resman},
journal= {arXiv preprint arXiv:1910.06129},
year = {2020}
}
Comments
63 pages, 5 figures