Natural levels in return maps of elementary polycycles
Dynamical Systems
2024-09-23 v1
Abstract
We will provide a proof of a known specific case of Dulac's Theorem in the style of Ilyashenko. From this we derive a quasi-analyticity result for some return maps of polycycles and we give a Structural Theorem for the formal asymptotics of such a polycycle.
Keywords
Cite
@article{arxiv.2409.13630,
title = {Natural levels in return maps of elementary polycycles},
author = {Melvin Yeung},
journal= {arXiv preprint arXiv:2409.13630},
year = {2024}
}