Formal normal forms and formal embeddings into flows for power-log transseries
Dynamical Systems
2016-06-09 v2 Classical Analysis and ODEs
Abstract
The Dulac series are the asymptotic expansions of first return maps in a neighborhood of a hyperbolic polycycle. In this article, we consider two algebras and of power-log transseries (generalized series) which extend the algebra of Dulac series. We give a formal normal form and prove a formal embedding theorem for transseries in these algebras.
Keywords
Cite
@article{arxiv.1505.05929,
title = {Formal normal forms and formal embeddings into flows for power-log transseries},
author = {Pavao Mardesic and Maja Resman and Jean-Philippe Rolin and Vesna Zupanovic},
journal= {arXiv preprint arXiv:1505.05929},
year = {2016}
}