Normal forms and embeddings for power-log transseries
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | Normal forms and embeddings for power-log transseries |
| Type de publication | Journal Article |
| Year of Publication | 2016 |
| Auteurs | Mardesic P., Resman M., Rolin J-P., Zupanovic V. |
| Journal | ADVANCES IN MATHEMATICS |
| Volume | 303 |
| Pagination | 888-953 |
| Date Published | NOV 5 |
| Type of Article | Article |
| ISSN | 0001-8708 |
| Mots-clés | Dulac map, Embedding in a flow, Iteration theory, Normal forms, Transseries |
| Résumé | Dulac series are asymptotic expansions of first return maps in a neighborhood of a hyperbolic polycycle. In this article, we consider two algebras 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. (C) 2016 Elsevier Inc. All rights reserved. |
| DOI | 10.1016/j.aim.2016.08.030 |