The Fatou coordinate for parabolic Dulac germs
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | The Fatou coordinate for parabolic Dulac germs |
| Type de publication | Journal Article |
| Year of Publication | 2019 |
| Auteurs | Mardesic P., Resman M., Rolin J-P, Zupanovic V |
| Journal | JOURNAL OF DIFFERENTIAL EQUATIONS |
| Volume | 266 |
| Pagination | 3479-3513 |
| Date Published | MAR 5 |
| Type of Article | Article |
| ISSN | 0022-0396 |
| Mots-clés | Asymptotic expansion, Dulac germ, Embedding in a flow, Fatou coordinate, Transseries |
| Résumé | We study the class of parabolic Dulac germs of hyperbolic polycycles. For such germs we give a constructive proof of the existence of a unique Fatou coordinate, admitting an asymptotic expansion in the power-iterated logarithm monomials. (C) 2018 Elsevier Inc. All rights reserved. |
| DOI | 10.1016/j.jde.2018.09.008 |