Analytic moduli for parabolic Dulac germs
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | Analytic moduli for parabolic Dulac germs |
| Type de publication | Journal Article |
| Year of Publication | 2021 |
| Auteurs | Mardesic P., Resman M. |
| Journal | RUSSIAN MATHEMATICAL SURVEYS |
| Volume | 76 |
| Pagination | 389-460 |
| Date Published | JUN |
| Type of Article | Article |
| ISSN | 0036-0279 |
| Mots-clés | analytic invariants, Dulac germ, Ecalle-Voronin moduli, Gevrey summability, Transseries |
| Résumé | This paper gives moduli of analytic classification for parabolic Dulac germs (that is, almost regular germs). Dulac germs appear as first return maps of hyperbolic polycycles. Their moduli are given by a sequence of ecalle-Voronin-type germs of analytic diffeomorphisms. The result is stated in a broader class of parabolic generalized Dulac germs having power- logarithmic asymptotic expansions. Bibliography: 23 titles. |
| DOI | 10.1070/RM10001 |