Realization of analytic moduli for parabolic Dulac germs
| Affiliation auteurs | Affiliation ok |
| Titre | Realization of analytic moduli for parabolic Dulac germs |
| Type de publication | Journal Article |
| Year of Publication | 2022 |
| Auteurs | Mardesic P, Resman M |
| Journal | ERGODIC THEORY AND DYNAMICAL SYSTEMS |
| Volume | 42 |
| Pagination | PII S014338572000139X |
| Date Published | JAN |
| Type of Article | Article |
| ISSN | 0143-3857 |
| Mots-clés | almost regular germs, analytic invariants, Cauchy-Heine integrals, Ecalle-Voronin moduli, Gevrey expansions |
| Résumé | In a previous paper [P. Mardesic and M. Resman. Analytic moduli for parabolic Dulac germs. Russian Math. Surveys, to appear, 2021, arXiv:1910.06129v2.] we determined analytic invariants, that is, moduli of analytic classification, for parabolic generalized Dulac germs. This class contains parabolic Dulac (almost regular) germs, which appear as first-return maps of hyperbolic polycycles. Here we solve the problem of realization of these moduli. |
| DOI | 10.1017/etds.2020.139 |