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This article is cited in 4 scientific papers (total in 4 papers)
Analytic moduli for parabolic Dulac germs
P. Mardešićab, M. Resmanb a Université Bourgogne Franche-Comté, Institut de Mathématiques de Bourgogne,
UMR 5584, CNRS, Dijon, France
b University of Zagreb, Faculty of Science, Department of Mathematics, Bijenicka 30, Zagreb, Croatia
Abstract:
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 Écalle–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.
Keywords:
Dulac germ, analytic invariants, Écalle–Voronin moduli, Gevrey summability, transseries.
Received: 07.11.2019
Citation:
P. Mardešić, M. Resman, “Analytic moduli for parabolic Dulac germs”, Russian Math. Surveys, 76:3 (2021), 389–460
Linking options:
https://www.mathnet.ru/eng/rm10001https://doi.org/10.1070/RM10001 https://www.mathnet.ru/eng/rm/v76/i3/p13
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Abstract page: | 301 | Russian version PDF: | 61 | English version PDF: | 45 | Russian version HTML: | 36 | References: | 51 | First page: | 5 |
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