Geodesic
Analytic moduli for parabolic Dulac germs
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 76 (2021) no. 3, pp. 389-460

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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: analytic invariants, Écalle–Voronin moduli, Gevrey summability, transseries.
Mots-clés : Dulac germ 
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P. Mardešić; M. Resman. Analytic moduli for parabolic Dulac germs. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 76 (2021) no. 3, pp. 389-460. http://geodesic.mathdoc.fr/item/RM_2021_76_3_a1/