engleski

Realization of analytic moduli for parabolic Dulac germs

In a previous paper [P. Mardešic 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.

almost regular germs ; analytic invariants ; Cauchy–Heine integrals ; Ecalle–Voronin moduli ; Gevrey expansions

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