engleski

Analytic moduli for parabolic Dulac germs

In this paper we give moduli of analytic classification for parabolic Dulac, i.e., almost regular germs. Dulac germs appear as first return maps ofhyperbolic polycycles. Their moduli are given by a sequence of Ecalle-Voronin-like germs of analytic diffeomorphisms. We state the result in a bigger class of parabolic generalized Dulac germs having power-logarithmic asymptotic expansions.

Almost regular germ ; analytic invariants ; Ecalle-Voronin moduli ; Gevrey summability ; transseries

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