engleski

Classifications of Dulac germs

This talk is a continuation of the first course given by P. Mardesic. Wedescribe the structure of the (formal) Fatou coordinateΨof a parabolicDulac germfsatisfying theAbel equation:Ψ(f)−Ψ = 1.We demonstrate in which sense is the formal Fatou coordinate the transse-rial asymptotic expansion of the Fatou coordinate. We ensure the unique-ness of the transserial expansion by introducing the notion ofsectionalexpansions related to the choice of an appropriate germ at limit ordinalsteps. We also comment on formal and analytic classification of Dulac germs and relation to fractal analysis of their orbits. It is a joint workwith P. Mardešić, J. P. Rolin and V. Županović.

Dulac maps ; classification

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