Naslov
Classifications of Dulac germs

Autori
Resman, Maja ; Mardešić, Pavao

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Advances in Qualitative Theory of Differential equations - Book of abstracts / - , 2019, 5-5

Skup
Advances in Qualitative Theory of Differential equations

Mjesto i datum
Castro-Urdiales, Španjolska, 17.06.2019. - 21.06.2019

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Dulac germs, analytic classification, Ecalle-Vorionin moduli

Sažetak
We consider one-dimensional germs which admit asymptotic expansion inpower-logarithmic scale (the Dulac maps). We discuss formal and analytic classi-fication of such maps, related to the question of formal and analytic embeddingas a time-one map in a vector field. As a crucial step, we construct a (sectorialand formal) Fatou coordinate of a Dulac germ. The research of such germs ismotivated by the question of cyclicity for hyperbolic polycycles in planar vectorfields.This is a joint work with P. Mardešić, J.P. Rolin, and V.Županović.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA