Pregled bibliografske jedinice broj: 1104410
Classifications of Dulac germs
Classifications of Dulac germs // Zagreb Dynamical Systems Workshop 2018 Book of Abstracts
Zagreb, Hrvatska, 2018. str. 8-8 (predavanje, domaća recenzija, sažetak, znanstveni)
CROSBI ID: 1104410 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Classifications of Dulac germs
Autori
Resman, Maja ; Mardešić, Pavao ; Rolin, Jean-Philippe ; Županović, Vesna
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Zagreb Dynamical Systems Workshop 2018 Book of Abstracts
/ - , 2018, 8-8
Skup
Zagreb Dynamical Systems Workshop 2018
Mjesto i datum
Zagreb, Hrvatska, 22.10.2018. - 26.10.2018
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Domaća recenzija
Ključne riječi
Dulac maps ; classification
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika