Pregled bibliografske jedinice broj: 1104398
Classifications of Dulac maps and epsilon-neighborhoods
Classifications of Dulac maps and epsilon-neighborhoods // 2018 Dynamics Days Loughborough book of abstracts
Loughborough, Ujedinjeno Kraljevstvo, 2018. str. 13-13 (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 1104398 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Classifications of Dulac maps and epsilon-neighborhoods
Autori
Resman, Maja ; Mardešić, Pavao ; Rolin, Jean-Philippe ; Županović, Vesna
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
2018 Dynamics Days Loughborough book of abstracts
/ - , 2018, 13-13
Skup
2018 Dynamics Days Loughborough
Mjesto i datum
Loughborough, Ujedinjeno Kraljevstvo, 02.09.2018. - 07.09.2018
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Dulac maps, normal forms, epsilon-neighborhoods
Sažetak
We give formal classification results for parabolic Dulac germs in the class of power-logarithm transseries. Parabolic Dulac germs appear as first-return maps around hyperbolic polycycles, and admit a power-logarithm asymptotic expansion. We further construct a Fatou coordinate for a parabolic Dulac germ (formal and sectorially analytic). We describe one application: reading the formal class of a germ from the initial part of the asymptotic expansion of the length of the epsilon-neighborhood of one orbit.This is a joint work with Pavao Mardeöic, Jean-Philippe Rolin and Vesna Županovic.
Izvorni jezik
Engleski
Znanstvena područja
Matematika