Pregled bibliografske jedinice broj: 1104396
The Fatou coordinate of a parabolic Dulac germ
The Fatou coordinate of a parabolic Dulac germ // Universality of Resurgence in Quantization Theories, http://crm.sns.it/event/433/participants.html?page=1#title
Pisa, Italija, 2018. str. 8-8 (pozvano predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 1104396 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
The Fatou coordinate of a parabolic Dulac germ
Autori
Resman, Maja ; Mardešić, Pavao, Rolin, Jean-Philippe ; Županović, Vesna
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Universality of Resurgence in Quantization Theories, http://crm.sns.it/event/433/participants.html?page=1#title
/ - , 2018, 8-8
Skup
Universality of Resurgence in Quantization Theories
Mjesto i datum
Pisa, Italija, 13.06.2018. - 15.06.2018
Vrsta sudjelovanja
Pozvano predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Abel equation, Dulac germs, embeddings in a flow
Sažetak
This research is motivated by the question of cyclicity for hyperbolic polycycles in planar vector fields. We consider one-dimensional germs (at fixed point 0) which admit asymptotic expansion in power-logarithmic scale (the Dulac maps). We discuss embedding of such maps in a flow as time-one maps, that is, their rectifying Fatou coordinate. We study the transserial nature of an asymptotic expansion of the Fatou coordinate, and define an appropriate notion of integral asymptotic expansions to ensure uniqueness of the expansion. Finally, we motivate our work by fractal analysis: we answer the question of reading the formal class of a Dulac germ from the initial part of the expansion of the length of the epsilon-neighborhood of only one orbit. This is a joint work with P. Mardešić, J.P. Rolin and V. Županović.
Izvorni jezik
Engleski