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Pregled bibliografske jedinice broj: 1104396

The Fatou coordinate of a parabolic Dulac germ


Resman, Maja; Mardešić, Pavao, Rolin, Jean-Philippe; Županović, Vesna
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)


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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



POVEZANOST RADA


Projekti:
HRZZ-16 - Klasifikacije Dulacovih preslikavanja i epsilon-okoline (Resman, Maja, HRZZ ) ( CroRIS)

Profili:

Avatar Url Maja Resman (autor)

Avatar Url Vesna Županović (autor)

Avatar Url Pavao Mardešić (autor)


Citiraj ovu publikaciju:

Resman, Maja; Mardešić, Pavao, Rolin, Jean-Philippe; Županović, Vesna
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)
Resman, M., Mardešić, Pavao, Rolin, Jean-Philippe & Županović, V. (2018) The Fatou coordinate of a parabolic Dulac germ. U: Universality of Resurgence in Quantization Theories, http://crm.sns.it/event/433/participants.html?page=1#title.
@article{article, author = {Resman, Maja and \v{Z}upanovi\'{c}, Vesna}, year = {2018}, pages = {8-8}, keywords = {Abel equation, Dulac germs, embeddings in a flow}, title = {The Fatou coordinate of a parabolic Dulac germ}, keyword = {Abel equation, Dulac germs, embeddings in a flow}, publisherplace = {Pisa, Italija} }
@article{article, author = {Resman, Maja and \v{Z}upanovi\'{c}, Vesna}, year = {2018}, pages = {8-8}, keywords = {Abel equation, Dulac germs, embeddings in a flow}, title = {The Fatou coordinate of a parabolic Dulac germ}, keyword = {Abel equation, Dulac germs, embeddings in a flow}, publisherplace = {Pisa, Italija} }




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