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Pregled bibliografske jedinice broj: 1104398

Classifications of Dulac maps and epsilon-neighborhoods


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



POVEZANOST RADA


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

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

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
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)
Resman, M., Mardešić, P., Rolin, J. & Županović, V. (2018) Classifications of Dulac maps and epsilon-neighborhoods. U: 2018 Dynamics Days Loughborough book of abstracts.
@article{article, author = {Resman, Maja and Marde\v{s}i\'{c}, Pavao and Rolin, Jean-Philippe and \v{Z}upanovi\'{c}, Vesna}, year = {2018}, pages = {13-13}, keywords = {Dulac maps, normal forms, epsilon-neighborhoods}, title = {Classifications of Dulac maps and epsilon-neighborhoods}, keyword = {Dulac maps, normal forms, epsilon-neighborhoods}, publisherplace = {Loughborough, Ujedinjeno Kraljevstvo} }
@article{article, author = {Resman, Maja and Marde\v{s}i\'{c}, Pavao and Rolin, Jean-Philippe and \v{Z}upanovi\'{c}, Vesna}, year = {2018}, pages = {13-13}, keywords = {Dulac maps, normal forms, epsilon-neighborhoods}, title = {Classifications of Dulac maps and epsilon-neighborhoods}, keyword = {Dulac maps, normal forms, epsilon-neighborhoods}, publisherplace = {Loughborough, Ujedinjeno Kraljevstvo} }




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