Naslov
Normal forms for logarithmic transseries and Dulac germs

Autori
Peran, Dino ; Resman, Maja ; Rolin, Jean-Philippe ; Servi, Tamara

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Bifurcations of dynamical systems workshop / - , 2022, 4-4

Skup
Bifurcations of dynamical systems workshop

Mjesto i datum
Zagreb, Hrvatska, 09.02.2022. - 12.02.2022

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Podatak o recenziji nije dostupan

Ključne riječi
logarithmic transseries, (complex) Dulac germs, Dulac series, standard quadratic domains, iteration theory, Koenigs sequence, formal and analytic classification
(ogarithmic transseries, (complex) Dulac germs, Dulac series, standard quadratic domains, iteration theory, Koenigs sequence, formal and analytic classification)

Sažetak
We obtain short normal forms for logarithmic transseries by using fixed point theorems and solving various formal differential equations on appropriate spaces of logarithmic transseries. Therefore, normalizations are given as limits of Picard sequences in appropriate formal topologies. We apply these formal results to find analytic normal forms of (strongly) hyperbolic Dulac germs on standard quadratic domains. These results can be seen as generalizations of the classical Koenigs Theorem and the B¨ottcher Theorem. Joint work with M. Resman, J.-P. Rolin and T. Servi

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA