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Normal forms for logarithmic transseries and Dulac germs (CROSBI ID 719863)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa

Peran, Dino ; Resman, Maja ; Rolin, Jean-Philippe ; Servi, Tamara Normal forms for logarithmic transseries and Dulac germs // Bifurcations of dynamical systems workshop. 2022. str. 4-4

Podaci o odgovornosti

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

engleski

Normal forms for logarithmic transseries and Dulac germs

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

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

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Podaci o prilogu

4-4.

2022.

objavljeno

Podaci o matičnoj publikaciji

Bifurcations of dynamical systems workshop

Podaci o skupu

Bifurcations of dynamical systems workshop

predavanje

09.02.2022-12.02.2022

Zagreb, Hrvatska

Povezanost rada

Matematika