Normal forms for logarithmic transseries and Dulac germs (CROSBI ID 719863)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa
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