3 papers
math.DS2021
Linearization of complex hyperbolic Dulac germs
Dino Peran, Maja Resman, Jean-Philippe Rolin +1
We prove that a hyperbolic Dulac germ with complex coefficients in its expansion is linearizable on a standard quadratic domain and that the linearizing coordinate is again a compl…
math.DS2021
Normal forms of hyperbolic logarithmic transseries
Dino Peran, Maja Resman, Jean-Philippe Rolin +1
We find the normal forms of hyperbolic logarithmic transseries with respect to parabolic logarithmic normalizing changes of variables. We provide a necessary and sufficient conditi…
math.DS2019
Analytic moduli for parabolic Dulac germs
Pavao Mardešić, Maja Resman
In this paper we give moduli of analytic classification for parabolic Dulac i.e. almost regular germs. Dulac germs appear as first return maps of hyperbolic polycycles. Their modul…