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math.DS2017
The Fatou coordinate for parabolic Dulac germs
Pavao Mardesic, Maja Resman, Jean-Philippe Rolin +1
We study the class of parabolic Dulac germs of hyperbolic polycycles. For such germs we give a constructive proof of the existence of a unique Fatou coordinate, admitting an asympt…
math.DS2017
A note on the box dimension of degenerate foci
Domagoj Vlah, Darko Zubrinic, Vesna Zupanovic
We study polynomial planar systems with singularity of focus type without characteristic directions. Simple and natural transformation of weak focus has been used to obtain such de…