The Fatou coordinate for parabolic Dulac germs

2017/10/02 by Mardesic, Pavao, Resman, Maja, Rolin, Jean-Philippe +1
#30B10 #30B12 #34C07 #34E05 #37C05 #37C10 #37C15 #39A06 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1710.01268

Abstract

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 asymptotic expansion in the power-iterated log scale.

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