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The Fatou coordinate for parabolic Dulac germs

Published 2 Oct 2017 in math.DS | (1710.01268v2)

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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