engleski

The Fatou coordinate for parabolic Dulac germs

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 logarithm monomials.

Dulac germ ; Fatou coordinate ; Embedding in a flow ; Asymptotic expansion ; Transseries

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