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Normal forms and embeddings for power-log transseries

Dulac series are asymptotic expansions of first return maps in a neighborhood of a hyperbolic polycycle. In this article, we consider two algebras of power-log transseries (generalized series) which extend the algebra of Dulac series. We give a formal normal form and prove a formal embedding theorem for transseries in these algebras.

Iteration theory ; Dulac map ; normal forms ; embedding in a flow ; transseries.

Rad se nalazi i na adresi http://arxiv.org/abs/1505.05929v2.