Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6425011 | Advances in Mathematics | 2016 | 66 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
P. MardeÅ¡iÄ, M. Resman, J.-P. Rolin, V. ŽupanoviÄ,