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...
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| Veröffentlicht in: | Advances in mathematics (New York. 1965) 2016-11, Vol.303, p.888-953 |
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| container_title | Advances in mathematics (New York. 1965) |
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| creator | Mardešić, P. Resman, M. Rolin, J.-P. Županović, V. |
| description | 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. |
| doi_str_mv | 10.1016/j.aim.2016.08.030 |
| format | Article |
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| ispartof | Advances in mathematics (New York. 1965), 2016-11, Vol.303, p.888-953 |
| issn | 0001-8708 1090-2082 |
| language | eng |
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| source | Elsevier ScienceDirect Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Classical Analysis and ODEs Dulac map Dynamical Systems Embedding in a flow Iteration theory Mathematics Normal forms Transseries |
| title | Normal forms and embeddings for power-log transseries |
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