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Article Dans Une Revue Journal of Differential Equations Année : 2023

Normal forms of hyperbolic logarithmic transseries

Résumé

We find the normal forms of hyperbolic logarithmic transseries with respect to parabolic logarithmic normalizing changes of variables. We provide a necessary and sufficient condition on such transseries for the normal form to be linear. The normalizing transformations are obtained via fixed point theorems, and are given algorithmically, as limits of Picard sequences in appropriate topologies.

Dates et versions

hal-04335589 , version 1 (11-12-2023)

Identifiants

Citer

D. Peran, M. Resman, Jean-Philippe Rolin, T. Servi. Normal forms of hyperbolic logarithmic transseries. Journal of Differential Equations, 2023, 348, pp.154-190. ⟨10.1016/j.jde.2022.12.002⟩. ⟨hal-04335589⟩
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