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arXiv · 2105.10660

Normal forms of hyperbolic logarithmic transseries

Dino Peran·Maja Resman·Jean-Philippe Rolin·Tamara Servi
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Abstract

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.

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Dino Peran, Maja Resman, Jean-Philippe Rolin, Tamara Servi. 2021-05-22. Normal forms of hyperbolic logarithmic transseries. https://arxiv.org/abs/2105.10660

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