Normal forms of hyperbolic logarithmic transseries
Dynamical Systems
2021-06-22 v2
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.
Cite
@article{arxiv.2105.10660,
title = {Normal forms of hyperbolic logarithmic transseries},
author = {Dino Peran and Maja Resman and Jean-Philippe Rolin and Tamara Servi},
journal= {arXiv preprint arXiv:2105.10660},
year = {2021}
}
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33 pages, 0 figures