paper

Normal forms of hyperbolic logarithmic transseries

arXiv:2105.10660

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.

33 pages, 0 figures

Normal forms of hyperbolic logarithmic transseries · wovepaper