Iterative polynomial regularisation of PIV-type: Hamiltonian systems and Newton polygons
Mathematical Physics
2025-10-16 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
We study several polynomial Hamiltonian systems of PIV-type (including the mixed case quasi-PIV), and show that via the iterative process of polynomial regularisation, it is possible to identify the "minimal" Hamiltonian system. The selected Hamiltonian function is associated with the Newton polygon with minimal area and smallest highest total degree.
Cite
@article{arxiv.2510.12378,
title = {Iterative polynomial regularisation of PIV-type: Hamiltonian systems and Newton polygons},
author = {Marta Dell'Atti and Galina Filipuk},
journal= {arXiv preprint arXiv:2510.12378},
year = {2025}
}
Comments
21 pages, 28 figures