Polynomial Hamiltonian Systems with Movable Algebraic Singularities
Classical Analysis and ODEs
2013-12-17 v1
Abstract
The singularity structure of solutions of a class of Hamiltonian systems of ordinary differential equations in two dependent variables is studied. It is shown that for any solution, all movable singularities, obtained by analytic continuation along a rectifiable curve, are at most algebraic branch points.
Cite
@article{arxiv.1312.4030,
title = {Polynomial Hamiltonian Systems with Movable Algebraic Singularities},
author = {Thomas Kecker},
journal= {arXiv preprint arXiv:1312.4030},
year = {2013}
}
Comments
Accepted for publication in the Journal d'Analyse Math\'ematique; 26 pages