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.
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.
| Original language | English |
|---|---|
| Pages (from-to) | 197-218 |
| Journal | Journal d'Analyse Mathématique |
| Volume | 129 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jul 2016 |
Keywords
- movable singularities
- Hamiltonian system
- singularity structure
- differential equation