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arXiv · 1312.4030

Polynomial Hamiltonian Systems with Movable Algebraic Singularities

Thomas Kecker
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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.

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Thomas Kecker. 2013-12-14. Polynomial Hamiltonian Systems with Movable Algebraic Singularities. https://arxiv.org/abs/1312.4030

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