Polynomial Hamiltonian Systems with Movable Algebraic Singularities

Published 14 Dec 2013 in math.CA | (1312.4030v1)

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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Authors (1)

Thomas Kecker

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