Polynomial Hamiltonian systems with movable algebraic singularities

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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.
Original languageEnglish
Pages (from-to)197-218
JournalJournal d'Analyse Mathématique
Issue number1
Publication statusPublished - Jul 2016


  • movable singularities
  • Hamiltonian system
  • singularity structure
  • differential equation


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