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Separation of variables for bi-Hamiltonian systems

Le : 15/11/2006 14h15
Par : Marco PEDRONI (Université de Bergamo, Italie)
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Résumé : The problem of separation of variables for the Hamilton-Jacobi equation will be discussed within the theoretical scheme of bi-Hamiltonian geometry. The properties of a special class of bi-Hamiltonian manifolds will be used to give intrisic tests of separability for Hamiltonian systems. If time permits, the well-known example of the Neumann-Rosochatius system will be treated.