It is shown that a class of dynamical systems (encompassing the one recently considered by F. Calogero in J. Math. Phys. 37 (1996) 1735) is both quasi-bi-Hamiltonian and bi-Hamiltonian. The first formulation entails the separability of these systems; the second one is obtained trough a non canonical map whose form is directly suggested by the associated Nijenhuis tensor.

On a class of dynamical systems both quasi-bi-Hamiltonian and bi-Hamiltonian

MOROSI, CARLO;
1998

Abstract

It is shown that a class of dynamical systems (encompassing the one recently considered by F. Calogero in J. Math. Phys. 37 (1996) 1735) is both quasi-bi-Hamiltonian and bi-Hamiltonian. The first formulation entails the separability of these systems; the second one is obtained trough a non canonical map whose form is directly suggested by the associated Nijenhuis tensor.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/560887
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