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;
1998-01-01
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.File in questo prodotto:
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