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

C. Morosi·G. Tondo
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Abstract

It is shown that a class of dynamical systems (encompassing the one recently considered by F. Calogero [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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C. Morosi, G. Tondo. 1998-11-10. On a class of dynamical systems both quasi-bi-Hamiltonian and bi-Hamiltonian. https://doi.org/10.1016/s0375-9601(98)00543-x

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