On a class of dynamical systems both quasi-bi-Hamiltonian and bi-Hamiltonian
arXiv:solv-int/9811007 · doi:10.1016/S0375-9601(98)00543-X
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.
11 pages, AMS-LaTex 1.1
References in corpus (1)
Cited by in corpus (7)
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