On a class of dynamical systems both quasi-bi-Hamiltonian and bi-Hamiltonian
solv-int
2009-10-31 v1 Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.solv-int/9811007,
title = {On a class of dynamical systems both quasi-bi-Hamiltonian and bi-Hamiltonian},
author = {C. Morosi and G. Tondo},
journal= {arXiv preprint arXiv:solv-int/9811007},
year = {2009}
}
Comments
11 pages, AMS-LaTex 1.1