From the Toda Lattice to the Volterra lattice and back
Mathematical Physics
2009-11-07 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
We discuss the relationship between the multiple Hamiltonian structures of the generalized Toda lattices and that of the generalized Volterra lattices. We use a symmtery approach for Poisson structures that generalizes the Poisson involution theorem.
Cite
@article{arxiv.math-ph/0202037,
title = {From the Toda Lattice to the Volterra lattice and back},
author = {Pantelis A. Damianou and Rui L. Fernandes},
journal= {arXiv preprint arXiv:math-ph/0202037},
year = {2009}
}
Comments
15 pages; Final version to appear in Reports on Math. Phys