Reduction and Realization in Toda and Volterra
Symplectic Geometry
2015-04-29 v1 Mathematical Physics
math.MP
Abstract
We construct a new symplectic, bi-hamiltonian realization of the KM-system by reducing the corresponding one for the Toda lattice. The bi-hamiltonian pair is constructed using a reduction theorem of Fernandes and Vanhaecke. In this paper we also review the important work of Moser on the Toda and KM-systems.
Cite
@article{arxiv.0812.3644,
title = {Reduction and Realization in Toda and Volterra},
author = {Pantelis A. Damianou},
journal= {arXiv preprint arXiv:0812.3644},
year = {2015}
}
Comments
17 pages