A symplectic realization of the Volterra lattice
Mathematical Physics
2008-11-26 v1 Dynamical Systems
math.MP
Abstract
We examine the multiple Hamiltonian structure and construct a symplectic realization of the Volterra model. We rediscover the hierarchy of invariants, Poisson brackets and master symmetries via the use of a recursion operator. The rational Volterra bracket is obtained using a negative recursion operator.
Keywords
Cite
@article{arxiv.0806.1270,
title = {A symplectic realization of the Volterra lattice},
author = {M. A. Agrotis and P. A. Damianou and G. Marmo},
journal= {arXiv preprint arXiv:0806.1270},
year = {2008}
}
Comments
8 pages