3 citations · 3 across the 3 of their papers we have counts for
3 papers
math-ph2008★ 3 cited
A symplectic realization of the Volterra lattice
M. A. Agrotis, P. A. Damianou, G. Marmo
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 s…
math.DG2007
The modular hierarchy of the Toda lattice
Maria A. Agrotis, Pantelis A. Damianou
The modular vector field plays an important role in the theory of Poisson manifolds and is intimately connected with the Poisson cohomology of the space. In this paper we investiga…
math-ph2005
Volterra's realization of the KM-system
M. A. Agrotis, P. A. Damianou
We construct a symplectic realization of the KM-system and obtain the higher order Poisson tensors and commuting flows via the use of a recursion operator. This is achieved by doub…