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From the Toda Lattice to the Volterra lattice and back

Pantelis A. Damianou, Rui L. Fernandes

math-pharXiv:math-ph/0202037

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.

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