From the Toda Lattice to the Volterra lattice and back

Details From the Toda Lattice to the Volterra lattice and back From the Toda Lattice to the Volterra lattice and back

2002-02-25

arxiv.org/abs/math-ph/0202037v2

Physics

Mathematical Physics

15 pages; Final version to appear in Reports on Math. Phys

Scientific paper

10.1016/S0034-4877(02)80066-0

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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