From the Toda Lattice to the Volterra lattice and back
classification
🧮 math-ph
math.MPnlin.SI
keywords
generalizedlatticelatticespoissonstructurestodavolterraapproach
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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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