Reduction and Realization in Toda and Volterra

Details Reduction and Realization in Toda and Volterra Reduction and Realization in Toda and Volterra

2008-12-18

arxiv.org/abs/0812.3644v1

Moser memorial issue, Regular and Chaotic Dynamics, 2008, Vol. 13, 572-587

Mathematics

Symplectic Geometry

17 pages

Scientific paper

10.1134/S1560354708060075

We construct a new symplectic, bi-hamiltonian realization of the KM-system by
reducing the corresponding one for the Toda lattice. The bi-hamiltonian pair is
constructed using a reduction theorem of Fernandes and Vanhaecke. In this paper
we also review the important work of Moser on the Toda and KM-systems.

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