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arXiv · 0812.3644

Reduction and Realization in Toda and Volterra

Pantelis A. Damianou
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Abstract

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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Pantelis A. Damianou. 2008-12-18. Reduction and Realization in Toda and Volterra. https://doi.org/10.1134/s1560354708060075

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