Reduction and realization in Toda and Volterra

2008, Volume 13, Number 6, pp. 572-587

Author(s): Damianou P. A.

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.

Keywords: Toda lattice, bi-Hamiltonian systems

Citation: Damianou P. A., Reduction and realization in Toda and Volterra, Regular and Chaotic Dynamics, 2008, Volume 13, Number 6, pp. 572-587

DOI: 10.1134/S1560354708060075

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