Reduction and realization in toda and volterra
Date
2008ISSN
1560-3547Source
Regular and Chaotic DynamicsVolume
13Issue
6Pages
572-587Google Scholar check
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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. © MAIK Nauka 2008.