This article is cited in 2 papers

JÜRGEN MOSER – 80

Reduction and realization in Toda and Volterra

P. A. Damianou

Department of Mathematics and Statistics, University of Cyprus, P.O. Box 20537, 1678 Nicosia, Cyprus

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.

Keywords: Toda lattice, bi-Hamiltonian systems.

MSC: 37J35, 53D17

Received: 13.07.2008
Accepted: 08.09.2008

Language: English

DOI: 10.1134/S1560354708060075

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