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This article is cited in 2 scientific papers (total 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.
Received: 13.07.2008 Accepted: 08.09.2008
Citation:
P. A. Damianou, “Reduction and realization in Toda and Volterra”, Regul. Chaotic Dyn., 13:6 (2008), 572–587
Linking options:
https://www.mathnet.ru/eng/rcd602 https://www.mathnet.ru/eng/rcd/v13/i6/p572
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