Browsing by Subject "KM-system"
Now showing items 1-2 of 2
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Article
On generalized Volterra systems
(2015)We construct a large family of evidently integrable Hamiltonian systems which are generalizations of the KM system. The algorithm uses the root system of a complex simple Lie algebra. The Hamiltonian vector field is ...
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Article
Volterra's realization of the KM-system
(2007)We construct a symplectic realization of the KM-system and obtain the higher order Poisson tensors and commuting flows via the use of a recursion operator. This is achieved by doubling the number of variables through ...