Browsing by Subject "Integrable systems"
Now showing items 1-4 of 4
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Article
From the Toda lattice to the Volterra lattice and back
(2002)We discuss the relationship between the multiple Hamiltonian structures of the generalized Toda lattices and that of the generalized Volterra lattice.
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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
On the liouville intergrability of lotka-volterra systems
(2014)This paper is a review on some recent works on the Liouville integrability of a large class of Lotka-Volterra systems. © 2014 Damianou and Petalidou.
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Article
So (p, q) Toda systems
(2013)We define an integrable Hamiltonian system of Toda type associated with the real Lie algebra so(p,q). As usual there exist a periodic and a non-periodic version. We construct, using the root space, two Lax pair representations ...