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math-ph2020
Morphisms and automorphisms of skew-symmetric Lotka-Volterra systems
Charalampos Evripidou, Pavlos Kassotakis, Pol Vanhaecke
We study the basic relation between skew-symmetric Lotka-Volterra systems and graphs, both at the level of objects and morphisms, and derive a classification from it of skew-symmet…
math-ph2015
Bi-Hamiltonian structures of Toda type systems
Charalampos A. Evripidou
In this paper we define a family of systems which have similarities with the Toda lattice. We construct two Lax pair representations and the associate Poisson structures for these…