9 citations · 9 across the 3 of their papers we have counts for
5 papers
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…
Integrable reductions of the dressing chain
Charalampos Evripidou, Pavlos Kassotakis, Pol Vanhaecke
In this paper we construct a family of integrable reductions of the dressing chain, described in its Lotka-Volterra form. For each with we obtai…
Dressing the Dressing Chain
Charalampos A. Evripidou, Peter H. van der Kamp, Cheng Zhang
The dressing chain is derived by applying Darboux transformations to the spectral problem of the Korteweg-de Vries (KdV) equation. It is also an auto-Bäcklund transformation for th…
Integrable deformations of the Bogoyavlenskij-Itoh Lotka-Volterra systems
Charalampos Evripidou, Pavlos Kassotakis, Pol Vanhaecke
We construct a family of integrable deformations of the Bogoyavlenskij-Itoh systems and construct a Lax operator with spectral parameter for it. Our approach is based on the constr…
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…