13 citations · 32 across the 9 of their papers we have counts for
12 papers
On quadrirational pentagon maps
Charalampos Evripidou, Pavlos Kassotakis, Anastasios Tongas
We classify rational solutions of a specific type of the set theoretical version of the pentagon equation. That is, we find all quadrirational maps $R:(x,y)\mapsto (u(x,y),v(x,y)),…
Kahan discretizations of skew-symmetric Lotka-Volterra systems and Poisson maps
Charalampos Evripidou, Pavlos Kassotakis, Pol Vanhaecke
The Kahan discretization of the Lotka-Volterra system, associated with any skew-symmetric graph , leads to a family of rational maps, parametrized by the step size. When these m…
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…
Analyticity of dissipative-dispersive systems in higher dimensions
Charalampos Evripidou, Yiorgos-Sokratis Smyrlis
We investigate the analyticity of the attractors of a class of Kuramoto-Sivashinsky type pseudo-differential equations in higher dimensions, which are periodic in all spatial varia…