20 citations · 29 across the 3 of their papers we have counts for
10 papers
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…
Discrete Lax pairs and hierarchies of integrable difference systems
Pavlos Kassotakis
We introduce a family of order Lax matrices that is indexed by the natural number For each value of they serve as strong Lax matrices…
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…
Tetrahedron maps and symmetries of three dimensional integrable discrete equations
Pavlos Kassotakis, Maciej Nieszporski, Vassilios Papageorgiou +1
A relationship between the tetrahedron equation for maps and the consistency property of integrable discrete equations on is investigated. Our approach is a generali…
Integrable multi-component difference systems of equations
Pavlos Kassotakis, Maciej Nieszporski, Vassilios Papageorgiou +1
We present two lists of multi-component systems of integrable difference equations defined on the edges of a graph. The integrability of these systems is manifested…
Systems of difference equations on a vector valued function that admit 3D space of scalar potentials
Pavlos Kassotakis, Maciej Nieszporski
For some involutive maps we find all invariants with separated variables. We investigate a link of…