30 citations · 213 across the 19 of their papers we have counts for
7 papers · 1 filter
Deformations of cluster mutations and invariant presymplectic forms
Andrew N. W. Hone, Theodoros E. Kouloukas
We consider deformations of sequences of cluster mutations in finite type cluster algebras, which destroy the Laurent property but preserve the presymplectic structure defined by t…
Discrete Hirota reductions associated with the lattice KdV equation
Andrew N. W. Hone, Theodoros E. Kouloukas
We study the integrability of a family of birational maps obtained as reductions of the discrete Hirota equation, which are related to travelling wave solutions of the lattice KdV…
Relativistic Collisions as Yang-Baxter maps
Theodoros E. Kouloukas
We prove that one-dimensional elastic relativistic collisions satisfy the set-theoretical Yang-Baxter equation. The corresponding collision maps are symplectic and admit a Lax repr…
Liouville integrability and superintegrability of a generalized Lotka-Volterra system and its Kahan discretization
Theodoros E. Kouloukas, G. R. W. Quispel, Pol Vanhaecke
We prove the Liouville and superintegrability of a generalized Lotka-Volterra system and its Kahan discretization.
3D compatible ternary systems and Yang-Baxter maps
Theodoros E. Kouloukas, Vassilios G. Papageorgiou
According to Shibukawa, ternary systems defined on quasigroups and satisfying certain conditions provide a way of constructing dynamical Yang-Baxter maps. After noticing that these…
Poisson Yang-Baxter maps with binomial Lax matrices
Theodoros E. Kouloukas, Vassilios G. Papageorgiou
A construction of multidimensional parametric Yang-Baxter maps is presented. The corresponding Lax matrices are the symplectic leaves of first degree matrix polynomials equipped wi…
Entwining Yang-Baxter maps and integrable lattices
Theodoros E. Kouloukas, Vassilios G. Papageorgiou
Yang-Baxter (YB) map systems (or set-theoretic analoga of entwining YB structures) are presented. They admit zero curvature representations with spectral parameter depended Lax tri…