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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…
The last integrable case of kozlov-Treshchev Birkhoff integrable potentials
Pantelis A. Damianou, Vassilis Papageorgiou
We establish the integrability of the last open case in the Kozlov-Treshchev classification of Birkhoff integrable Hamiltonian systems. The technique used is a modification of the…