53 citations · 479 across the 44 of their papers we have counts for
44 papers
On the maximal superintegrability of strongly isochronous Hamiltonians
L. Feher
We study strongly isochronous Hamiltonians that generate periodic time evolution with the same basic period for a dense set of initial values. We explain that all such Hamiltonians…
Poisson-Lie analogues of spin Sutherland models revisited
L. Feher
Some generalizations of spin Sutherland models descend from `master integrable systems' living on Heisenberg doubles of compact semisimple Lie groups. The master systems represent…
A decoupling property of some Poisson structures on supporting Poisson-Lie symmetry
M. Fairon, L. Feher
We study a holomorphic Poisson structure defined on the linear space that is covariant under t…
Bi-Hamiltonian structure of spin Sutherland models: the holomorphic case
L. Feher
We construct a bi-Hamiltonian structure for the holomorphic spin Sutherland hierarchy based on collective spin variables. The construction relies on Poisson reduction of a bi-Hamil…
Trigonometric real form of the spin RS model of Krichever and Zabrodin
M. Fairon, L. Feher, I. Marshall
We investigate the trigonometric real form of the spin Ruijsenaars-Schneider system introduced, at the level of equations of motion, by Krichever and Zabrodin in 1995. This pioneer…
Reduction of a bi-Hamiltonian hierarchy on to spin Ruijsenaars--Sutherland models
L. Feher
We first exhibit two compatible Poisson structures on the cotangent bundle of the unitary group in such a way that the invariant functions of the $\mathfrak{u}(n)^*…