89 citations · 652 across the 38 of their papers we have counts for
38 papers
Integrable multi-Hamiltonian systems from reduction of an extended quasi-Poisson double of
M. Fairon, L. Feher
We construct a master dynamical system on a quasi-Poisson manifold, , built from the double an…
A note on quadratic Poisson brackets on related to Toda lattices
Laszlo Feher, Bence Juhasz
It is well known that the compatible linear and quadratic Poisson brackets of the full symmetric and of the standard open Toda lattices are restrictions of linear and quadratic …
Bi-Hamiltonian structure of Sutherland models coupled to two -valued spins from Poisson reduction
L. Feher
We introduce a bi-Hamiltonian hierarchy on the cotangent bundle of the real Lie group , and study its Poisson reduction with respect to the action of…
On the bi-Hamiltonian structure of the trigonometric spin Ruijsenaars--Sutherland hierarchy
L. Feher, I. Marshall
We report on the the trigonometric spin Ruijsenaars--Sutherland hierarchy derived recently by Poisson reduction of a bi-Hamiltonian hierarchy associated with free geodesic motion o…
Bi-Hamiltonian structure of a dynamical system introduced by Braden and Hone
L. Feher
We investigate the finite dimensional dynamical system derived by Braden and Hone in 1996 from the solitons of affine Toda field theory. This system of evolution equation…
Global description of action-angle duality for a Poisson-Lie deformation of the trigonometric Sutherland system
L. Feher, I. Marshall
Integrable many-body systems of Ruijsenaars--Schneider--van Diejen type displaying action-angle duality are derived by Hamiltonian reduction of the Heisenberg double of the Poisson…